Fault-Tolerant Resilient Control For Fuzzy Fractional Order Systems

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 49; no. 9; pp. 1797 - 1805
• Main Authors: Sakthivel, Rathinasamy, Ahn, Choon Ki, Joby, Maya
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuator saturation; Actuators; Asymptotic properties; Asymptotic stability; Control design; Differential equations; Fault tolerance; Fault tolerant systems; fault-tolerant resilient control; Feedback control; fractional order systems; Frequency distribution; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Mathematical analysis; Matrix methods; Nonlinear control; Robustness (mathematics); Stability analysis; Takagi–Sugeno (T–S) fuzzy systems
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2018.2835442

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.