Fault-Tolerant Resilient Control for Fuzzy Fractional Order Systems

Rathinasamy Sakthivel; Choon Ki Ahn; Maya Joby

doi:10.1109/TSMC.2018.2835442

Fault-Tolerant Resilient Control for Fuzzy Fractional Order Systems

Rathinasamy Sakthivel, Choon Ki Ahn, Maya Joby

Research output: Contribution to journal › Article › peer-review

80 Citations (Scopus)

Abstract

This paper investigates the problem of resilient fault-tolerant control for a class of Takagi-Sugeno fuzzy model which is described by fractional order differential equations. In particular, the system input under consideration is subject to actuator saturations, actuator faults, and nonlinearities. The main purpose of this paper is to put forward a generalized nonlinear resilient fault-tolerant controller that can make the considered system robustly asymptotically stable. Utilizing the concept of continuous frequency distribution, a new set of linear matrix inequalities, which are the sufficient conditions for robust asymptotic stability of the closed-loop system, are derived by using the indirect Lyapunov approach. Two numerical examples are included to illustrate the feasibility and effectiveness of the proposed method.

Original language	English
Article number	8368081
Pages (from-to)	1797-1805
Number of pages	9
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	49
Issue number	9
DOIs	https://doi.org/10.1109/TSMC.2018.2835442
Publication status	Published - 2019 Sept

Bibliographical note

Funding Information:
Manuscript received February 13, 2018; accepted April 30, 2018. Date of publication May 28, 2018; date of current version August 16, 2019. This work was supported by the National Research Foundation of Korea through the Ministry of Science, ICT, and Future Planning under Grant NRF-2017R1A1A1A05001325. This paper was recommended by Associate Editor H. Ying. (Corresponding authors: Rathinasamy Sakthivel; Choon Ki Ahn.) R. Sakthivel is with the Department of Mathematics, Bharathiar University, Coimbatore 641046, India, and also with the Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea (e-mail: [email protected]).

Publisher Copyright:
© 2018 IEEE.

Keywords

Actuator saturation
Takagi-Sugeno (T-S) fuzzy systems
fault-tolerant resilient control
fractional order systems

ASJC Scopus subject areas

Software
Control and Systems Engineering
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TSMC.2018.2835442

Cite this

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abstract = "This paper investigates the problem of resilient fault-tolerant control for a class of Takagi-Sugeno fuzzy model which is described by fractional order differential equations. In particular, the system input under consideration is subject to actuator saturations, actuator faults, and nonlinearities. The main purpose of this paper is to put forward a generalized nonlinear resilient fault-tolerant controller that can make the considered system robustly asymptotically stable. Utilizing the concept of continuous frequency distribution, a new set of linear matrix inequalities, which are the sufficient conditions for robust asymptotic stability of the closed-loop system, are derived by using the indirect Lyapunov approach. Two numerical examples are included to illustrate the feasibility and effectiveness of the proposed method.",

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Fault-Tolerant Resilient Control for Fuzzy Fractional Order Systems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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