标题:Finite-Time Stability and Stabilization for a Class of Nonlinear Discrete-Time Singular Switched Systems
作者:Xu, You; Zhu, Shuqian; Ma, Shuping
通讯作者:Xu, Y
作者机构:[Xu, You; Zhu, Shuqian; Ma, Shuping] Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
会议名称:26th Chinese Control and Decision Conference (CCDC)
会议日期:MAY 31-JUN 02, 2014
来源:26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC)
出版年:2014
页码:4918-4923
关键词:Discrete-time singular switched system; Nonlinear system; Finite-time; stability; State feedback stabilization
摘要:In this paper, the problem of finite-titne stability analysis and state feedback stabilization for a class of nonlinear discrete-time singular switched systems is discussed. First, based on the switching Lyapunov theory and the implicit function theorem, a sufficient condition is developed in the form of linear matrix inequalities (LAM) which guarantees that the nonlinear discrete-time singular switched system is regular, causal, has a unique solution in a neighborhood of the equilibrium point, and is finite-time stable. Then based on the above condition, a condition on the existence of the finite-time state feedback stabilization controller for the nonlinear discrete-time singular switched system is proposed and the design method is given. Finally, two numerical examples are given to show the effectiveness and correctness of the proposed methods.
收录类别:CPCI-S
WOS核心被引频次:2
资源类型:会议论文
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