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

作　　者：曲春绪[1] 霍林生[1] 李宏男[1] 

机构地区：[1]大连理工大学建设工程学部,大连116024

出　　处：《振动与冲击》2012年第10期53-58,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金(50708016);国家自然科学基金创新群体(51121005);高等学校学科创新引智计划(B08014);地震行业科研专项(200808074)

摘　　要：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.

关 键 词：H∞鲁棒控制 故障诊断与隔离 线性矩阵不等式 容错控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]