不确定奇异系统的鲁棒故障诊断滤波器设计

The robust fault diagnosis filter design for uncertain singular systems

研究了带参数不确定性和干扰输入的奇异系统的鲁棒故障诊断滤波器设计问题.设计H∞滤波器作为残差产生器,使残差与故障加权之间的误差尽可能小.给出了残差误差系统对所有满足条件的不确定性是容许的且残差误差与干扰输入的L2范数的比值最小的充要条件,并给出残差产生器各系数矩阵的求解方法.

The robust fault diagnosis residual generator design problem for singular systems with parameter uncertainty and distur-bance input is studied. A H∞ filter is designed as a residual generator to make the error between residual and the weighting func-tion matrix of the fault as small as possible. Sufficient and necessary conditions are given, of which the residual error system is admissible for all the uncertainty satisfying the given conditions and minimizing the ratio of the L2 norm of the residual error and disturbance input. The method to obtain the coefficient matrices of the residual generator is given.