一种新的时滞系统鲁棒故障诊断滤波器设计方法

研究具有扰动不确定的状态时滞系统鲁棒故障诊断滤波器的设计问题.通过对系统传递函数输入输出通道的组合变换,引入一种能够同时体现残差对扰动信号鲁棒性和对故障信号灵敏性的性能指标,将基于状态观测器的鲁棒故障诊断滤波器设计问题转化为H∞优化设计问题,应用线性矩阵不等式(LMI)技术,给出并证明了该设计问题解存在的条件和求解方法.最后,通过一个仿真算例来验证本方法的有效性.

A New Approach to Design of Robust Fault Detection Filter for Time-delay Systems

The robust fault detection filter design problem for state-delay systems with disturbance is studied in this paper. By combining the appropriate input/output channels, a performance index is introduced, which simultaneously takes into account the robustness of the fault detection observer against disturbance and sensitivity to faults. The observer-based robust fault detection filter problem is formulated as an H1 optimization problem. Using linear matrix inequality techniques, the solvable condition of this optimization problem and further the solutions are derived. Finally, the validity of this approach is illustrated by a numerical example.