基于LMI的结构主动控制系统故障诊断与隔离设计

Design of fault detection and isolation for active structural control system based on LMI approach

基于H∞鲁棒控制原理,提出了结构主动控制系统故障检测器的设计方法,形成了结构主动控制系统的故障诊断与隔离技术(Fault Detection and Isolation,FDI)。首先根据H∞控制目标提出了FDI系统的模型,将故障信号的检测问题转化为一个鲁棒控制问题,应用线性矩阵不等式(Linear Matrix Inequality,LMI)算法解出H∞最优控制器,即故障检测器。通过一个三层框架结构的数值算例验证了设计的有效性。该研究工作为结构主动控制系统的健康检测提供了参考,为进一步进行容错控制的研究奠定了基础。

The fault detection and isolation （FDI） technique was introduced and the design method of FDI filter in active control system of structure was presented based on H∞ robust control theory. The FDI system model was constructed according to H∞ object which changes the fault detection problem to a robust eontrol problem. The H∞ optimal controller named FDI filter is worked out applying the algorithm of linear matrix inequality （LMI）. Simulation results of a three-story building demonstrate the effectiveness of FDI filter. The study provides a reference to the health monitoring of active control system of structure and gives the base of the fault tolerant control.