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

被引：13

作者：

Jiao X. ^{[1
]}

Yang J. ^{[1
]}

Li Q. ^{[1
]}

机构：

[1] Institute of Electrical Engineering, Yanshan University

来源：

Journal of Control Theory and Applications | 2011年 / 9卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Adaptive stabilization; Input delay; Linear matrix inequalities; Lyapunov-Krasovskii functional; State delay; Uncertain nonlinear delay systems;

D O I：

10.1007/s11768-011-9142-2

中图分类号：

学科分类号：

摘要：

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. © 2011 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：183 / 188

页数：5

共 23 条

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