时延转移概率部分未知的网络控制系统H∞鲁棒故障检测

Robust H∞ Fault Detection for networked control systems with partly unknown time-delay transition probabilities

中文关键词  故障检测滤波器  转移概率矩阵  Markov链  鲁棒H∞性能

英文关键词  fault detection filter  transition probability matrix  Markov chain  robust H∞ performance

中文摘要

      针对具有时延的离散网络控制系统, 研究了时延转移概率部分未知条件下的鲁棒H∞故障检测问题. 首先, 利用两个独立的有限维数的Markov链分别描述传感器至控制器时延及控制器至执行器时延, 把网络控制系统建模为具有两个Markov链的控制系统. 在此基础上构造了故障检测滤波器, 利用状态增广的方法建立了闭环系统模型. 然后, 以矩阵不等式的形式得到了闭环系统随机稳定和满足给定H∞性能的条件, 并给出了相应控制器及滤波器增益矩阵的求解方法. 最后实例仿真表明, 所得到的故障检测滤波器不仅对故障敏感而且对外部扰动具有鲁棒性.

英文摘要

      This paper investigates the robust H∞ fault detection problem for discrete networked control systems with time-delay on condition that the transition probabilities of time-delays are partly unknown. First, the time-delay from sensor to controller and the time-delay from sensor to actuator are both considered which are described by two independent Markov chains of finite dimensions. The networked control system is molded as a control system which contains two Markov chains. Furthermore, the fault detection filter is constructed and the closed-loop system is established by the state augmented method. Next, the conditions which make the closed-loop system stochastically stable and achieve prescribed H∞ performance are obtained in terms of linear matrix inequalities, and the method of calculating the corresponding controller and fault detection filter gain matrices is also given. Finally, the simulation example shows that the proposed fault detection filter is sensitive to fault and also robust to exogenous disturbance.