{"id":4688,"date":"2021-11-26T13:30:39","date_gmt":"2021-11-26T13:30:39","guid":{"rendered":"https:\/\/avadawebsites.wpengine.com\/classic\/?page_id=4688"},"modified":"2026-10-22T16:49:19","modified_gmt":"2026-10-22T19:49:19","slug":"research","status":"publish","type":"page","link":"https:\/\/www.datadrivencontrol.com\/?page_id=4688","title":{"rendered":"Research"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling fusion-animated\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-bottom:120px;--awb-margin-bottom-medium:80px;--awb-margin-bottom-small:60px;--awb-flex-wrap:wrap;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-center fusion-flex-content-wrap\" style=\"max-width:1216.8px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion-flex-column\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:0px;--awb-spacing-right-large:4.8%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:4.8%;--awb-width-medium:40%;--awb-spacing-right-medium:4.8%;--awb-spacing-left-medium:4.8%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-margin-bottom-small:15px;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\" style=\"--awb-font-size:var(--awb-typography2-font-size);--awb-line-height:var(--awb-typography2-line-height);--awb-letter-spacing:var(--awb-typography2-letter-spacing);--awb-text-transform:var(--awb-typography2-text-transform);--awb-text-color:var(--awb-color4);--awb-text-font-family:var(--awb-typography2-font-family);--awb-text-font-weight:var(--awb-typography2-font-weight);--awb-text-font-style:var(--awb-typography2-font-style);\"><p style=\"letter-spacing: 3px;\">RESEARCH<\/p>\n<\/div><div class=\"fusion-title title fusion-title-1 fusion-title-text fusion-title-size-two\" style=\"--awb-margin-bottom:0px;--awb-margin-top-small:0px;--awb-margin-bottom-small:20px;--awb-font-size:37px;\"><div class=\"title-sep-container title-sep-container-left fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><div class=\"title-sep sep- sep-solid\" style=\"border-color:var(--awb-color3);\"><\/div><\/div><span class=\"awb-title-spacer fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><\/span><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;text-transform:capitalize;font-size:1em;--fontSize:37;line-height:1.35;\">Control design and system identification from data.<\/h2><span class=\"awb-title-spacer\"><\/span><div class=\"title-sep-container title-sep-container-right\"><div class=\"title-sep sep- sep-solid\" style=\"border-color:var(--awb-color3);\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion-flex-column\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:60%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.2%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:6.4%;--awb-width-medium:60%;--awb-spacing-right-medium:3.2%;--awb-spacing-left-medium:6.4%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-2 fusion-text-no-margin\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-bottom:0px;\"><p>We study how to design controllers and identify models using data collected on the process. Our contributions range from the theory of data-driven control, such as convergence, identifiability and statistical properties of the estimates, to methods and software that engineers can apply on real plants.<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left top;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-bottom:40px;--awb-margin-bottom-medium:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-content-wrap\" style=\"max-width:1216.8px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:5.76%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:5.76%;--awb-width-medium:50%;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-content-boxes content-boxes columns row fusion-columns-1 fusion-columns-total-1 fusion-content-boxes-1 content-boxes-icon-on-top content-left fusion-delayed-animation\" style=\"--awb-title-color:var(--awb-color7);--awb-margin-top:10px;--awb-margin-bottom:0px;--awb-hover-accent-color:var(--awb-color4);--awb-circle-hover-accent-color:var(--awb-color4);--awb-item-margin-bottom:40px;\" data-animation-delay=\"350\" data-animationOffset=\"top-into-view\"><div