时滞离散马尔可夫跳跃系统的鲁棒故障检测

Robust Fault Detection for Discrete-time Markovian Jump Systems with Time-delays

研究具有状态时滞离散马尔可夫跳跃系统的鲁棒故障检测问题.基于依赖于系统模态的滤波器构造残差产生系统,利用H∞控制理论将故障检测滤波器的设计归结为H∞滤波问题,应用线性矩阵不等式技术得到了此类系统的故障检测滤波器存在的充分条件.数值仿真表明所提方法是可行的.

The robust fault detection problem for a class of discrete-time Markovian jump systems with time-delays is investigated. The residual generator is constructed based on the filter which parameter matrices depend on the system mode. The design of fault detection filter is formulated as H∞ filtering problem in terms of H∞ control theory. Sufficient condition for the existence of the above filters is established by means of linear matrix inequalities. A numerical example shows the efficiency and the feasibility of the proposed method.