Delay-dependent stability and stabilization criteria of networked control systems with multiple time-delays  

作　　者：Huaicheng YAN Xinhan HUANG Min WANG 

机构地区：[1]Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Hubei 430074, China.

出　　处：《控制理论与应用（英文版）》2006年第4期321-326,共6页

基　　金：This work was supported by the National Natural Science Foundation of China(No. 60275013).

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.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.

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

分 类 号：O23[理学—运筹学与控制论]