style=\"--awb-backgroundcolor:rgba(255,255,255,0);\" class=\"fusion-column content-box-column content-box-column content-box-column-1 col-lg-12 col-md-12 col-sm-12 fusion-content-box-hover content-box-column-last content-box-column-last-in-row\"><div class=\"col content-box-wrapper content-wrapper link-area-link-icon content-icon-wrapper-yes icon-hover-animation-slide fusion-animated\" data-animationType=\"fadeInUp\" data-animationDuration=\"1\" data-animationOffset=\"top-into-view\"><div class=\"heading heading-with-icon icon-left\"><div class=\"icon\" style=\"-webkit-animation-duration: 350ms;animation-duration: 350ms;\"><span style=\"height:56px;width:56px;line-height:28px;border-color:rgba(255,255,255,0);border-width:2px;border-style:solid;background-color:rgba(255,255,255,0);box-sizing:content-box;border-radius:100%;\"><i style=\"border-color:rgba(255,255,255,0);border-width:0px;background-color:var(--awb-color4);box-sizing:content-box;height:56px;width:56px;line-height:56px;border-radius:100%;position:relative;top:auto;left:auto;margin:0;border-radius:100%;font-size:28px;\" aria-hidden=\"true\" class=\"fontawesome-icon classic-cubes-solid circle-yes\"><\/i><\/span><\/div><h2 class=\"content-box-heading fusion-responsive-typography-calculated\" style=\"--h2_typography-font-size:24px;--fontSize:24;line-height:var(--awb-typography1-line-height);\">Virtual Reference Feedback Tuning<\/h2><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\">One-shot controller tuning from a single batch of data. We have extended VRFT to non-minimum phase plants, multivariable and cascade systems, nonlinear controllers and disturbance rejection (Virtual Disturbance Feedback Tuning).<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:5.76%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:5.76%;--awb-width-medium:50%;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-content-boxes content-boxes columns row fusion-columns-1 fusion-columns-total-1 fusion-content-boxes-2 content-boxes-icon-on-top content-left fusion-delayed-animation\" style=\"--awb-title-color:var(--awb-color7);--awb-margin-top:10px;--awb-margin-bottom:0px;--awb-hover-accent-color:var(--awb-color4);--awb-circle-hover-accent-color:var(--awb-color4);--awb-item-margin-bottom:40px;\" data-animation-delay=\"350\" data-animationOffset=\"top-into-view\"><div style=\"--awb-backgroundcolor:rgba(255,255,255,0);\" class=\"fusion-column content-box-column content-box-column content-box-column-1 col-lg-12 col-md-12 col-sm-12 fusion-content-box-hover content-box-column-last content-box-column-last-in-row\"><div class=\"col content-box-wrapper content-wrapper link-area-link-icon content-icon-wrapper-yes icon-hover-animation-slide fusion-animated\" data-animationType=\"fadeInUp\" data-animationDuration=\"1\" data-animationOffset=\"top-into-view\"><div class=\"heading heading-with-icon icon-left\"><div class=\"icon\" style=\"-webkit-animation-duration: 350ms;animation-duration: 350ms;\"><span style=\"height:56px;width:56px;line-height:28px;border-color:rgba(255,255,255,0);border-width:2px;border-style:solid;background-color:rgba(255,255,255,0);box-sizing:content-box;border-radius:100%;\"><i style=\"border-color:rgba(255,255,255,0);border-width:0px;background-color:var(--awb-color4);box-sizing:content-box;height:56px;width:56px;line-height:56px;border-radius:100%;position:relative;top:auto;left:auto;margin:0;border-radius:100%;font-size:28px;\" aria-hidden=\"true\" class=\"fontawesome-icon classic-cog-solid circle-yes\"><\/i><\/span><\/div><h2 class=\"content-box-heading fusion-responsive-typography-calculated\" style=\"--h2_typography-font-size:24px;--fontSize:24;line-height:var(--awb-typography1-line-height);\">Optimal Controller Identification<\/h2><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\">Data-driven model reference control formulated as a prediction error identification problem, for single-loop and multivariable systems, including non-minimum phase plants.