基于奇异值分解的控制系统故障检测滤波器设计

On Necessary Condition for Existence of FDI Filter Using UIO

利用奇异值分解技术 ,构造一种未知输入观测器 ,并在此基础上设计 FDI滤波器 ,实现控制系统的故障检测与隔离。由原始系统矩阵 ,给出了 FDI滤波器存在的必要条件。仿真算例验证了所提方案的有效性。

UIO(unknown input observer) is frequently used to design FDI(fault detection and isolation) filter. Patton et al in 1998 gave the necessary and sufficient condition for the existence of FDI filter but it is not quite satisfactory in actual use. We now present a more useful necessary condition for its existence. Our necessary condition comes naturally from our design of UIO. In section 1, we give eqs.(1a) through (15b) for designing UIO on the basis of singular value decomposition. Eq.(25) gives the necessary condition in terms of the original system matrices. Simulation results given in Figs.1 and 2 show preliminarily that our necessary condition does guarantee the existence of FDI filter and that eqs.(18) through (24) can make the design of FDI filter effective.