基于LMI的结构主动控制系统故障诊断与隔离设计

曲春绪;霍林生;李宏男

振动与冲击 ›› 2012, Vol. 31 ›› Issue (10) : 53-58.

PDF(2924 KB)
PDF(2924 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (10) : 53-58.
论文

基于LMI的结构主动控制系统故障诊断与隔离设计

  • 曲春绪,霍林生,李宏男
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Design of Fault Detection and Isolation for Active Structural Control System Based on LMI Approach

  • QU Chun-xu, HUO Lin-sheng, LI Hong-nan
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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。

Abstract

This paper proposes the fault detection and isolation (FDI) technique and presents the design method of FDI filter in active control system of structure based on H∞ robust control theory. The FDI system model is 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 by linear matrix inequality (LMI). Simulation results for a three-story building demonstrated the effectiveness of FDI filter. This paper can provide a reference for the structure health monitoring of active control system and is 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

Key words

H∞ robust control / fault detection and isolation / linear matrix inequality / fault tolerant control

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导出引用
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
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

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