Delay-dependent robust stability of uncertain networked control systems with multiple state time-delays

作     者：Huaicheng YAN Xinhan HUANG Min WANG 

作者机构：Department of Control Science and Engineering Huazhong University of Science and Technology Wuhan Hubei 430074China. 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2007年第5卷第2期

页      面：164-170页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China(No.60275013) 

主　　题：Networked control systems(NCSs) Delay-dependent robust stability Linear matrix inequalities (LMIs) Networked-induced delay Maximum allowable delay bound(MADB) 

摘      要：In this paper, delay-dependent robust stability for a class of uncertain networked control systems （NCSs） with multiple state time-delays is investigated. Modeling of multi-input and multi-output （MIMO） NCSs with networkinduced delays and uncertainties through new methods are proposed. Some new stability criteria in terms of LMIs are derived by using Lyapunov stability theory combined with linear matrix inequalities （LMIs） techniques. We analyze the delay-dependent asymptotic stability and obtain maximum allowable delay bound （MADB） for the NCSs with the proposed methods. Compared with the reported results, the proposed results obtain a much less conservative MADB which are more general. Numerical example and simulation is used to illustrate the effectiveness of the proposed methods.