This article investigates the dynamic output feedback control problem for a class of networked Markovian jump systems via sliding mode control method. The stochastic communication protocol schedules the communication between sensors and the controller, by which only one sensor node can access the network at one instant. First, a compensator at the controller side is utilized to yield the available measurement signals composed of the current measurement output transmitted by the selected sensor node and the past measurement output from other sensor nodes. A joint Markovian chain incorporating the Markovian chains of the system as well as the stochastic communication protocol is introduced to model the Markovian jump system subject to the stochastic communication protocol. And then, the dynamic output feedback sliding mode controller is designed and the stochastic stability is analyzed. Moreover, a feasible solving algorithm is provided via a projection technique. Finally, the proposed control scheme is verified via an electrical motor model.

中文翻译：

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随机通信协议下马尔可夫跳跃系统的动态输出反馈滑模控制及其应用

本文通过滑模控制方法研究了一类网络马尔可夫跳跃系统的动态输出反馈控制问题。随机通信协议调度传感器和控制器之间的通信，通过该通信，只有一个传感器节点可以在一个瞬间访问网络。首先，利用控制器侧的补偿器来产生可用的测量信号，该信号包括由所选传感器节点发送的当前测量输出和其他传感器节点的过去测量输出。引入了结合系统的马尔可夫链和随机通信协议的联合马尔可夫链，以对受随机通信协议约束的马尔可夫跳跃系统建模。然后，设计了动态输出反馈滑模控制器，分析了随机稳定性。此外，通过投影技术提供了可行的求解算法。最后，通过电动机模型验证了提出的控制方案。