Fault‐tolerant SMC for Takagi–Sugeno fuzzy systems with time‐varying delay and actuator saturation. Issue 8 (1st May 2017)

• Record Type: Journal Article
• Authors: Selvaraj, Palanisamy; Kaviarasan, Boomipalagan; Sakthivel, Rathinasamy; Karimi, Hamid Reza
• Is Part Of: IET control theory & applications. Volume 11:Issue 8(2017)
• Page Start: 1112
• Page End: 1123
• Publication Date: 2017-05-01
• Subjects: variable structure systems -- fault tolerant control -- fuzzy control -- fuzzy systems -- time‐varying systems -- delay systems -- actuators -- control system synthesis -- linear matrix inequalities -- asymptotic stability -- closed loop systems -- reachability analysis -- Lyapunov methods; fault‐tolerant SMC -- Takagi–Sugeno fuzzy systems -- time‐varying delay -- actuator saturation -- fault‐tolerant sliding mode control design -- external disturbances -- actuator fault matrix -- sliding surface function -- system trajectories -- SM surface -- Lyapunov stability -- sufficient conditions -- linear matrix inequalities -- LMI -- asymptotic stability -- passivity -- closed‐loop system -- performance constraints -- gain matrix -- sliding surface reachability; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2016.0845
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : This study examines the problem of fault‐tolerant sliding mode control (SMC) design subject to actuator saturation for a class of Takagi–Sugeno fuzzy systems with time‐varying delay and external disturbances. Our main attention is to propose the fault‐tolerant SMC such that for given any initial condition, the system trajectories are forced to reach the sliding surface within a finite time. On the basis of the SM surface and Lyapunov stability theorem, a new set of sufficient conditions in terms of linear matrix inequalities (LMIs) is established to not only guarantee the passivity and asymptotically stability of the resulting closed‐loop system in the designed sliding surface, but also cover the issues of actuator saturation and performance constraints. Then, the desired gain matrix of the fault‐tolerant SMC is obtained in respect of the previously established LMIs such that the reachability of the predefined sliding surface is ensured. It is worth pointing out that the obtained sufficient conditions can preserve the trade‐off between the maximisation of admissible upper bound of time‐varying delay and enlarging the estimation about the domain of attraction for the closed‐loop system. Eventually, the effectiveness and robustness of the proposed control approach are demonstrated via simulation results.