{"id":6321,"date":"2020-03-04T01:28:09","date_gmt":"2020-03-04T04:28:09","guid":{"rendered":"https:\/\/servidor01.lee.uerj.br\/wordpress\/?page_id=6321"},"modified":"2022-11-03T16:43:01","modified_gmt":"2022-11-03T19:43:01","slug":"andrey-polyakov","status":"publish","type":"page","link":"http:\/\/www.lee.uerj.br\/vss2022\/andrey-polyakov\/","title":{"rendered":"Andrey Polyakov"},"content":{"rendered":"<p><strong>Abstract:<\/strong> Homogeneity is a certain invariance of an object (a function, a set, a figure, etc) with respect to a class of transformations called dilations. All linear and a lot of essentially nonlinear models of mathematical physics are homogeneous (symmetric) in some sense. Homogeneous control laws appear as solutions of many control problems such as a minimum time feedback control for the chain of integrators or the high-order sliding mode design. Similarly to the linear case, an asymptotic stability of a homogeneous system implies its robustness (input-to-state stability) with respect to a certain class of parametric uncertainties and exogenous perturbations. In this talk we deal with the so-called linear geometric homogeneity, which allows many methods of linear control theory to be utilized for a non-linear control design. We study the problem of generalized homogeneous stabilization via sliding modes for linear and nonlinear plants and present a scheme for an &#8220;upgrade&#8221; of an exiting linear feedback to a generalized homogeneous sliding mode controller. The theoretical results are supported by real experiments.<\/p>\n<p><strong>Bio:<\/strong> Andrey Polyakov received PhD in systems analysis and control from Voronezh State University in 2005. From 2004 to 2010 he was a lecturer and, next, an associate professor with this university. In 2007 and 2008, he was working for the CINVESTAV center in Mexico. From 2010 up to 2013 he was a lead researcher of the Institute of Control Sciences of Russian Academy of Sciences. In 2013 he joined Inria in Lille, France. He is a co-author of more than 150 publications in control theory (including the books &#8220;Attractive Ellipsoids in Robust Control&#8221;, &#8220;Road Map for Sliding Mode Control Design&#8221;, &#8220;Generalized Homogeneity in Systems and Control&#8221;). His research interests include different aspects of nonlinear control and estimation theory such as finite-time\/fixed-time stability, sliding modes, generalized homogeneity and Lyapunov methods for finite dimensional and infinite dimensional systems.<\/p>\n<p><a href=\"http:\/\/www.lee.uerj.br\/vss2022\/wp-content\/uploads\/2022\/11\/VSS_2022_Plenary_Andrey.pdf\">VSS_2022_Plenary_Andrey<\/a><\/p>\n<a href=\"http:\/\/www.lee.uerj.br\/vss2022\/wp-content\/uploads\/2022\/11\/VSS_2022_Plenary_Andrey.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\"  data-toolbar=\"bottom\" data-toolbar-fixed=\"on\">VSS_2022_Plenary_Andrey<br\/><\/a>\n","protected":false},"excerpt":{"rendered":"<p>Abstract: Homogeneity is a certain invariance of an object (a function, a set, a figure, etc) with respect to a class of transformations called dilations. All<span class=\"excerpt-hellip\"> [?]<\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/www.lee.uerj.br\/vss2022\/wp-json\/wp\/v2\/pages\/6321"}],"collection":[{"href":"http:\/\/www.lee.uerj.br\/vss2022\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.lee.uerj.br\/vss2022\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.lee.uerj.br\/vss2022\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.lee.uerj.br\/vss2022\/wp-json\/wp\/v2\/comments?post=6321"}],"version-history":[{"count":0,"href":"http:\/\/www.lee.uerj.br\/vss2022\/wp-json\/wp\/v2\/pages\/6321\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.lee.uerj.br\/vss2022\/wp-json\/wp\/v2\/media?parent=6321"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}