时滞离散LPV系统的鲁棒故障检测与分离

研究了一类具有时变时滞的离散线性参数变化系统的故障检测与分离问题,基于依赖于时变参数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.所设计的滤波器能保证残差信号和故障信号之间的误差最小,且残差信号对控制输入、外界扰动信号具有鲁棒性.应用线性矩阵不等式技术得到了此类系统鲁棒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.

Robust fault detection and isolation for a class of discrete-time linear parameter-varying systems with time-delays

This paper investigated the problem of robust fault detection and isolation for a class of discrete-time linear parameter-varying systems with time-varying delays. The residual generator was constructed by the filter whose parameters matrices depend on time-varying parameter. The design of fault detection filters was reduced to H~ filtering problem. The obtained filter can assure the difference between the residual and the fault as small as possible and robustness of the residual to control input and external disturbance. Sufficient condition for the existence of the above filters is established by means of linear matrix inequalities. A numerical example illustrates the feasibility of the proposed approach.