Stability and stabilization for singularly perturbed systems with Markovian jumps

被引：13

作者：

Wang, Guoliang ^{[1
]}

Xu, Lei ^{[1
]}

机构：

[1] Liaoning Shihua Univ, Sch Informat & Control Engn, Fushun 113001, Liaoning, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2020年 / 30卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Markovian jump systems; singularly perturbed systems; stability; stabilization; linear matrix inequality; H-INFINITY CONTROL; ROBUST STABILITY; CONTROL DESIGN; FILTER DESIGN; BOUNDS;

D O I：

10.1002/rnc.5014

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article focuses on the stability and stabilization problems of singularly perturbed jump systems. Here, the singularly perturbed parameter (SPP) is also with Markov switching and satisfies any epsilon i is an element of(0,epsilon?i] with positive bound epsilon?i predefined. First, stability conditions expressed epsilon(i)-free but involving its bound are developed by constructing an epsilon(i)-dependent Lyapunov function. Then, a method for state feedback stabilization controller depending on SPP is proposed, whose conditions are given in terms of linear matrix inequalities. Moreover, some special cases about deterministic SPP are considered too. Finally, two practical examples are used to demonstrate the effectiveness and superiorities of the proposed methods.

引用

页码：4690 / 4707

页数：18