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Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol

Author

Listed:
  • Zhiguo An
  • Qijuan Chen
  • Junxiang Liu
  • Le Luan
  • Yong Wang
  • Kai Zhou
  • Wenxiong Mo
  • Huihong Huang

Abstract

This work is concerned with the control for Markov switching singularly perturbed systems with the stochastic communication protocol. To coordinate the data transmission and save the bandwidth usage, the stochastic communication protocol with a compensator is applied to schedule the information exchange. The goal of this work is to design a joint-Markov-process-based controller such that the resulting system is stochastically stable with prescribed performance. Based on the Lyapunov functional technique, a sufficient condition is derived to ensure the existence of the achieved controller. Finally, the effectiveness and correctness of the developed results are verified by the simulation example.

Suggested Citation

  • Zhiguo An & Qijuan Chen & Junxiang Liu & Le Luan & Yong Wang & Kai Zhou & Wenxiong Mo & Huihong Huang, 2021. "Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-10, February.
    • Handle: RePEc:hin:jnlmpe:6690729
    DOI: 10.1155/2021/6690729
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