State and dynamic output feedback control of switched linear systems via a mixed time and state-dependent switching law

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• 作者：Ding Zhai ; An-Yang Lu ; Jing-Hao Li ; Qing-Ling Zhang ; ^{qlzhang@mail.neu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Switched systems ; Robust control ; Average dwell time ; Lyapunov&ndash ; Metzler inequality ; Discretized Lyapunov function
• 刊名：Nonlinear Analysis: Hybrid Systems
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：22
• 期：Complete
• 页码：228-248
• 全文大小：796 K

文摘

This paper investigates the problem of robust control for switched linear systems with dwell-time constraint. First, a mixed time-dependent and state-dependent switching law is proposed. The stability analysis and weighted class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1751570X1630022X&_mathId=si9.gif&_user=111111111&_pii=S1751570X1630022X&_rdoc=1&_issn=1751570X&md5=42033caef6fef72ed9deaf227b73988b" title="Click to view the MathML source">L₂class="mathContainer hidden">class="mathCode">$L_2$ gain analysis are proposed based on the Lyapunov–Metzler inequality method and average dwell-time technique. Then by using discretized Lyapunov function technique, the state feedback controllers and dynamic output feedback controllers are designed to stabilize the switched linear systems and satisfy a weighted class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1751570X1630022X&_mathId=si9.gif&_user=111111111&_pii=S1751570X1630022X&_rdoc=1&_issn=1751570X&md5=42033caef6fef72ed9deaf227b73988b" title="Click to view the MathML source">L₂class="mathContainer hidden">class="mathCode">$L_2$ gain performance under the proposed dwell-time switching law. The method proposed in this paper can reduce the numbers of the switches. Finally the effectiveness of proposed method is illustrated through three simulation examples.