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Received:September 22, 2005Revised:May 16, 2006 |
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Delay-dependent stability and stabilization criteria of networked control systems with multiple time-delays |
Huaicheng YAN, Xinhan HUANG, Min WANG |
(Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Hubei 430074, China.) |
Abstract: |
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. |
Key words: Networked control systems(NCSs) Delay-dependent stability Generalized Lyapunov matrix equation Linear matrix inequalities (LMIs) Networked-induced delay Maximum allowable delay bound(MADB) |