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:5.76%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:5.76%;--awb-width-medium:50%;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-content-boxes content-boxes columns row fusion-columns-1 fusion-columns-total-1 fusion-content-boxes-3 content-boxes-icon-on-top content-left fusion-delayed-animation\" style=\"--awb-title-color:var(--awb-color7);--awb-margin-top:10px;--awb-margin-bottom:0px;--awb-hover-accent-color:var(--awb-color4);--awb-circle-hover-accent-color:var(--awb-color4);--awb-item-margin-bottom:40px;\" data-animation-delay=\"350\" data-animationOffset=\"top-into-view\"><div style=\"--awb-backgroundcolor:rgba(255,255,255,0);\" class=\"fusion-column content-box-column content-box-column content-box-column-1 col-lg-12 col-md-12 col-sm-12 fusion-content-box-hover content-box-column-last content-box-column-last-in-row\"><div class=\"col content-box-wrapper content-wrapper link-area-link-icon content-icon-wrapper-yes icon-hover-animation-slide fusion-animated\" data-animationType=\"fadeInUp\" data-animationDuration=\"1\" data-animationOffset=\"top-into-view\"><div class=\"heading heading-with-icon icon-left\"><div class=\"icon\" style=\"-webkit-animation-duration: 350ms;animation-duration: 350ms;\"><span style=\"height:56px;width:56px;line-height:28px;border-color:rgba(255,255,255,0);border-width:2px;border-style:solid;background-color:rgba(255,255,255,0);box-sizing:content-box;border-radius:100%;\"><i style=\"border-color:rgba(255,255,255,0);border-width:0px;background-color:var(--awb-color4);box-sizing:content-box;height:56px;width:56px;line-height:56px;border-radius:100%;position:relative;top:auto;left:auto;margin:0;border-radius:100%;font-size:28px;\" aria-hidden=\"true\" class=\"fontawesome-icon classic-th-large-solid circle-yes\"><\/i><\/span><\/div><h2 class=\"content-box-heading fusion-responsive-typography-calculated\" style=\"--h2_typography-font-size:24px;--fontSize:24;line-height:var(--awb-typography1-line-height);\">Iterative Methods & The H2 Framework<\/h2><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\">Convergence and robustness of iterative data-based tuning such as IFT and CbT, and the unifying H2 framework presented in our Springer book.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-5 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:5.76%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:5.76%;--awb-width-medium:50%;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-content-boxes content-boxes columns row fusion-columns-1 fusion-columns-total-1 fusion-content-boxes-4 content-boxes-icon-on-top content-left fusion-delayed-animation\" style=\"--awb-title-color:var(--awb-color7);--awb-circlecolor-hover:var(--awb-color4);--awb-margin-top:10px;--awb-margin-bottom:0px;--awb-hover-accent-color:var(--awb-color4);--awb-circle-hover-accent-color:var(--awb-color4);--awb-item-margin-bottom:40px;\" data-animation-delay=\"350\" data-animationOffset=\"top-into-view\"><div style=\"--awb-backgroundcolor:rgba(255,255,255,0);--awb-circlecolor-hover:var(--awb-color4);\" class=\"fusion-column content-box-column content-box-column content-box-column-1 col-lg-12 col-md-12 col-sm-12 fusion-content-box-hover content-box-column-last content-box-column-last-in-row\"><div class=\"col content-box-wrapper content-wrapper link-area-link-icon content-icon-wrapper-yes icon-hover-animation-slide fusion-animated\" data-animationType=\"fadeInUp\" data-animationDuration=\"1\" data-animationOffset=\"top-into-view\"><div class=\"heading heading-with-icon icon-left\"><div class=\"icon\" style=\"-webkit-animation-duration: 350ms;animation-duration: 350ms;\"><span style=\"height:56px;width:56px;line-height:28px;border-color:rgba(255,255,255,0);border-width:2px;border-style:solid;background-color:rgba(255,255,255,0);box-sizing:content-box;border-radius:100%;\"><i style=\"border-color:rgba(255,255,255,0);border-width:0px;background-color:var(--awb-color4);box-sizing:content-box;height:56px;width:56px;line-height:56px;border-radius:100%;position:relative;top:auto;left:auto;margin:0;border-radius:100%;font-size:28px;\" aria-hidden=\"true\" class=\"fontawesome-icon classic-toggle-on-solid circle-yes\"><\/i><\/span><\/div><h2 class=\"content-box-heading fusion-responsive-typography-calculated\" style=\"--h2_typography-font-size:24px;--fontSize:24;line-height:var(--awb-typography1-line-height);\">System Identification<\/h2><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\">Prediction error methods, identifiability and uniqueness of the minimum, input design, regularized estimation and errors-in-variables problems.