Finite-time stabilization of switched nonlinear systems with partial unstable modes

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• 作者：Yijing Wang ^{yjwang@tju.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Yanchao Zou ^{yczou515@tju.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Zhiqiang Zuo ; ^{zqzuo@tju.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; ^{zhiqiangzuo@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Hongchao Li ^{hcli2011@tju.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Switched nonlinear systems ; Finite-time stabilization ; Mode-dependent average switching frequency ; Partial unstable modes ; Impulse effects
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：1 December 2016
• 年：2016
• 卷：291
• 期：Complete
• 页码：172-181
• 全文大小：1037 K

文摘

This paper investigates the finite-time stabilization problem of switched nonlinear systems (SNS) in the presence of impulse effects, where both stable subsystems and unstable subsystems coexist. A new notion named mode-dependent average switching frequency (MDASF) is firstly proposed by extending the previous average switching frequency method (ASF). Designing mode-dependent switching law reveals the tradeoff among stable and unstable modes. Based on the estimation on transition matrix and Gronwall–Bellman inequality, mode-dependent feedback controllers are constructed to achieve finite-time stability of the closed-loop systems. Finally, a numerical example is given to verify the efficiency of the proposed method and the validity of our results.