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.
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March 2018
Research-Article
Adaptive Fuzzy Fractional-Order Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Nonlinear Systems
Tran Minh Duc,
Tran Minh Duc
Division of Computational Mechatronics,
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Faculty of Electrical & Electronics Engineering,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: tranminhduc@tdt.edu.vn
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: tranminhduc@tdt.edu.vn
Search for other works by this author on:
Ngo Van Hoa,
Ngo Van Hoa
Division of Computational Mathematics
and Engineering,
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
and Engineering,
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Faculty of Mathematics and Statistics,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: ngovanhoa@tdt.edu.vn
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: ngovanhoa@tdt.edu.vn
Search for other works by this author on:
Thanh-Phong Dao
Thanh-Phong Dao
Division of Computational Mechatronics,
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Faculty of Electrical & Electronics Engineering,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: daothanhphong@tdt.edu.vn
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: daothanhphong@tdt.edu.vn
Search for other works by this author on:
Tran Minh Duc
Division of Computational Mechatronics,
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Faculty of Electrical & Electronics Engineering,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: tranminhduc@tdt.edu.vn
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: tranminhduc@tdt.edu.vn
Ngo Van Hoa
Division of Computational Mathematics
and Engineering,
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
and Engineering,
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Faculty of Mathematics and Statistics,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: ngovanhoa@tdt.edu.vn
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: ngovanhoa@tdt.edu.vn
Thanh-Phong Dao
Division of Computational Mechatronics,
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Institute for Computational Science,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam;
Faculty of Electrical & Electronics Engineering,
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: daothanhphong@tdt.edu.vn
Ton Duc Thang University,
Ho Chi Minh City 700000, Vietnam
e-mail: daothanhphong@tdt.edu.vn
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received February 7, 2017; final manuscript received September 6, 2017; published online January 10, 2018. Assoc. Editor: Bernard Brogliato.
J. Comput. Nonlinear Dynam. Mar 2018, 13(3): 031004 (8 pages)
Published Online: January 10, 2018
Article history
Received:
February 7, 2017
Revised:
September 6, 2017
Citation
Duc, T. M., Van Hoa, N., and Dao, T. (January 10, 2018). "Adaptive Fuzzy Fractional-Order Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Nonlinear Systems." ASME. J. Comput. Nonlinear Dynam. March 2018; 13(3): 031004. https://doi.org/10.1115/1.4038642
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