Adaptive Backstepping Hybrid Fuzzy Sliding Mode Control for Uncertain Fractional-Order Nonlinear Systems Based on Finite-Time Scheme

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 50; no. 4; pp. 1559 - 1569
• Main Authors: Song, Shuai, Zhang, Baoyong, Xia, Jianwei, Zhang, Zhengqiang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Adaptive systems; Artificial neural networks; Backstepping; backstepping control; Control stability; Control systems design; Feedback control; fractional-order nonlinear systems; Fuzzy control; Fuzzy logic; Fuzzy neural networks; Fuzzy systems; neuro-fuzzy networks; Nonlinear control; Nonlinear systems; Sliding mode control; sliding mode control (SMC); Stability analysis; Subsystems; Surface stability; Uncertainty; Upper bound
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2018.2877042

A fractional-order integral fuzzy sliding mode control scheme is proposed for a class of uncertain fractional-order nonlinear systems subject to uncertainties and external disturbances. First, in each step, a neuro-fuzzy network system is developed to approximate the uncertain nonlinear function existing in fractional-subsystem and a fractional sliding mode surface is presented. Second, based on the fractional Lyapunov stability theory and the finite-time stability theory, a fractional adaptive backstepping neuro-fuzzy sliding mode controller is designed to drive the state trajectories of fractional-order systems to the prescribed sliding mode surface. Meanwhile, the finite-time stability of the fractional-order closed-loop system is proved. At last, three numerical examples are given to illustrate the effectiveness of the proposed control method.