奇异模糊系统基于等价空间的故障检测  

Parity based fault detection for singular fuzzy systems

作　　者：陈莉[1,2] 钟麦英[3] 

机构地区：[1]山东大学控制科学与工程学院,济南250061 [2]山东经济学院统计与数学学院,济南250014 [3]北京航空航天大学惯性技术与导航仪器系,北京100191

出　　处：《控制与决策》2011年第2期182-186,共5页Control and Decision

基　　金：国家973计划项目(2009CB724002);国家863计划项目(2008AA121302);国家自然科学基金项目(60774071);山东经济学院博士基金项目

摘　　要：研究一类用Takagi-Sugeno(T-S)模糊模型描述的离散奇异系统基于等价空间的故障检测问题,引入反映故障先验信息的参考故障模型,提出一个基于Frobenius范数的残差产生器设计性能指标,将故障检测问题归结为求解一个最小化问题,并给出等价矩阵的线性矩阵不等式求法.该算法能保证残差在实现故障检测的同时对干扰具有最大的鲁棒性.最后,算例仿真验证了所提出方法的有效性.The problem of parity based fault detection is studied for a kind of discrete-time singular systems,which is described by Takagi-Sugeno（TS） fuzzy models.A reference fault model is introduced to reflect the faults’ prior knowledge and a residual generator is designed by introducing a new performance in Frobenius norm.The fault detection problem is converted to solve an optimization problem and a linear matrix inequality method is given to obtain the parity matrix.The given algorithm guarantees the achievement of the fault detection and simultaneously the maximal robustness of residual to disturbance.Finally,a numerical simulation shows the effectiveness of the proposed algorithm.

关 键 词：奇异模糊系统 等价空间 故障检测 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]