Fault Estimation for Fuzzy Delay Systems: A Minimum Norm Least Squares Solution Approach

被引：25
作者：
Huang, Sheng-Juan [1 ,2 ]
Yang, Guang-Hong [1 ,3 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China
[2] Univ Sci & Technol Liaoning, Sch Sci, Anshan 114051, Peoples R China
[3] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2017年 / 47卷 / 09期
关键词：
Fault estimation compensator (FEC); linear matrix equation (LME); linear matrix inequalities (LMIs); minimum norm least squares solution (MNLSS); observers; Takagi-Sugeno (T-S) fuzzy systems; H-INFINITY CONTROL; TOLERANT CONTROLLER-DESIGN; TIME-VARYING DELAY; ACTUATOR FAULTS; LINEAR-SYSTEMS; NETWORK ENVIRONMENT; STOCHASTIC-SYSTEMS; TRACKING CONTROL; STATE-FEEDBACK; CONTROL SCHEME;
D O I：
10.1109/TCYB.2016.2586968
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper mainly focuses on the problem of fault estimation for a class of Takagi-Sugeno fuzzy systems with state delays. A minimum norm least squares solution (MNLSS) approach is first introduced to establish a fault estimation compensator, which is able to optimize the fault estimator. Compared with most of the existing fault estimation methods, the MNLSS-based fault estimation method can effectively decrease the effect of state errors on the accuracy of fault estimation. Finally, three examples are given to illustrate the effectiveness and merits of the proposed method.
引用
收藏
页码：2389 / 2399
页数：11
相关论文
共 46 条
[1]   A CRAMER RULE FOR LEAST-NORM SOLUTIONS OF CONSISTENT LINEAR-EQUATIONS [J].
BENISRAEL, A .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1982, 43 (MAR) :223-226
[2]  
CAMPBELL SL, 1979, GEN INVERSE LINEAR T
[3]   Observer-Based Adaptive Fuzzy Control for a Class of Nonlinear Delayed Systems [J].
Chen, Bing ;
Lin, Chong ;
Liu, Xiaoping ;
Liu, Kefu .
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2016, 46 (01) :27-36
[4]   Robust H∞ control of Takagi-Sugeno fuzzy systems with state and input time delays [J].
Chen, Bing ;
Liu, Xiaoping ;
Lin, Chong ;
Liu, Kefu .
FUZZY SETS AND SYSTEMS, 2009, 160 (04) :403-422
[5]   Delayed Impulsive Control of Takagi-Sugeno Fuzzy Delay Systems [J].
Chen, Wu-Hua ;
Wei, Dan ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2013, 21 (03) :516-526
[6]   Control Synthesis of Continuous-Time T-S Fuzzy Systems With Local Nonlinear Models [J].
Dong, Jiuxiang ;
Wang, Youyi ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (05) :1245-1258
[7]   Fault Tolerant Controller Design for T-S Fuzzy Systems With Time-Varying Delay and Actuator Faults: A K-Step Fault-Estimation Approach [J].
Huang, Sheng-Juan ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (06) :1526-1540
[8]   New Results on H∞ Filter Design for Nonlinear Systems With Time Delay via T-S Fuzzy Models [J].
Huang, Sheng-Juan ;
He, Xi-Qin ;
Zhang, Ning-Ning .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (01) :193-199
[9]   Fault Reconstruction and Fault-Tolerant Control via Learning Observers in Takagi-Sugeno Fuzzy Descriptor Systems With Time Delays [J].
Jia, Qingxian ;
Chen, Wen ;
Zhang, Yingchun ;
Li, Huayi .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2015, 62 (06) :3885-3895
[10]   Adaptive Fault-Tolerant Tracking Control of Near-Space Vehicle Using Takagi-Sugeno Fuzzy Models [J].
Jiang, Bin ;
Gao, Zhifeng ;
Shi, Peng ;
Xu, Yufei .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (05) :1000-1007
12345