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Finite-Time Control for Discrete-Time Markov Jump Systems with Actuator Saturation

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  • Bo Li
  • Junjie Zhao

Abstract

This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Bo Li & Junjie Zhao, 2014. "Finite-Time Control for Discrete-Time Markov Jump Systems with Actuator Saturation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, April.
    • Handle: RePEc:hin:jnlaaa:182613
    DOI: 10.1155/2014/182613
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    Cited by:

    1. Li, Qian & Liu, Xinzhi & Zhu, Qingxin & Zhong, Shouming & Zhang, Dian, 2019. "Distributed state estimation for stochastic discrete-time sensor networks with redundant channels," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 230-246.

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