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-6 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:5.76%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:5.76%;--awb-width-medium:50%;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-content-boxes content-boxes columns row fusion-columns-1 fusion-columns-total-1 fusion-content-boxes-5 content-boxes-icon-on-top content-left fusion-delayed-animation\" style=\"--awb-title-color:var(--awb-color7);--awb-margin-top:10px;--awb-margin-bottom:0px;--awb-hover-accent-color:var(--awb-color4);--awb-circle-hover-accent-color:var(--awb-color4);--awb-item-margin-bottom:40px;\" data-animation-delay=\"350\" data-animationOffset=\"top-into-view\"><div style=\"--awb-backgroundcolor:rgba(255,255,255,0);\" class=\"fusion-column content-box-column content-box-column content-box-column-1 col-lg-12 col-md-12 col-sm-12 fusion-content-box-hover content-box-column-last content-box-column-last-in-row\"><div class=\"col content-box-wrapper content-wrapper link-area-link-icon content-icon-wrapper-yes icon-hover-animation-slide fusion-animated\" data-animationType=\"fadeInUp\" data-animationDuration=\"1\" data-animationOffset=\"top-into-view\"><div class=\"heading heading-with-icon icon-left\"><div class=\"icon\" style=\"-webkit-animation-duration: 350ms;animation-duration: 350ms;\"><span style=\"height:56px;width:56px;line-height:28px;border-color:rgba(255,255,255,0);border-width:2px;border-style:solid;background-color:rgba(255,255,255,0);box-sizing:content-box;border-radius:100%;\"><i style=\"border-color:rgba(255,255,255,0);border-width:0px;background-color:var(--awb-color4);box-sizing:content-box;height:56px;width:56px;line-height:56px;border-radius:100%;position:relative;top:auto;left:auto;margin:0;border-radius:100%;font-size:28px;\" aria-hidden=\"true\" class=\"fontawesome-icon classic-globe-solid circle-yes\"><\/i><\/span><\/div><h2 class=\"content-box-heading fusion-responsive-typography-calculated\" style=\"--h2_typography-font-size:24px;--fontSize:24;line-height:var(--awb-typography1-line-height);\">Dynamic Networks<\/h2><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\">Identifiability of dynamic networks with partial node measurements and singular noise spectra, and optimal excitation and measurement patterns.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-7 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:0px;--awb-spacing-right-large:5.76%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:5.76%;--awb-width-medium:50%;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-content-boxes content-boxes columns row fusion-columns-1 fusion-columns-total-1 fusion-content-boxes-6 content-boxes-icon-on-top content-left fusion-delayed-animation\" style=\"--awb-title-color:var(--awb-color7);--awb-circlecolor-hover:var(--awb-color4);--awb-margin-top:10px;--awb-margin-bottom:0px;--awb-hover-accent-color:var(--awb-color4);--awb-circle-hover-accent-color:var(--awb-color4);--awb-item-margin-bottom:40px;\" data-animation-delay=\"350\" data-animationOffset=\"top-into-view\"><div style=\"--awb-backgroundcolor:rgba(255,255,255,0);--awb-circlecolor-hover:var(--awb-color4);\" class=\"fusion-column content-box-column content-box-column content-box-column-1 col-lg-12 col-md-12 col-sm-12 fusion-content-box-hover content-box-column-last content-box-column-last-in-row\"><div class=\"col content-box-wrapper content-wrapper link-area-link-icon content-icon-wrapper-yes icon-hover-animation-slide