不确定奇异时滞系统的鲁棒H∞故障诊断滤波器设计

研究一类受参数不确定性和干扰影响的奇异时滞系统鲁棒故障诊断滤波器设计问题. 把基于观测器的故障诊断滤波器作为残差产生器, 将故障诊断滤波器设计归结为H∞滤波问题, 使产生的残差信号即为故障的H∞估计, 给出了鲁棒H∞故障诊断滤波器存在的充分条件, 并利用锥面互补线性化迭代算法得到了故障诊断滤波器设计的线性矩阵不等式求解方法. 算例验证了算法的有效性.

Designing Robust H∞ Fault Detection Filter for Singular Time-delay Systems with Uncertainty

The robust fault detection filter design problem for a class of singular time-delay systems with parameter uncertainty and disturbance is studied. Using an observer-based fault detection filter as the residual generator, the fault detection filter design is converted to an H_∞ filtering problem such that the generated residual is the H_∞ estimation of the fault. Sufficient conditions are given to guarantee the H_∞ fault detection filter exists. By using the cone complementarity linearization iterative algorithm, the linear matrix inequality method to design the fault detection filter is given. A numerical example is given to illustrate the effectiveness of the proposed algorithm.