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

被引：138

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

页码：1051 / 1061

页数：11

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