fusion-animated\" data-animationType=\"fadeInUp\" data-animationDuration=\"1\" data-animationOffset=\"top-into-view\"><div class=\"heading heading-with-icon icon-left\"><div class=\"icon\" style=\"-webkit-animation-duration: 350ms;animation-duration: 350ms;\"><span style=\"height:56px;width:56px;line-height:28px;border-color:rgba(101,188,123,0);border-width:2px;border-style:solid;background-color:rgba(101,188,123,0);box-sizing:content-box;border-radius:100%;\"><i style=\"border-color:var(--awb-color1);border-width:0px;background-color:var(--awb-color4);box-sizing:content-box;height:56px;width:56px;line-height:56px;border-radius:100%;position:relative;top:auto;left:auto;margin:0;border-radius:100%;font-size:28px;\" aria-hidden=\"true\" class=\"fontawesome-icon classic-mobile-alt-solid circle-yes\"><\/i><\/span><\/div><h2 class=\"content-box-heading fusion-responsive-typography-calculated\" style=\"--h2_typography-font-size:24px;--fontSize:24;line-height:var(--awb-typography1-line-height);\">PID & Resonant Controllers<\/h2><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\">Tuning rules and the generalized forced oscillation method for PID and proportional-resonant controllers, and data-driven performance monitoring and retuning.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-3 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling fusion-animated\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-bottom:120px;--awb-margin-bottom-medium:80px;--awb-margin-bottom-small:60px;--awb-flex-wrap:wrap;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-center fusion-flex-content-wrap\" style=\"max-width:1216.8px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-8 fusion_builder_column_1_2 1_2 fusion-flex-column 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awb-button__text awb-button__text--default\">See publications<\/span><i class=\"icon-accountant-arrow awb-button__icon awb-button__icon--default button-icon-right\" aria-hidden=\"true\"><\/i><\/a><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-9 fusion_builder_column_1_2 1_2 fusion-flex-column fusion-flex-align-self-stretch fusion-animated\" style=\"--awb-padding-top:80px;--awb-padding-right:80px;--awb-padding-bottom:80px;--awb-padding-left:80px;--awb-padding-top-small:36px;--awb-padding-right-small:36px;--awb-padding-bottom-small:36px;--awb-padding-left-small:36px;--awb-bg-color:var(--awb-color8);--awb-bg-color-hover:var(--awb-color8);--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:0px;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:0px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-3\" style=\"--awb-text-color:var(--awb-color1);--awb-margin-top:10px;\"><p>Power electronics (DC\u2013DC converters and uninterruptible power supplies), power systems (wide-area damping controllers), industrial wireless networks (WirelessHART), multivariable process control on pilot plants, bioreactors and epidemic models.<\/p>\n<\/div><div class=\"fusion-separator fusion-no-small-visibility fusion-no-medium-visibility fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;flex-grow:1;margin-top:10%;margin-bottom:10%;width:100%;\"><div class=\"fusion-separator-border sep-double\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-color3);border-color:var(--awb-color3);border-top-width:0px;border-bottom-width:0px;\"><\/div><\/div><div class=\"fusion-text fusion-text-4 fusion-text-no-margin\" style=\"--awb-font-size:20px;--awb-text-color:var(--awb-color4);--awb-margin-bottom:0px;\"><p>Experiments on real plants<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-4 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling fusion-animated\" style=\"--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-border-sizes-left:0px;--awb-border-sizes-right:0px;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-bottom:100px;--awb-margin-bottom-medium:80px;--awb-margin-bottom-small:60px;--awb-flex-wrap:wrap;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-center fusion-flex-content-wrap\" style=\"max-width:calc( 1170px + 120px );margin-left: calc(-120px \/ 2 );margin-right: calc(-120px \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-10 fusion_builder_column_1_2 1_2 fusion-flex-column fusion-flex-align-self-stretch fusion-animated\" style=\"--awb-padding-top:70px;--awb-padding-right:70px;--awb-padding-bottom:70px;--awb-padding-left:70px;--awb-padding-top-small:36px;--awb-padding-right-small:36px;--awb-padding-bottom-small:36px;--awb-padding-left-small:36px;--awb-bg-color:var(--awb-color4);--awb-bg-color-hover:var(--awb-color4);--awb-bg-image:linear-gradient(180deg, hsla(var(--awb-color4-h),var(--awb-color4-s),var(--awb-color4-l),calc( var(--awb-color4-a) - 29% )) 0%,var(--awb-color4) 100%);;--awb-bg-position:left center;--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:0px;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:45px;--awb-spacing-left-medium:45px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:60px;--awb-margin-bottom-small:0px;--awb-spacing-left-small:60px;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper lazyload fusion-column-has-shadow fusion-flex-justify-content-space-between fusion-content-layout-column fusion-column-has-bg-image\" data-bg-url=\"https:\/\/www.datadrivencontrol.com\/wp-content\/uploads\/2021\/11\/banner-03.jpg\" data-bg=\"https:\/\/www.datadrivencontrol.com\/wp-content\/uploads\/2021\/11\/banner-03.jpg\" data-bg-gradient=\"linear-gradient(180deg, hsla(var(--awb-color4-h),var(--awb-color4-s),var(--awb-color4-l),calc( var(--awb-color4-a) - 29% )) 0%,var(--awb-color4) 100%)\"><div class=\"fusion-title title fusion-title-3 fusion-title-text fusion-title-size-two\" style=\"--awb-text-color:var(--awb-color1);--awb-margin-bottom:0px;--awb-margin-top-small:0px;--awb-margin-bottom-small:20px;--awb-margin-bottom-medium:50px;--awb-font-size:36px;\"><div class=\"title-sep-container title-sep-container-left fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><div class=\"title-sep sep- sep-solid\" style=\"border-color:var(--awb-color3);\"><\/div><\/div><span class=\"awb-title-spacer fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><\/span><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;text-transform:capitalize;font-size:1em;--fontSize:36;line-height:1.39;\">pyvrft<\/h2><span class=\"awb-title-spacer\"><\/span><div class=\"title-sep-container title-sep-container-right\"><div class=\"title-sep sep- sep-solid\" style=\"border-color:var(--awb-color3);\"><\/div><\/div><\/div><div ><a class=\"fusion-button button-flat fusion-button-default-size button-custom fusion-button-default button-2 fusion-button-span-yes \" style=\"--awb-margin-right:20px;--awb-margin-bottom:0px;--awb-padding-top:28px;--awb-padding-right:35px;--awb-padding-bottom:28px;--awb-padding-left:35px;--button_accent_color:var(--awb-color8);--button_accent_hover_color:var(--awb-color1);--button_border_hover_color:var(--awb-color1);--button_border_width-top:0px;--button_border_width-right:0px;--button_border_width-bottom:0px;--button_border_width-left:0px;--button-border-radius-top-left:0;--button-border-radius-top-right:0;--button-border-radius-bottom-right:0;--button-border-radius-bottom-left:0;--button_gradient_top_color:var(--awb-color1);--button_gradient_bottom_color:var(--awb-color1);--button_gradient_top_color_hover:var(--awb-color8);--button_gradient_bottom_color_hover:var(--awb-color8);--button_text_transform:none;--button_font_size:20px;--button_line_height:18px;--button_typography-letter-spacing:0px;\" target=\"_self\" href=\"https:\/\/doi.org\/10.1016\/j.softx.2019.100383\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">Read the paper<\/span><i class=\"icon-accountant-arrow awb-button__icon awb-button__icon--default button-icon-right\" aria-hidden=\"true\"><\/i><\/a><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-11 fusion_builder_column_1_2 1_2 fusion-flex-column fusion-flex-align-self-stretch fusion-animated\" style=\"--awb-padding-top:80px;--awb-padding-right:80px;--awb-padding-bottom:80px;--awb-padding-left:80px;--awb-padding-top-small:36px;--awb-padding-right-small:36px;--awb-padding-bottom-small:36px;--awb-padding-left-small:36px;--awb-bg-color:var(--awb-color8);--awb-bg-color-hover:var(--awb-color8);--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:0px;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:45px;--awb-spacing-left-medium:45px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:60px;--awb-spacing-left-small:60px;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-5\" style=\"--awb-text-color:var(--awb-color1);--awb-margin-top:10px;\"><p>An open-source Python package for Virtual Reference Feedback Tuning, by E. Boeira and D. Eckhard, published in SoftwareX (2020).