设计高阶PI观测器对线性系统故障作鲁棒检测

Design of higher-order PI observers for robust fault detection in linear time-invariant systems

针对具有干扰的线性定常系统,研究了基于高阶PI观测器的鲁棒故障检测设计问题.基于Sylveste矩阵方程的参数化解,给出了干扰与残差解耦的充要条件,并提出了基于高阶PI观测器的线性系统鲁棒故障检测参数化设计方法.数值算例及仿真分析表明所提鲁棒故障检测参数化设计方法是有效的.

We investigate the design of a higher-order PI observer for robustly detecting the faults in the linear time invariant system with disturbances. Based on the parametric solutions of Sylvester matrix equation, a necessary and suffi cient condition for decoupling the disturbances from the residuals is proposed, and a parameterized method for designing the higher-order PI observers for robust fault-detection is established. The simulation of a numerical example validates the efficacy of the oroDosed oarameterized design method for robust fault-detection.