Adaptive sliding mode fault-tolerant control for type-2 fuzzy systems with distributed delays

• Published in: Information sciences Vol. 473; pp. 227 - 238
• Main Authors: Zhao, Yue, Wang, Jiahui, Yan, Fei, Shen, Yi
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.01.2019
• Subjects: Adaptive control; Fault tolerance; Fuzzy sets; Sliding mode control; Time-delay systems; Time-delay systems; Fuzzy sets; Fault tolerance; Adaptive control; Sliding mode control
• ISSN: 0020-0255; 1872-6291
• DOI: 10.1016/j.ins.2018.09.002

In this paper, the problem of sliding-mode fault-tolerant control is addressed for a class of uncertain nonlinear systems with distributed delays and parameter perturbations. By using interval type-2 Takagi–Sugeno (T–S) fuzzy models, the nonlinear systems are formulated , of which uncertain parameters and distributed state delays are represented in a unified type-2 fuzzy framework. In order to tackle with the uncertain parameters in pre-designed membership functions, an adaptive mechanism is utilized to manage the time-varying weightings corresponding to the upper membership functions. A simple linear sliding surface subject to several solvable matrix inequalities is designed by using a reduced-order system. To guarantee the stability of the overall dynamic system, an adaptive sliding mode controller is designed, which can compensate for both uncertainties and distributed delays. Finally, a truck-trailer model system is used in simulations to verify the applicability and effectiveness of the control and estimation schemes.