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        "rendered": "Model Predictive Control"
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        "rendered": "<div data-elementor-type=\"wp-post\" data-elementor-id=\"216\" class=\"elementor elementor-216\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-bdfbff0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"bdfbff0\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c1f5f1d\" data-id=\"c1f5f1d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c0e1637 elementor-widget elementor-widget-page-title\" data-id=\"c0e1637\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;align&quot;:&quot;left&quot;}\" data-widget_type=\"page-title.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\n\t\t<div class=\"hfe-page-title hfe-page-title-wrapper elementor-widget-heading\">\n\n\t\t\t\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\n\t\t\t\t\t\t\t\t\n\t\t\t\tModel Predictive Control  \n\t\t\t<\/h2> \n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-44fc53f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"44fc53f\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-583c2be\" data-id=\"583c2be\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-451f921 elementor-widget elementor-widget-text-editor\" data-id=\"451f921\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>MPC is a powerful approach to cope with system constraints while optimizing a desired performance criterion, by embedding a finite-horizon, constrained optimal control problem in the controller. This control technique allows one to take into account multiple inputs and outputs, nonlinear dynamics, safety constraints, and various performance indicators in a rather intuitive way.\u00a0<\/p><p>As a matter of fact, MPC is probably the most powerful and general advanced control approach that exists nowadays. Its main drawbacks are related to the need to solve a -possibly very complex- numerical optimization problem on-line.<\/p><p>In the field of MPC, the laboratory carries out theoretical research in the following directions:<\/p><ul><li><span style=\"word-spacing: normal;\">Model predictive control for autonomous and hybrid systems, trading off exploitation, exploration, and safety requirements;<\/span><\/li><li>Model identification for predictive control, deriving uncertainty descriptions that are suitable for MPC;<\/li><li>Adaptive model predictive control, by combining set membership identification techniques with MPC;<\/li><li>Stochastic model predictive control, using scenario optimization results;<\/li><li>Efficient computation in MPC, either with off-line methods (function approximation, learning) or with on-line ones (efficient tree search)<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b815e54\" data-id=\"b815e54\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d0cd642 elementor-widget elementor-widget-spacer\" data-id=\"d0cd642\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-91ba6ce elementor-widget elementor-widget-image\" data-id=\"91ba6ce\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"609\" height=\"573\" src=\"https:\/\/www.sas-lab.deib.polimi.it\/wp-content\/uploads\/2021\/11\/multi-traj.png\" class=\"attachment-large size-large wp-image-413\" alt=\"\" srcset=\"https:\/\/www.sas-lab.deib.polimi.it\/wp-content\/uploads\/2021\/11\/multi-traj.png 609w, https:\/\/www.sas-lab.deib.polimi.it\/wp-content\/uploads\/2021\/11\/multi-traj-300x282.png 300w\" sizes=\"(max-width: 609px) 100vw, 609px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>",
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        "rendered": "<p>Advanced optimization-based control strategies<\/p>\n<p> <a class=\"more-link\" href=\"https:\/\/www.sas-lab.deib.polimi.it\/it\/?p=216\">Read more<\/a><\/p>",
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