转移概率部分未知的网络控制系统状态反馈

State Feedback for Networked Control Systems with Partly Unknown Transition Probabilities

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。

The problem of state feedback control for networked control systems with time-delay is studied. The time-delay is modelled as a finite state Markov chain of which transition probabilities are partly tmknown. The closed-loop system model is obtained by means of state augmentation. A sufficient condition is given which guarantees the stochastic stability of the closed-loop system and the controller design method is also obtained. Finally, a simulation example is used to show the validity of the proposed method.