Stability and static output feedback stabilization for a class of nonlinear discrete-time singular switched systems

被引:0
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作者
Wei Wang
Shuping Ma
Chenghui Zhang
机构
[1] Shandong University,School of Mathematics
[2] Shandong University,School of Control Science and Engineering
关键词
Discrete-time singular switched system; linear matrix inequality (LMI); nonlinear; stability; static output feedback stabilization;
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摘要
In this paper, the stability and static output feedback stabilization problems for a class of nonlinear discrete-time singular switched systems are discussed. First, based on Lyapunov theory and the implicit function theorem, linear matrix inequalities sufficient conditions are developed which guarantee that the nonlinear discrete-time singular switched systems are regular, causal, have unique solution in a neighborhood of the origin, and are uniformly asymptotically stable. Then, with these conditions, and based on singular value decomposition approach, the design method of static output feedback controllers is given. Last, numerical examples are provided to illustrate the effectiveness of the proposed methods.
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页码:1138 / 1148
页数:10
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