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

作　　者：Jiao, Xiaohong  Yang, Jie  Li, Qiang 

机构地区：[1] Institute of Electrical Engineering, Yanshan University, Qinhuangdao Hebei 066004, China

出　　处：《控制理论与应用（英文版）》2011年第2期183-188,共6页

基　　金：supported by the National Natural Science Foundation of China (No. 60774018)

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.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.

关 键 词：Adaptive stabilization Input delay State delay Uncertain nonlinear delay systems Lyapunov-Krasovskii functional Linear matrix inequalities 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]