华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (3): 60-65.

• 数学 统计学 • 上一篇    下一篇

含时滞扰动非线性系统的输出反馈自适应控制

许建强; 陈树中;

  

  1. 1. 华东师范大学 计算机系,上海 200062; 2. 上海应用技术学院 数理教学部, 上海 200235
  • 收稿日期:2004-04-09 修回日期:2004-12-31 出版日期:2006-05-25 发布日期:2006-05-25
  • 通讯作者: 许建强

Output Feedback Adaptive Controllers for a Class of Uncertain Nonlinear System Including Delayed Perturbations(Chinese)

XU Jian-qiang1,2 CHEN Shu-zhong1   

  1. 1.Department of Computer Science and Technology, East China Normal University; Shanghai 200062 China; 2.Center of Mathematics and Physics Teaching, Shanghai Institute of Technology, 上海 200233 China
  • Received:2004-04-09 Revised:2004-12-31 Online:2006-05-25 Published:2006-05-25
  • Contact: XU Jian-qiang

摘要： 研究了一类含变时滞扰动不确定系统的输出反馈自适应稳定问题.假定不确定性满足所谓的匹配条件且标称系统的传递函数矩阵是严格反馈正实的.基于Lyapunov稳定性理论和Lyapunov-Krasovskii型泛函设计出了一种自适应输出反馈控制器,并证明了此控制器使得闭环系统最终一致有界.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, 输出反馈自适应稳定, Lyapunov-Krasovskii型泛函, 最终一致有界, 时变时滞扰动, 输出反馈自适应稳定, Lyapunov-Krasovskii型泛函, 最终一致有界

Abstract: The problem of output feedback adaptive stabilization for a class of uncertain dynamic system including time varying delayed perturbations was discussed.The uncertainties were assumed to satisfy the so-called matching conditions and the transfer function matrix of the nominal system was strictly feedback positive real.By using of the Lyapunov stability theory and Lyapunov-Krosovskii functional we proposed an output feedback adaptive controller,which guarantees that the closed-loop system is globally stable i the sense of uniform ultimate boundedness. Finally, an illustrative example was given to demonstrate the validity of the results.

Key words: output feedback adaptive stabilization, Lyapunov-Krosovskii functional, uniform ultimate boundedness, time varying delayed perturbations, output feedback adaptive stabilization, Lyapunov-Krosovskii functional, uniform ultimate boundedness

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