Robust H∞ Control for Stochastic Time-Delay Systems with Markovian Jump Parameters via Parameter-Dependent Lyapunov Functionals

被引：0

作者：

Jianwei Xia

Bo Song

Junwei Lu

机构：

[1] Liaocheng University,School of Mathematics Science

[2] Nanjing University of Science and Technology,School of Automation

[3] Nanjing Normal University,College of Electrical and Electronic Engineering

来源：

Circuits, Systems & Signal Processing | 2008年 / 27卷

关键词：

control; Markovian jump parameters; Polytopic uncertainties; Stochastic systems; Time delays;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with the problems of robust stabilization and robust H∞ control for time-delay stochastic systems with Markovian jump parameters and convex polytopic uncertainties. The purpose is the design of state feedback controllers such that the closed-loop system is robustly exponentially stable in the mean square and satisfies a prescribed H∞ performance level. Sufficient conditions for the solvability of the problems are obtained via parameter-dependent Lyapunov functionals. Furthermore, it is shown that desired state feedback controllers can be designed by solving a set of linear matrix inequalities.

引用

页码：331 / 349

页数：18

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