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一类随机非线性时变滞系统的输出反馈自适应控制

高庆争1, 陈传祥1, 解学军2   

  1. 1. 济宁学院物理系,山东济宁273155;2. 曲阜师范大学自动化研究所,山东曲阜273165
  • 收稿日期:2007-09-02 修回日期:1900-01-01 出版日期:2007-10-24 发布日期:2007-10-24
  • 通讯作者: 高庆争

Output-feedback adaptive control for a class of stochastic nonlinear time varying delay systems

GAO Qing-zheng1;CHEN Chuan-xiang1;XIE Xue-jun2   

  1. 1. Department of Physics,Jining University,Jining 273155,China;2. Institute of Automation,Qufu Normal University,Qufu 273165,China
  • Received:2007-09-02 Revised:1900-01-01 Online:2007-10-24 Published:2007-10-24
  • Contact: GAO Qing-zheng

摘要: 针对随机噪声具有未知协方差的一类随机非线性时变滞系统,研究了输出反馈自适应控制问题.利用反推设计技术,构造性的给出了一个基于观测器的控制器和仅与输出相关的自适应律,保证了闭环系统是概率意义下全局渐近稳定的,所设计的观测器和自适应控制器是不依赖于时滞的.仿真例子验证了该控制方案的有效性.

关键词: 随机非线性时变滞系统, 反推, 输出反馈镇定, 概率意义下全局渐近稳定

Abstract: The output-feedback adaptive control problem was investigated for a class of stochastic nonlinear time varying delay systems driven by stochastic noise of unknown covariance. By utilizing the backstepping design technique, acontroller based on observer and the adaptive law only correlated with output was constructively presented to guarantee that the closed-loop system is globally asymptotically stable in probability, where the designed observer and adaptive controller are all independent of time-delay. A simulation example demonstrates the effectiveness of the control scheme.

Key words: stochastic nonlinear time varying delay systems, back-stepping, output-feedback stabilization, globally asymptotically stable in probability

中图分类号: 

  • TP273
[1] 李振波1, 朱淑倩2. 受控正时滞系统的弹性静态输出反馈镇定[J]. 山东大学学报(工学版), 2011, 41(3): 46-51.
[2] 周靖,温长云 . 基于反推方法的自适应内模原理的多输入多输出系统控制[J]. 山东大学学报(工学版), 2007, 37(5): 1-10 .
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