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

摘要：

In this paper, the robust stability and robust state feedback stabilization problems for a class of nonlinear discretetime 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.

关键词： Discrete-time descriptor switched system nonlinear uncertainty stability robust state feedback stabilization.

作者: Wei Wang Shuping Ma Jie Wang Shuai Song

作者单位: School of Mathematics, Shandong University,Jinan, 250100, China School of Mathematics, Shandong University, Jinan, 250100, China

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 4042-4047

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）