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Adaptive fuzzy fractional-order nonsingular terminal sliding mode control for a class of second-order nonlinear systems

Authors: 

Tran Minh Duc, Ngo Van Hoa*, Thanh-Phong Dao

Source title: 
Journal of Computational and Nonlinear Dynamics, 13(3): 031004, 8 pages, 2018 (ISI)
Academic year of acceptance: 
2017-2018
Abstract: 

This paper investigates a novel adaptive fuzzy fractional-order nonsingular terminal sliding mode controller (AFFO-NTSMC) for second-order nonlinear dynamic systems. The technique of fractional calculus and nonsingular terminal sliding mode control (NTSMC) are combined to establish fractional-order NTSMC (FO-NTSMC), in which a new fractional-order (FO) nonsingular terminal sliding mode (NTSM) surface is proposed. Then, a corresponding controller is designed to provide robustness, high performance control, finite time convergence in the presence of uncertainties and external disturbances. Furthermore, a fuzzy system with online adaptive learning algorithm is derived to eliminate the chattering phenomenon in conventional sliding mode control (SMC). The stability of the closed-loop system is rigorously proven. Numerical simulation results are presented to demonstrate the effectiveness of the proposed control method.