转移概率未知下具有双Markov链的网络控制系统控制器设计

Controller design of networked control systems with two Markov chains under partly unknown transition probabilities

研究一类基于Markov模型的网络控制系统的稳定性和镇定控制器设计问题.针对网络控制系统中受控对象模型的随机切换和通信过程中的丢包问题,利用具有两个独立Markov链的离散时间Markov跳跃系统进行建模.在该Markov跳跃系统模态转移概率矩阵部分元素未知的情况下,充分考虑转移概率的约束条件,给出系统可镇定的充要条件和状态反馈控制器的设计方法.最后通过仿真示例验证了所提出方法的有效性.

This paper investigates the stability and stabilization problems of networked control systems. By considering the structural stochastic switching of plant and packet dropouts over networks, Markovian jump systems characterized by two independent Markov chains are applied to model such dynamics. Taking into account the incomplete transition descriptions in practice, the necessary and sufficient criteria of stabilization are obtained via the properties of mode transition probabilities. Simultaneously, the state feedback controller is designed to guarantee the stochastic stability of such systems. Simulation results show the effectiveness of the proposed method.