TY - JOUR
T1 - Fault-Tolerant Resilient Control for Fuzzy Fractional Order Systems
AU - Sakthivel, Rathinasamy
AU - Ahn, Choon Ki
AU - Joby, Maya
N1 - 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: krsakthivel@yahoo.com).
Publisher Copyright:
© 2018 IEEE.
PY - 2019/9
Y1 - 2019/9
N2 - 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.
AB - 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.
KW - Actuator saturation
KW - Takagi-Sugeno (T-S) fuzzy systems
KW - fault-tolerant resilient control
KW - fractional order systems
UR - http://www.scopus.com/inward/record.url?scp=85047620940&partnerID=8YFLogxK
U2 - 10.1109/TSMC.2018.2835442
DO - 10.1109/TSMC.2018.2835442
M3 - Article
AN - SCOPUS:85047620940
VL - 49
SP - 1797
EP - 1805
JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems
JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems
SN - 2168-2216
IS - 9
M1 - 8368081
ER -