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A Guaranteed Cost Approach to Dynamic Output Feedback Control for Neutral-Type Markovian Jumping Stochastic Systems

  

  1. LI Yanbo (Corresponding author)
    School of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, China.
    Email: apples729@163.com.
    KAO Binghua
    Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, China.
    XIE Jing
    School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266520, China.
    KAO Yonggui
    Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, China.
  • Online:2021-08-25 Published:2021-08-10

LI Yanbo · KAO Binghua · XIE Jing · KAO Yonggui. A Guaranteed Cost Approach to Dynamic Output Feedback Control for Neutral-Type Markovian Jumping Stochastic Systems[J]. Journal of Systems Science and Complexity, 2021, 34(4): 1487-1500.

This paper is devoted to investigating the dynamic output feedback (DOF) control problem of Markovian jump neutral-type stochastic systems with a guaranteed cost function. Both of the state and measurement equations contain time delays. Mode-dependent DOF controllers are first designed such that the closed-loop system is asymptotically stable in mean-square and an adequate performance level of this system is guaranteed. Then, sufficient conditions for the solvability of this problem are derived in the form of linear matrix inequalities (LMIs). A numerical example is presented to reveal the effectiveness of our findings.
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