Stability analysis and controller design for networked control systems with random time delay

被引：36

作者：

Sun, Yeguo ^{[1
]}

Qin, Shiyin ^{[1
]}

机构：

[1] Beijing Univ Aeronaut & Astronaut, Sch Automat, Beijing 100083, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2011年 / 42卷 / 03期

基金：

中国国家自然科学基金;

关键词：

continuous-time system; networked control systems; state feedback control; transmission delay; Markov process; linear matrix inequalities; RANDOM COMMUNICATION DELAYS; MARKOVIAN JUMP SYSTEMS; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1080/00207720903513368

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 deals with the problem of stabilisation for a class of networked control systems with random time delay via the state feedback control. The transmission delay is modelled as a Markov process, and the resulting closed-loop system is modelled as a Markovian jump linear system. Based on the Lyapunov stability theorem combined with linear matrix inequality (LMI) techniques, some new delay-dependent stochastic stability criteria for the system are derived. A switching state feedback controller that makes the closed-loop system stochastically stable is designed, which is obtained by solving some LMIs. Numerical simulation results illustrate the effectiveness of the method proposed in this article.

引用

页码：359 / 367

页数：9

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