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research-article

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

[+] Author and Article Information
Minh-Duc Tran

Division of Computational Mechatronics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
tranminhduc@tdt.edu.vn

Hoa Ngo Van

Division of Computational, Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
ngovanhoa@tdt.edu.vn

Thanh-Phong Dao

Division of Computational Mechatronics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
daothanhphong@tdt.edu.vn

1Corresponding author.

ASME doi:10.1115/1.4038642 History: Received February 07, 2017; Revised September 06, 2017

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 nonsingular terminal sliding mode 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.

Copyright (c) 2017 by ASME
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