一类切换线性系统鲁棒故障诊断滤波器设计

Robust Fault Detection Filter Design for a Class of Switched Linear Systems

研究具有未知输入扰动的一类切换线性系统的鲁棒故障诊断滤波器设计问题。应用基于观测器的滤波器作为残差产生器,将鲁棒故障诊断滤波器的设计问题归结为H_∞滤波问题。应用线性矩阵不等式技术得到了该问题解存在的充分条件,给出了故障诊断滤波器参数矩阵的求解方法。算例验证了所提方法的有效性。

The problem of robust fault detection filter design for a class of switched linear systems with unknown input is studied.By using ob- server-based filter as a residual generator,the problem of robust fault detection filter design is formulated as an H_∞filtering problem.A suffi- cient condition for the existence of the above filter is established in terms of the feasibility of linear matrix inequalities,and the solutions are also given.A numerical example is provided to illustrate the effectiveness of the proposed method.