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.
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页码：331 / 349
页数：18
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