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

• 作 者: Xiaohong JIAO Jie YANG Qiang L
• 机 构: Institute of Electrical Engineering
• 出 处: 控制理论与应用（英文版）
• 发表日期: 2004年期
• 关键词: Adaptive stabilization Input delay State delay Uncertain nonlinear delay systems
• 基金项目: This work was supported by the National Natural Science Foundation of China

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 in-put. 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 com-bined with linear matrix inequalities(LMIs) and nonlinear adaptive techniques. Some numerical examples are presented to demonstrate the effectiveness of the derived controller.