Robust Stability and Stabilization for Nonlinear Uncertain Discrete-Time Descriptor Switched Systems

被引：0

作者：

Wang, Wei ^{[1
]}

Ma, Shuping ^{[1
]}

Wang, Jie ^{[1
]}

Song, Shuai ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2012年

关键词：

Discrete-time descriptor switched system; nonlinear; uncertainty stability; robust state feedback stabilization; STATIC OUTPUT-FEEDBACK; H-INFINITY CONTROL; SINGULAR SYSTEMS; DELAY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the robust stability and robust state feedback stabilization problems for a class of nonlinear discrete-time descriptor switched systems with parameter uncertainties are discussed. First, based on Lyapunov theory and the existence theorem of hidden function, a linear matrix inequality(LMI) sufficient condition is developed which guarantees that the nonlinear discrete-time descriptor switched systems are regular, causal, have unique solution in a neighborhood of the origin, and are uniformly asymptotically stable. Then, with this condition, a robust stability condition for uncertain systems is obtained, and the design method of robust state feedback controllers is given. Last, a numerical example is provided to illustrate the effectiveness of the proposed methods.

引用

页码：4025 / 4030

页数：6

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