Fuzzy logic systems-based integral sliding mode fault-tolerant control for a class of uncertain non-linear systems

• Published in: IET control theory & applications Vol. 10; no. 3; pp. 300 - 311
• Main Authors: Hao, Li-Ying, H. Park, Ju, Ye, Dan
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 05.02.2016
• Subjects: actuator faults; Actuators; asymptotic stability; B747‐100/200 aircraft; closed loop systems; closed‐loop system; Dynamical systems; fault detection and isolation mechanism; fault diagnosis; Fault tolerance; fault tolerant control; Faults; fuzzy logic; fuzzy logic systems; integral sliding mode fault‐tolerant control; Integrals; ISMC scheme; linear matrix inequalities; matrix decomposition; matrix full‐rank factorisation; nonlinear control systems; Nonlinear dynamics; Nonlinearity; robust control; robustness; Sliding mode; uncertain nonlinear systems; uncertain systems; variable structure systems; fault diagnosis; actuator faults; uncertain systems; fuzzy logic; uncertain nonlinear systems; robustness; matrix full-rank factorisation; matrix decomposition; asymptotic stability; fault detection and isolation mechanism; closed loop systems; actuators; linear matrix inequalities; nonlinear control systems; ISMC scheme; fuzzy logic systems; B747-100/200 aircraft; robust control; integral sliding mode fault-tolerant control; variable structure systems; closed-loop system; fault tolerant control
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2015.0716

This study proposes an integral sliding mode control (ISMC) scheme for a class of uncertain non-linear systems subject to actuator faults including outage. It is noted that traditional ISMC method cannot handle actuator outage. To tackle the problem, matrix full-rank factorisation technique and adaptive mechanism are incorporated. Based on the above technique, two novel integral sliding surfaces using construction methods I and II are then introduced and existence conditions of sliding modes are given in terms of linear matrix inequalities, in which less conservativeness and better robustness against actuator faults are obtained using construction method II than I. The fuzzy logic systems are applied to approximate the bounds of unknown non-linear functions. Furthermore, an integral sliding mode controller, without an fault detection and isolation mechanism, is synthesised to guarantee the asymptotic stability and the robustness of the closed-loop system against actuator faults and non-linearities from the every beginning. Finally, simulation results for a model of B747-100/200 aircraft confirm the effectiveness of the proposed control method.