基于T-S模型的非线性系统故障诊断集员滤波器的设计  

Design of fault diagnosis set membership filter for nonlinear systems based on T-S model

作　　者：苗琳璐 王武[1] 李玉榕[1] 

机构地区：[1]福州大学电气工程与自动化学院福州350108

出　　处：《高技术通讯》2014年第2期208-214,共7页Chinese High Technology Letters

基　　金：国家自然科学基金(61104041);福建省自然科学基金(2012J01257)资助项目

摘　　要：针对故障未知但有界的非线性系统,提出了一种用于故障诊断的集员滤波器的设计方法,保证系统的状态、故障信号的值100%包含在上下界内。采用T-S模糊模型近似表示非线性系统,并假设过程噪声、测量噪声、故障信号的值和模型的近似误差有界,采用S-过程和线性矩阵不等式(LMI)方法设计集员滤波器,最后运用递归优化算法对集员滤波器的设计进行优化。基于集员滤波器的故障诊断方法不仅可以对故障大小进行估计,还能够检测出故障信号的类型。数值仿真说明了该方法的可行性和有效性。A method for design of a set-membership filter for fault diagnosis of a nonlinear system with unknown but bounded faults was proposed to ensure all the values of state and fault signals of the system to be within the range from a low bound to an upper bound. The Takagi Sugeno （T-S）fuzzy model was employed to approximate the nonlin- ear system, with the assumption that the values of process noises, measurement noises, fault signals, and approximate errors were bounded, and then the S-procedure and the linear matrix inequality （LMI） method were applied to de- sign of the set-membership filter. Finally, a recursive algorithm was developed for computing the state estimate ellip- soid. The method for fault diagnosis based on the set membership filter using ellipsoid can not only estimate fault si- zes, but also can detect the types of fault signals. The simulation results show that the method presented is available and effective.

关 键 词：集员滤波器 非线性系统 线性矩阵不等式(LMI) T-S模型 故障诊断 

分 类 号：TN713[电子电信—电路与系统]