{"id":49324,"date":"2021-11-04T09:57:36","date_gmt":"2021-11-04T15:57:36","guid":{"rendered":"https:\/\/live-uw-engineering.pantheonsite.io\/?page_id=49324"},"modified":"2024-05-10T10:25:21","modified_gmt":"2024-05-10T15:25:21","slug":"optimization-and-control","status":"publish","type":"page","link":"https:\/\/engineering.wisc.edu\/departments\/electrical-computer-engineering\/research\/optimization-and-control\/","title":{"rendered":"Optimization and Control"},"content":{"rendered":"<div class=\"acf-hero block_571c5ca74921e577758af0bc19972cb5 position-relative alignfull track-hero alignfull mb-5   sticky-top\" >\r\n\r\n    <div class=\"hero-container d-flex bg-pattern-secondary hero-spacing-medium has-navigation\" >\r\n        <div class=\"container-xxl  d-flex flex-column flex-lg-row justify-content-center justify-content-lg-between align-items-start align-items-lg-center\">\r\n                            <div class=\"hero-heading text-white text-left\">\r\n                    <h1 class=\"text-white fw-bold m-0 h1\"><span class=\"micro-title text-uppercase d-block\">Electrical &amp; Computer Engineering<\/span> Research<\/h1>\r\n                <\/div>\r\n                        \r\n                        <\/div>    <\/div>\r\n\r\n\r\n            <div class=\"container-xxl navigation ms-auto\">\r\n            \r\n                                <div id=\"menuStrip\">\r\n    <nav class=\" navbar navbar-expand navbar-light rounded container-xxl\">\r\n        <div class=\"d-flex align-items-center flex-grow-1\">\r\n            <ul role=\"menu\" id=\"parent-nav\" class=\"navbar-nav d-flex align-items-center w-100 \"><li itemscope=\"itemscope\" itemtype=\"https:\/\/www.schema.org\/SiteNavigationElement\" id=\"menu-item-46901\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-46901 nav-item\" role=\"menuitem\"><a title=\"Overview of Electrical &#038; Computer Engineering\" href=\"https:\/\/engineering.wisc.edu\/departments\/electrical-computer-engineering\/\" class=\"nav-link\">Overview<\/a><\/li>\n<li itemscope=\"itemscope\" itemtype=\"https:\/\/www.schema.org\/SiteNavigationElement\" id=\"menu-item-50108\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-50108 nav-item\" role=\"menuitem\"><a title=\"Degrees &#038; 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Computer Engineering\" href=\"https:\/\/engineering.wisc.edu\/departments\/electrical-computer-engineering\/about\/\" class=\"nav-link\">About<\/a><\/li>\n<\/ul>            <ul id=\"hidden-nav\" class=\"invisible\"><\/ul>\r\n            <button class=\"btn-more\" aria-label=\"Open Section Navigation\">\r\n                <div><\/div>\r\n            <\/button>\r\n            <div id=\"cta\" class=\"ms-auto\">\r\n            <\/div>\r\n        <\/div>\r\n    <\/nav>\r\n        <\/div>\r\n                    <\/div>\r\n    \r\n<\/div>\r\n\r\n    <script>\r\n        (function($) {\r\n            const stickyhero_containers = document.querySelectorAll('.sticky-top');\r\n            const stickyhero_observer_options = {\r\n                root: null,\r\n                rootMargin: '0px 0px -100% 0px',\r\n                threshold: 0\r\n            };\r\n            const stickyhero_observer = new IntersectionObserver(stickyhero_observer_callback, stickyhero_observer_options);\r\n\r\n            stickyhero_containers.forEach(element => {\r\n                stickyhero_observer.observe(element);\r\n            });\r\n\r\n            function stickyhero_observer_callback(entries, observer) {\r\n                entries.forEach(entry => {\r\n                    entry.target.classList.toggle('active', entry.isIntersecting);\r\n                });\r\n            }\r\n        })(jQuery);\r\n    <\/script>\r\n\n\n<div class=\"acf-card-horizontal block_1eb5a78aed6371a1db038025308d1d18 position-relative track-card-horizontal my-5\" >\r\n    \r\n        \r\n\r\n        \r\n                                                                    <div class=\"card border-0 img-right\">\r\n                                <div class=\"row g-0\">\r\n                                    <div class=\"d-flex align-items-start col-lg-6 order-1 order-lg-3\">\r\n                                                                                    <div class=\"ratio ratio-16x9\">\r\n                                                                                                    <img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/07\/OC-image-with-x-and-y-1024x576.webp\" class=\"card-img not-transparent\" alt=\"ECE - 3D image of Optimization and Control model. Grey 3D grid holds blue rectangular shape with yellow center line\" srcset=\"https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/07\/OC-image-with-x-and-y-1024x576.webp 1024w, https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/07\/OC-image-with-x-and-y-512x288.webp 512w, https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/07\/OC-image-with-x-and-y-768x432.webp 768w, https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/07\/OC-image-with-x-and-y-1536x864.webp 1536w, https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/07\/OC-image-with-x-and-y-jpg-webp.webp 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" data-has-transparency=\"false\" data-dominant-color=\"d8e1e8\" style=\"--dominant-color: #d8e1e8;\" \/>                                                                                                                                                                                            <\/div>\r\n                                        \r\n                                    <\/div>\r\n                                    <div class=\"col-lg-6 order-2 order-lg-2 d-flex align-items-center\">\r\n                                        <div class=\"card-body px-lg-4\">\r\n                                                                                        <h2 class=\"card-title my-3 h2\">Optimization and control<\/h2>                                                                                                    <div class=\"card-text\"><p>Optimization is about finding the best possible solution, given a set of resource constraints. For example, optimization is needed to find the least crowded path for a message as it travels between distant locations, to find the least-energy solution to move a spacecraft into orbit, or to find the most efficient computation graph for a GPU. Control is about using feedback from sensors or other sources to estimate the state of a system and ensure that it performs well in the presence of uncertainty. For example, feedback control is needed to minimize the risk of collapse of the power grid when it is subjected to constantly changing user demand, or to ensure the safe and efficient operation of an electric vehicle\u2019s battery and motor systems under varying environmental conditions and driver demands. ECE researchers apply mathematical reasoning, statistical tools, simulation methods and computational technologies to solve problems throughout engineering and the sciences. We study the methods and algorithms that underlie these procedures in order to optimize and control modern engineered systems.<\/p>\n<\/div>                                                                                            <\/div>\r\n                                    <\/div>\r\n                                <\/div>\r\n                            <\/div>\r\n                                                                                \r\n        <\/div>\r\n\r\n\n\n\n<h3 class=\"wp-block-heading\">Faculty<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Arvelo_Eduardo\/\">Eduardo Arvelo<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Coulson_Jeremy\/\" target=\"_blank\" rel=\"noreferrer noopener\">Jeremy Coulson<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Chrysos_Grigorios\/\">Grigoris Chrysos<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Gross_Dominic\/\">Dominic Gross<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Vinayak_Ramya\/\">Ramya Korlakai Vinayak<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Lee_Kangwook\/\" target=\"_blank\" rel=\"noreferrer noopener\">Kangwook Lee<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Lesieutre_Bernard\/\">Bernard Lesieutre<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Milenkovic_Paul\/\">Paul Milenkovic<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Nowak_Robert\/\">Robert Nowak<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Papailiopoulos-_Dimitris\/\">Dimitris Papailiopoulos<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Roald_Line\/\">Line Roald<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Sethares_William\/\">Bill Sethares<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/ece\/Faculty\/Singh_Manish\/\" target=\"_blank\" rel=\"noreferrer noopener\">Manish Singh<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/directory.engr.wisc.edu\/me\/Faculty\/Zhou_Lei\/\" target=\"_blank\" rel=\"noreferrer noopener\">Lei Zhou<\/a><\/li>\n<\/ul>\n\n\n<div class=\"acf-video-inline block_9be311a5a468a80790b1a065b08013bc position-relative bg-dark track-video-inline alignfull my-5 py-5\"  style=\"background-image: url(https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2024\/05\/Dominic-Gross-Thumbnail-jpg-e1715354691107.webp);background-position: center;\" >\r\n    <div class=\"container-xxl\">\r\n        <div class=\"collapse show collapse_block_9be311a5a468a80790b1a065b08013bc\" id=\"collapse_block_9be311a5a468a80790b1a065b08013bc\">\r\n            <div class=\"d-flex flex-column flex-md-row justify-content-center align-items-center col-12 col-lg-9 mx-auto p-5 my-lg-5\">\r\n                <div class=\"text-center text-md-end \">\r\n                    <h2 class=\"h2 text-white\">Focus on Faculty &#8211; Dominic Gross<\/h2>                <\/div>\r\n                                    <div class=\"col\">\r\n                        <a id=\"show_video-block_9be311a5a468a80790b1a065b08013bc\" class=\"text-white stretched-link display-1 ps-md-5\" role=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\".collapse_block_9be311a5a468a80790b1a065b08013bc\" aria-expanded=\"false\" aria-controls=\"collapse_block_9be311a5a468a80790b1a065b08013bc\">\r\n                            <img decoding=\"async\" src=\"https:\/\/engineering.wisc.edu\/wp-content\/themes\/coe\/assets\/dist\/img\/icons\/play-circle.svg\" width=\"116\" height=\"116\" alt=\"show video\" loading=\"lazy\" \/>\r\n                        <\/a>\r\n                    <\/div>\r\n                            <\/div>\r\n        <\/div>\r\n        <div class=\"collapse video-wrapper container flex-column collapse_block_9be311a5a468a80790b1a065b08013bc\" id=\"collapse_video_block_9be311a5a468a80790b1a065b08013bc\">\r\n            <div class=\"p-2 p-lg-5\">\r\n                <div class=\"d-flex justify-content-end\">\r\n                    <a class=\"text-white d-block text-right fs-4 align-self-end\" role=\"button\" data-bs-toggle=\"collapse\" data-bs-target=\".collapse_block_9be311a5a468a80790b1a065b08013bc\" aria-expanded=\"false\" aria-controls=\"collapse_block_9be311a5a468a80790b1a065b08013bc\">\r\n                        <i class=\"far fa-window-close\" aria-hidden=\"true\"><\/i><span class=\"visually-hidden\">Close Video<\/span>\r\n                    <\/a>\r\n                <\/div>\r\n                <div class=\"ratio ratio-16x9\">\r\n                                            <lite-youtube videoid=\"HcrrqV-El8Q\" params=\"enablejsapi=1\" posterloading=\"lazy\"><\/lite-youtube>\r\n                                    <\/div>\r\n            <\/div>\r\n        <\/div>\r\n\r\n                <\/div>                <script type=\"application\/ld+json\">\r\n                {\n    \"@context\": \"https:\/\/schema.org\",\n    \"@type\": \"VideoObject\",\n    \"name\": \"Professor Dominic Gross - Department of Electrical and Computer Engineering at UW\\u2013Madison\",\n    \"description\": \"Meet Assistant Professor Dominic Gross, an instructor and award-winning researcher within the Department of Electrical and Computer Engineering (ECE) at the University of Wisconsin\\u2013Madison. Gross\\u2019 research within the areas of Optimization and Control as well as Energy Systems is focused on grid stability and control as the world shifts to renewable energy generation. As a faculty member of WISPO \\u2013 Wisconsin Power Systems he works with other ECE faculty members, and graduate and undergraduate students to research electric power systems monitoring, optimization and control.\\n\\nIn this short video profile, hear Gross talk about his research and how ECE at UW\\u2013Madison is a draw for students interested in power electronics and sustainability.\",\n    \"thumbnailUrl\": \"https:\/\/i.ytimg.com\/vi\/HcrrqV-El8Q\/default.jpg\",\n    \"uploadDate\": \"2024-05-10T13:38:24+00:00\",\n    \"duration\": \"PT1M31S\",\n    \"contentUrl\": \"https:\/\/www.youtube.com\/watch?v=HcrrqV-El8Q\",\n    \"embedUrl\": \"https:\/\/www.youtube.com\/embed\/HcrrqV-El8Q\"\n}            <\/script>\r\n    <\/div>\r\n\r\n<script>\r\n    if (typeof YT !== 'function') {\r\n        const tag = document.createElement('script');\r\n        tag.id = 'youtube-iframe';\r\n        tag.src = 'https:\/\/www.youtube.com\/iframe_api';\r\n        const firstScriptTag = 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                       <div class=\"card border-0 img-left\">\r\n                                <div class=\"row g-0\">\r\n                                    <div class=\"d-flex align-items-start col-lg-6 order-1\">\r\n                                                                                    <div class=\"ratio ratio-16x9\">\r\n                                                                                                    <img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/10\/4-1024x576.webp\" class=\"card-img not-transparent\" alt=\"ECE PhD student Prajwal Bhagwat and Professor Gross are discussing the fault-response of a grid-connected power converter in power systems with significant share of renewable generation and power electronics.\" srcset=\"https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/10\/4-1024x576.webp 1024w, https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/10\/4-512x288.webp 512w, https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/10\/4-768x432.webp 768w, https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/10\/4-1536x864.webp 1536w, https:\/\/engineering.wisc.edu\/wp-content\/uploads\/2022\/10\/4-jpg-webp.webp 2016w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" data-has-transparency=\"false\" data-dominant-color=\"b6aba6\" style=\"--dominant-color: #b6aba6;\" \/>                                                                                                                                                                                            <\/div>\r\n                                        \r\n                                    <\/div>\r\n                                    <div class=\"col-lg-6 order-2 order-lg-2 d-flex align-items-center\">\r\n                                        <div class=\"card-body px-lg-4\">\r\n                                                                                        <h2 class=\"card-title my-3 h2\">Exploring the best path<\/h2>                                                                                                    <div class=\"card-text\"><p>ECE PhD student Prajwal Bhagwat and Professor Gross are discussing the fault-response of a grid-connected power converter in power systems with significant share of renewable generation and power electronics.<\/p>\n<\/div>                                                                                            <\/div>\r\n                                    <\/div>\r\n                                <\/div>\r\n                            <\/div>\r\n                                                                                \r\n        <\/div>\r\n\r\n","protected":false},"excerpt":{"rendered":"<p>Faculty Research labs and 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