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针对具有网络诱导时延的网络控制系统,把时延建模为有限状态的马尔科夫链,在马尔科夫链的转移概率矩阵中的元素是部分未知的条件下,研究了网络控制系统的状态反馈控制问题。通过状态增广的方法建立了闭环系统的模型,利用Lyapunov稳定性理论和线性矩阵不等式方法给出了使闭环系统随机稳定的充分条件及控制器设计方法。利用Matlab LMI工具箱可以方便地求出控制器增益矩阵。实例仿真说明了所提方法的有效性。
Aiming at the network control system with network induced delay, the delay is modeled as a Markov chain of finite state. Under the condition that the elements in the transition probability matrix of Markov chain are partly unknown, the network control system Status feedback control problem. A closed-loop system model is established by means of state augmentation. The sufficient conditions for the closed-loop system to be stochastically stable and the controller design method are given by using the Lyapunov stability theory and the linear matrix inequality method. Using the Matlab LMI toolbox, it is easy to find the controller gain matrix. The simulation results show the effectiveness of the proposed method.