Fuzzy Fault Detection Filter Design for T-S Fuzzy Systems in the Finite-Frequency Domain

被引：140
作者：
Chibani, Ali [1 ]
Chadli, Mohammed [2 ]
Shi, Peng [3 ,4 ,5 ]
Braiek, Naceur Benhadj [1 ]
机构：
[1] Univ Carthage, Adv Syst Lab, La Marsa 2078, Tunisia
[2] Univ Picardie Jules Verne, F-80039 Amiens, France
[3] Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China
[4] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 3000, Australia
[5] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2017年 / 25卷 / 05期
关键词：
Fault detection (FD) filter; finite-frequency domain; fuzzy Lyapunov function; H-/H-infinity index; linear matrix inequality (LMI); Takagi-Sugeno (T-S) fuzzy system; MATRIX INEQUALITY APPROACH; DETECTION OBSERVER DESIGN; DISCRETE-TIME-SYSTEMS; LMI APPROACH; NONLINEAR-SYSTEMS; KYP LEMMA; VEHICLE;
D O I：
10.1109/TFUZZ.2016.2593921
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper deals with the fault detection filter design for a nonlinear discrete-time system in the Takagi-Sugeno fuzzy form with faults and unknown inputs. Both unknown input and fault frequencies are assumed to be known and to reside in low-/middle-/high-frequency ranges. A filter is proposed in the finite-frequency domain to reduce the conservatism generated by those designed in the entire-frequency domain. In order to guarantee the best robustness to disturbances and sensitivity to faults, the developed filter combines theH(-)/H-infinity performances. The asymptotic stability of the filtering error dynamics is ensured by using a fuzzy Lyapunov function and a linear matrix inequality approach. Finally, two examples are presented to validate the proposed new design techniques.
引用
收藏
页码：1051 / 1061
页数：11
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