<\/p>\n<\/div><div class=\"fusion-separator fusion-no-small-visibility fusion-no-medium-visibility fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;flex-grow:1;margin-top:10%;margin-bottom:10%;width:100%;\"><div class=\"fusion-separator-border sep-double\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-color3);border-color:var(--awb-color3);border-top-width:0px;border-bottom-width:0px;\"><\/div><\/div><div class=\"fusion-text fusion-text-6 fusion-text-no-margin\" style=\"--awb-font-size:20px;--awb-line-height:1.65;--awb-letter-spacing:0px;--awb-text-color:var(--awb-color4);--awb-margin-bottom:0px;\"><p>Python \u00b7 Open source<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-5 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling fusion-animated\" style=\"--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-border-sizes-left:0px;--awb-border-sizes-right:0px;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-bottom:120px;--awb-margin-bottom-medium:80px;--awb-margin-bottom-small:60px;--awb-flex-wrap:wrap;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-center fusion-flex-content-wrap\" style=\"max-width:calc( 1170px + 120px );margin-left: calc(-120px \/ 2 );margin-right: calc(-120px \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-12 fusion_builder_column_1_2 1_2 fusion-flex-column fusion-flex-align-self-stretch fusion-animated\" style=\"--awb-padding-top:70px;--awb-padding-right:70px;--awb-padding-bottom:70px;--awb-padding-left:70px;--awb-padding-top-small:36px;--awb-padding-right-small:36px;--awb-padding-bottom-small:36px;--awb-padding-left-small:36px;--awb-bg-color:var(--awb-color4);--awb-bg-color-hover:var(--awb-color4);--awb-bg-image:linear-gradient(180deg, hsla(var(--awb-color4-h),var(--awb-color4-s),var(--awb-color4-l),calc( var(--awb-color4-a) - 29% )) 0%,var(--awb-color4) 100%);;--awb-bg-position:left center;--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:0px;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:45px;--awb-spacing-left-medium:45px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:60px;--awb-margin-bottom-small:0px;--awb-spacing-left-small:60px;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper lazyload fusion-column-has-shadow fusion-flex-justify-content-space-between fusion-content-layout-column fusion-column-has-bg-image\" data-bg-url=\"https:\/\/www.datadrivencontrol.com\/wp-content\/uploads\/2021\/11\/31.jpg\" data-bg=\"https:\/\/www.datadrivencontrol.com\/wp-content\/uploads\/2021\/11\/31.jpg\" data-bg-gradient=\"linear-gradient(180deg, hsla(var(--awb-color4-h),var(--awb-color4-s),var(--awb-color4-l),calc( var(--awb-color4-a) - 29% )) 0%,var(--awb-color4) 100%)\"><div class=\"fusion-title title fusion-title-4 fusion-title-text fusion-title-size-two\" style=\"--awb-text-color:var(--awb-color1);--awb-margin-bottom:0px;--awb-margin-top-small:0px;--awb-margin-bottom-small:20px;--awb-margin-bottom-medium:50px;--awb-font-size:36px;\"><div class=\"title-sep-container title-sep-container-left fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><div class=\"title-sep sep- sep-solid\" style=\"border-color:var(--awb-color3);\"><\/div><\/div><span class=\"awb-title-spacer fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><\/span><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;text-transform:capitalize;font-size:1em;--fontSize:36;line-height:1.39;\">Data-driven Controller Design: The H<sub>2<\/sub> Approach<\/h2><span class=\"awb-title-spacer\"><\/span><div