PI tracking control for nonlinear time-varying delay Markov jump systems

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• 作者：Cong Liu (1) (2)
  Lijuan Xu (3)
  
  1. Yancheng Institute of Technology ; Yancheng ; 224051 ; P. R. China
  2. Hohai University ; Nanjing ; 210098 ; P. R. China
  3. Yancheng Biological Engineering Higher Vocational Technology School ; Yancheng ; 225009 ; P. R. China
  
• 关键词：LMI ; Markov ; PI tracking control ; stochastic stability ; time ; varying delay ; unknown nonlinear function
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：13
• 期：2
• 页码：319-326
• 全文大小：1,157 KB
• 参考文献：1. Mariton, M. (1990) Jump Linear Systems in Automatic Control.
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• 刊物类别：Engineering
• 刊物主题：Control Engineering
  
• 出版者：The Institute of Control, Robotics and Systems Engineers and The Korean Institute of Electrical Engi
• ISSN：2005-4092

文摘

This paper considers robust stochastic stability and PI tracking control problem for Markov jump systems with both input delay and an unknown nonlinear function. Based on the traditional PI control strategy, a new controller design scheme is proposed for nonlinear time-delay Markov jump systems which can realize multiple control objectives including robust stochastic stability and tracking performance. By using the Lyapunov stability theory and LMI algorithms, a sufficient condition for the solution to robust stochastic stability and tracking control problem is obtained. Then, the desired controller with PI structure is designed, which ensures the resulting closed-loop system is robust stochastically stable and the system state has favorable tracking performance. Finally, a numerical example is provided to illustrate the effectiveness of the proposed results.