Delay-dependent stability and stabilization criteria of networked control systems with multiple 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 430074 China. 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2006年第4卷第4期

页      面：321-326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：This work was supported by the National Natural Science Foundation of China(No. 60275013) 

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

摘      要：This paper deals with the problem of delay-dependent stability and stabilization for networked control systems（NCSs）with multiple time-delays. In view of multi-input and multi-output（MIMO） NCSs with many independent sensors and actuators, a continuous time model with distributed time-delays is proposed. Utilizing the Lyapunov stability theory combined with linear matrix inequalities（LMIs） techniques, some new delay-dependent stability criteria for NCSs in terms of generalized Lyapunov matrix equation and LMIs are derived. Stabilizing controller via state feedback is formulated by solving a set of LMIs. Compared with the reported methods, the proposed methods give a less conservative delay bound and more general results. Numerical example and simulation show that the methods are less conservative and more effective.