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Optimal Control for Networked Control Systems with Markovian Packet Losses

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  • Xiao Han
  • Zhijian Ji
  • Qingyuan Qi

Abstract

This paper is concerned with the optimal output feedback control problem for networked control systems (NCSs) with Markovian packet losses. In this paper, the packet losses occur both between the sensor and controller and between the controller and actuator. Moreover, the packet loss channels are described with two-state Markov chains. Since the precise state information cannot be obtained, thus an optimal recursive estimator is designed. Furthermore, by adopting the dynamic programming approach, we derive the optimal output feedback control, which is based on the solution to a given modified Riccati equation. The obtained results can be seen as an important implementation of the control theory for NCSs with unreliable communication channels.

Suggested Citation

  • Xiao Han & Zhijian Ji & Qingyuan Qi, 2020. "Optimal Control for Networked Control Systems with Markovian Packet Losses," Complexity, Hindawi, vol. 2020, pages 1-11, November.
    • Handle: RePEc:hin:complx:4804320
    DOI: 10.1155/2020/4804320
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    Cited by:

    1. Qi, Qingyuan & Qiu, Zhenghong & Wang, Xianghua & Ji, Zhijian, 2022. "Asymmetric information control for stochastic systems with different intermittent observations," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    2. Xu, Xiaozeng & Zhang, Hongbin & Zheng, Qunxian & Chen, Wei, 2022. "Global exponential stability and H∞ control of limit cycle for switched affine systems under time-dependent switching signal," Applied Mathematics and Computation, Elsevier, vol. 423(C).

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