class=\"title-sep-container title-sep-container-right\"><div class=\"title-sep sep- sep-solid\" style=\"border-color:var(--awb-color3);\"><\/div><\/div><\/div><div ><a class=\"fusion-button button-flat fusion-button-default-size button-custom fusion-button-default button-3 fusion-button-span-yes \" style=\"--awb-margin-right:20px;--awb-margin-bottom:0px;--awb-padding-top:28px;--awb-padding-right:35px;--awb-padding-bottom:28px;--awb-padding-left:35px;--button_accent_color:var(--awb-color8);--button_accent_hover_color:var(--awb-color1);--button_border_hover_color:var(--awb-color1);--button_border_width-top:0px;--button_border_width-right:0px;--button_border_width-bottom:0px;--button_border_width-left:0px;--button-border-radius-top-left:0;--button-border-radius-top-right:0;--button-border-radius-bottom-right:0;--button-border-radius-bottom-left:0;--button_gradient_top_color:var(--awb-color1);--button_gradient_bottom_color:var(--awb-color1);--button_gradient_top_color_hover:var(--awb-color8);--button_gradient_bottom_color_hover:var(--awb-color8);--button_text_transform:none;--button_font_size:20px;--button_line_height:18px;--button_typography-letter-spacing:0px;\" target=\"_self\" href=\"https:\/\/doi.org\/10.1007\/978-94-007-2300-9\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">View on Springer<\/span><i class=\"icon-accountant-arrow awb-button__icon awb-button__icon--default button-icon-right\" aria-hidden=\"true\"><\/i><\/a><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-13 fusion_builder_column_1_2 1_2 fusion-flex-column fusion-flex-align-self-stretch fusion-animated\" style=\"--awb-padding-top:80px;--awb-padding-right:80px;--awb-padding-bottom:80px;--awb-padding-left:80px;--awb-padding-top-small:36px;--awb-padding-right-small:36px;--awb-padding-bottom-small:36px;--awb-padding-left-small:36px;--awb-bg-color:var(--awb-color8);--awb-bg-color-hover:var(--awb-color8);--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:0px;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-order-medium:1;--awb-spacing-right-medium:45px;--awb-spacing-left-medium:45px;--awb-width-small:100%;--awb-order-small:1;--awb-spacing-right-small:60px;--awb-spacing-left-small:60px;\" data-animationType=\"fadeInUp\" data-animationDuration=\"1.3\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-7\" style=\"--awb-text-color:var(--awb-color1);--awb-margin-top:10px;\"><p>A. S. Bazanella, L. Campestrini and D. Eckhard. A comprehensive theoretical treatment of the H2 approach to data-driven control design, with practical designs for thermal, fluid processing and electromechanical processes.<\/p>\n<\/div><div class=\"fusion-separator fusion-no-small-visibility fusion-no-medium-visibility fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;flex-grow:1;margin-top:10%;margin-bottom:10%;width:100%;\"><div class=\"fusion-separator-border sep-double\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:var(--awb-color3);border-color:var(--awb-color3);border-top-width:0px;border-bottom-width:0px;\"><\/div><\/div><div class=\"fusion-text fusion-text-8 fusion-text-no-margin\" style=\"--awb-font-size:20px;--awb-line-height:1.65;--awb-letter-spacing:0px;--awb-text-color:var(--awb-color4);--awb-margin-bottom:0px;\"><p>Springer, 2012<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":4963,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"100-width.php","meta":{"footnotes":""},"class_list":["post-4688","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=\/wp\/v2\/pages\/4688","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4688"}],"version-history":[{"count":1,"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=\/wp\/v2\/pages\/4688\/revisions"}],"predecessor-version":[{"id":5318,"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=\/wp\/v2\/pages\/4688\/revisions\/5318"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=\/wp\/v2\/media\/4963"}],"wp:attachment":[{"href":"https:\/\/www.datadrivencontrol.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4688"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}