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		Xiaohong JIAO,Jie YANG,Qiang LI.[en_title][J].Control Theory and Technology,2011,9(2):183~188.[Copy]

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XiaohongJIAO,JieYANG,QiangLI
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(Institute of Electrical Engineering, Yanshan University)

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Received:July 09, 2009Revised:July 28, 2010

基金项目:This work was supported by the National Natural Science Foundation of China (No. 60774018).

Adaptive control for a class of nonlinear systems with time-varying delays in state and input

Xiaohong JIAO,Jie YANG,Qiang LI

(Institute of Electrical Engineering, Yanshan University)

Abstract:

This paper is concerned with the adaptive stabilization problem of uncertain input delayed systems. A solution to this problem is given for a class of uncertain nonlinear systems with time-varying delays in both state and input. An adaptive asymptotically stabilizing controller, which can guarantee the stability of the closed-loop system and the convergence of the original system state, is designed by means of the Lyapunov-Krasovskii functional stability theory combined with linear matrix inequalities (LMIs) and nonlinear adaptive techniques. Some numerical examples are presented to demonstrate the effectiveness of the derived controller.

Key words: Adaptive stabilization Input delay State delay Uncertain nonlinear delay systems Lyapunov-Krasovskii functional Linear matrix inequalities