Regular Papers

International Journal of Control, Automation and Systems 2016; 14(4): 977-985

Published online August 4, 2016

https://doi.org/10.1007/s12555-014-0509-2

© The International Journal of Control, Automation, and Systems

Finite Frequency Fault Detection for T-S Fuzzy Singular Multiple Timedelay Systems

Ding Zhai, Li-Wei An, Jing-Hao Li, and Qing-Ling Zhang*

Northeastern University

Abstract

This paper focuses on the problem of fault detection (FD) for a class of nonlinear systems described by the T-S fuzzy singular model with multiple time delays and actuator faults. Two finite-frequency performance indices are introduced to measure fault sensitivity and disturbance robustness. To reduce the conservatism of the existing results, a finite frequency domain approach to fuzzy singular multiple time-delay systems is proposed. Then based on the approach, filter design conditions for the solvability of this problem are presented in terms of linear matrix inequalities (LMIs). Finally, simulation studies are provided to demonstrate the application of the proposed method.

Keywords Fault detection, finite frequency domain, fuzzy singular type of Lyapunov-Krasovskii function, multiple time delays, T-S fuzzy singular systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2016; 14(4): 977-985

Published online August 1, 2016 https://doi.org/10.1007/s12555-014-0509-2

Copyright © The International Journal of Control, Automation, and Systems.

Finite Frequency Fault Detection for T-S Fuzzy Singular Multiple Timedelay Systems

Ding Zhai, Li-Wei An, Jing-Hao Li, and Qing-Ling Zhang*

Northeastern University

Abstract

This paper focuses on the problem of fault detection (FD) for a class of nonlinear systems described by the T-S fuzzy singular model with multiple time delays and actuator faults. Two finite-frequency performance indices are introduced to measure fault sensitivity and disturbance robustness. To reduce the conservatism of the existing results, a finite frequency domain approach to fuzzy singular multiple time-delay systems is proposed. Then based on the approach, filter design conditions for the solvability of this problem are presented in terms of linear matrix inequalities (LMIs). Finally, simulation studies are provided to demonstrate the application of the proposed method.

Keywords: Fault detection, finite frequency domain, fuzzy singular type of Lyapunov-Krasovskii function, multiple time delays, T-S fuzzy singular systems.

IJCAS
June 2024

Vol. 22, No. 6, pp. 1761~2054

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