一类不确定线性系统的鲁棒故障观测器设计

研究线性时不变系统的鲁棒故障观测器设计问题,给定故障检测率,降低误报率作为优化指标,对故障和未知扰动在残差信号中的输出进行滤波。再考虑不确定性影响,运用模型匹配方法,提出了具有不确定性线性系统的鲁棒故障观测器设计方法,并以线性矩阵不等式形式给出问题求解算法。通过求解具有线性矩阵不等式约束的凸优化问题获得观测器的全局最优解。通过仿真表明,改进的设计方法可有效保障残差信号对故障信号的灵敏度,并改善了诊断性能。

Design of Robust Fault Detection Observer for Uncertain LTI Systems

The robust fault detection filter design problem for linear time-invariant(LTI) systems with both unknown inputs and modeling errors was studied.A reference residual model design under the optimal index,whch given the fault detection rate and lower the false alarm rate,was proposed without considering the uncertainty.Then,based on model matching technique,the robust fault detection problem was then presented via a linear matrix inequality(LMI) formulation.Whole optimistical solution can be obtained by a convex LMI.An example demonstrates that the proposed approach effectively guarantees residual’s sensitivity to fault and improve the fault detection performance.