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应用科学学报 ›› 2006, Vol. 24 ›› Issue (5): 514-518.

• 论文 • 上一篇    下一篇

非线性时滞系统状态反馈跟踪控制

陈为胜, 李俊民   

  1. 西安电子科技大学应用数学系, 陕西西安 710071
  • 收稿日期:2005-06-29 修回日期:2006-04-10 出版日期:2006-09-30 发布日期:2006-09-30
  • 作者简介:陈为胜,Ph.D.Candidate,research interests include adaptive control and neural network control,E-mail:wshchen@126.com;李俊民,Professor,research interests include iterative learning control and networked control,E-mail:jmli@mail.xidian edu.cn
  • 基金资助:
    Project Supported by National Natural Science Foundation of China (60374015)

State Feedback Tracking Control for Nonlinear Time-Delay Systems

CHEN Wei-sheng, LI Jun-min   

  1. Department of Applied Mathematics, Xidian University, Xi'an 710071, China
  • Received:2005-06-29 Revised:2006-04-10 Online:2006-09-30 Published:2006-09-30
  • Supported by:
    Project Supported by National Natural Science Foundation of China (60374015)

PDF

103

被引次数

4

摘要： 针对一类严格反馈非线性时滞系统,采用反推(backstepping)技术,提出了一种状态反馈跟踪控制器的设计方案.采用占有(domination)方法处理系统的非线性时滞函数.在系统非线性函数满足Lipschitz条件的假设下,实现对给定参考信号的全局渐近跟踪,并保证了闭环系统所有信号一致有界.通过构建一个Lyapunov-Krasoviskii泛函,证明了闭环系统的稳定性.最后,通过一个仿真实例说明了所提方案的可行性.

关键词: 非线性时滞系统, Lyapunov-Krasoviskii泛函, 反推设计, 跟踪控制

Abstract: A design approach to state feedback tracking controller is proposed for a class of strict feedback nonlinear time-delay systems by means of backstepping technique.Domination method is used to deal with nonlinear time-delay functions.Under the assumption that the nonlinear time-delay functions of systems satisfy Lipschitz condition, globally asymptotical tracking of the given reference signal is achieved and the bound of all signals of the resulted closed-loop sy stem is also guaranteed.By constructing a Lyapunov-Krasoviskii functional, stability of the closed-loop system is proved.Feasibility of the proposed approach is shown in a simulation example.

Key words: Lyapunov-Krasoviskii functional, tracking control, nonlinear time-delay systems, backstepping design CLC number:TP 273 Document code:A

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