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基于LMI的结构主动控制系统故障诊断与隔离设计
引用本文:曲春绪,霍林生,李宏男. 基于LMI的结构主动控制系统故障诊断与隔离设计[J]. 振动与冲击, 2012, 31(10): 53-58. DOI:  
作者姓名:曲春绪  霍林生  李宏男
作者单位:大连理工大学建设工程学部,辽宁 大连 116024
基金项目: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。

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 
收稿时间:2011-01-03
修稿时间:2011-06-28

Design of fault detection and isolation for active structural control system based on LMI approach
QU Chun-xu,HUO Lin-sheng,LI Hong-nan. Design of fault detection and isolation for active structural control system based on LMI approach[J]. Journal of Vibration and Shock, 2012, 31(10): 53-58. DOI:  
Authors:QU Chun-xu  HUO Lin-sheng  LI Hong-nan
Affiliation:Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China
Abstract: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 control 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.
Keywords:H∞ robust control  fault detection and isolation  linear matrix inequality  fault tolerant control
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