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应用科学学报

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一类含变时滞扰动非线性系统的自适应鲁棒镇定

许建强;陈树中   

  1. 1.上海应用技术学院 数理教学部，上海 200233； 2.华东师范大学 计算机系，上海 200062
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-03-20 发布日期:2007-03-20

Adaptive Robust Stabilization for a Class of Nonlinear Systems with TimeVarying Delayed Disturbance

XU Jian qiang;CHEN Shu zhong   

  1. 1.Teaching Center of Mathematics and Physics, Shanghai Institute of Technology, Shanghai 200233， China; 2.Department of Computer Science and Technology, East China Normal University, Shanghai 200062， China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-03-20 Published:2007-03-20

被引次数

1

摘要： 研究了一类含匹配变时滞状态扰动非线性系统的鲁棒自适应镇定问题.假定变时滞状态扰动的上界是未知的，且满足线性增长条件.基于Lyapunov稳定性理论和Lyapunov Krasovskii型泛函，设计了一种鲁棒自适应状态反馈控制器，并证明了此控制器使得闭环系统一致最终有界，且系统的状态将一致渐近趋于0.最后给出一个仿真例子说明结论的有效性.

关键词: 时变时滞扰动, 非线性系统, 自适应控制, Lyapunov Krasovskii型泛函, 最终一致有界

Abstract: The problem of adaptive stabilization for a class of nonlinear systems including matching time varying delayed disturbance is discussed. The bound of the time varying delayed state disturbances are unknown, and are assumed to satisfy the linear growth conditions. By using the Lyapunov stability theory and Lyapunov Krosovskii functional, we propose a robust adaptive state feedback controller, which can guarantee that the closed loop system is globally stable in the sense of uniform ultimate boundedness, and the state trajectories uniformly asymptotically tend to zero. An illustrative example is given to demonstrate validity of the results.

Key words: time varying delayed disturbance, nonlinear systems, adaptive control, Lyapunov Krosovskii functional, uniform ultimate boundedness