Defesa P\u00fablica da Disserta\u00e7\u00e3o de Mestrado do Engenheiro de Controle e Automa\u00e7\u00e3o Leonardo Cabral<\/p>\n\n\n\n
Data: 24\/09\/2021 – sexta-feira
Hor\u00e1rio: 09h30min<\/p>\n\n\n\n
A defesa ser\u00e1 realizada atrav\u00e9s de videoconfer\u00eancia na plataforma Teams, pelo link: Banca Examinadora: T\u00edtulo da disserta\u00e7\u00e3o: “STABILITY ANALYSIS AND STABILIZATION OF DISCRETE-TIME PIECEWISE AFFINE SYSTEMS “<\/p>\n\n\n\n Resumo: Keywords: Piecewise affine systems, stability and stabilization, piecewise quadratic Lyapunov functions, semidefinite programming.”<\/p>\n","protected":false},"excerpt":{"rendered":" Defesa P\u00fablica da Disserta\u00e7\u00e3o de Mestrado do Engenheiro de Controle e Automa\u00e7\u00e3o Leonardo Cabral Data: 24\/09\/2021 – sexta-feiraHor\u00e1rio: 09h30min A defesa ser\u00e1 realizada atrav\u00e9s de videoconfer\u00eancia na plataforma Teams, pelo link:https:\/\/teams.microsoft.com\/l\/meetup-join\/19:iTXf6eRaJOMFYDOHukxZt1e0QzUqu64nCMMWuOkvJSA1@thread.tacv2\/1632242593418?context=%7B%22Tid%22:%22b34c1d55-a43e-4a20-9218-a1a42eab149a%22,%22Oid%22:%2237cbe99c-37fd-465c-906e-64406dda7cf0%22%7D Banca Examinadora:Prof. Dr. Eug\u00eanio de Bona Castelan Neto – PPGEAS – UFSCProfa. Dra. Luc\u00edola Campestrini – PPGEE \u2013 UFRGSProf. Dr. Aurelio Tergolina Salton –… Continue a ler »Defesa de Disserta\u00e7\u00e3o de Mestrado – Leonardo Cabral<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","footnotes":""},"categories":[4],"tags":[],"class_list":["post-574","post","type-post","status-publish","format-standard","hentry","category-eventos"],"_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/posts\/574","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/comments?post=574"}],"version-history":[{"count":0,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/posts\/574\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/media?parent=574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/categories?post=574"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/tags?post=574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
https:\/\/teams.microsoft.com\/l\/meetup-join\/19:iTXf6eRaJOMFYDOHukxZt1e0QzUqu64nCMMWuOkvJSA1@thread.tacv2\/1632242593418?context=%7B%22Tid%22:%22b34c1d55-a43e-4a20-9218-a1a42eab149a%22,%22Oid%22:%2237cbe99c-37fd-465c-906e-64406dda7cf0%22%7D<\/a><\/p>\n\n\n\n
Prof. Dr. Eug\u00eanio de Bona Castelan Neto – PPGEAS – UFSC
Profa. Dra. Luc\u00edola Campestrini – PPGEE \u2013 UFRGS
Prof. Dr. Aurelio Tergolina Salton – PPGEE – UFRGS
Presidente da banca\/Orientador: Prof. Dr. Jo\u00e3o Manoel Gomes da Silva Junior – PPGEE – UFRGS<\/p>\n\n\n\n
“This work addresses the problems of global stabilization and local stability analysis of discrete-time piecewise affine (PWA) systems.
To tackle the global stabilization problem, this work considers a PWA state feedback control law, a recently proposed implicit PWA representation and piecewise quadratic (PWQ) Lyapunov candidate functions. Through Finsler\u2019s Lemma, congruence transfor- mations and some structural assumptions, quasi-LMI sufficient conditions to ensure the global exponential stability of the origin of the closed-loop PWA system are derived from the stability conditions. An algorithm is proposed to solve the quasi-LMI conditions and compute the stabilizing gains.
Regarding the problem of local stability analysis, this work proposes a method to test the local nonnegativity of PWQ functions using the implicit representation. This method is used to assess the local stability of the origin of PWA systems by considering PWQ Lyapunov candidate functions. Estimates of the Region of Attraction of the Origin (RAO) are obtained as level sets of the Lyapunov function. Approaches to obtain maximized estimates of the RAO are therefore discussed.<\/p>\n\n\n\n