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<p>This paper discusses the control problem of two-dimensional (2-D) Markov jump positive systems (MJPSs) with parameter uncertainty and actuator saturation, where the transition probabilities are partially known. To begin with, an analysis is conducted on the stochastic stability of the systems under consideration. In addition, two categories of state-feedback control mechanisms are meticulously designed, and the associated sufficient conditions are derived to guarantee the positivity and stochastic stability of the closed-loop system. It is significant to note that a stochastic communication protocol (SCP) is introduced when designing these two kinds of controllers to address both limited signal bandwidth and potential network congestion. Finally, numerical simulations are employed to validate the theoretical findings.</p>

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State feedback control for 2-D markov jump positive systems with actuator saturation under stochastic communication protocol

  • 期刊论文

  • 发表日期：

    2025年9月5日

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  • Shuoshuo Li,
  • Jinling Wang,
  • Linzhong Zhang,
  • Qiang Li,
  • Wenyu Tao

摘要

This paper discusses the control problem of two-dimensional (2-D) Markov jump positive systems (MJPSs) with parameter uncertainty and actuator saturation, where the transition probabilities are partially known. To begin with, an analysis is conducted on the stochastic stability of the systems under consideration. In addition, two categories of state-feedback control mechanisms are meticulously designed, and the associated sufficient conditions are derived to guarantee the positivity and stochastic stability of the closed-loop system. It is significant to note that a stochastic communication protocol (SCP) is introduced when designing these two kinds of controllers to address both limited signal bandwidth and potential network congestion. Finally, numerical simulations are employed to validate the theoretical findings.