Adaptive Fuzzy Fractional-Order Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Nonlinear Systems-Reference-Cited by-同舟云学术

Adaptive Fuzzy Fractional-Order Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Nonlinear Systems

Published:2018-01-10 Issue:3 Volume:13 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Duc Tran Minh¹²,Van Hoa Ngo³⁴,Dao Thanh-Phong¹²

Affiliation:

1. Division of Computational Mechatronics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam;

2. Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam e-mail:

3. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam;

4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam e-mail:

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.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4038642/6110891/cnd_013_03_031004.pdf

Reference36 articles.

1. Arimoto, S., 1984, “Stability and Robustness of PID Feedback Control for Robot Manipulators of Sensory Capability,” First International Symposium on Robotics Research, Bretton Woods, NH, Aug. 25–Sept. 2, pp. 783–799.

2. Survey of Robust Control for Rigid Robots;IEEE Control Syst.,1991

3. On the Robust Control of Robot Manipulators;IEEE Trans. Automatic Control,1992

4. Ortega, R., and Spong, M. W., 1988, “Adaptive Motion Control of Rigid Robots: A Tutorial,” 27th IEEE Conference on Decision and Control (CDC), Austin, TX, Dec. 7–9, pp. 1575–1584.10.1109/CDC.1988.194594

5. On the Adaptive Control of Robot Manipulators;Int. J. Rob. Res.,1987

Cited by 31 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractional Order Dynamic Super-twisting Terminal Sliding Mode Tracking Control for Linear Motor;2023 IEEE 4th China International Youth Conference On Electrical Engineering (CIYCEE);2023-12-08

2. Gear injury equilibrium-oriented self-adjusted shifting strategy and advanced servo control;Mechanical Sciences;2023-11-20

3. Discrete-Time Adaptive Fractional Nonlinear Control Using Fuzzy Rules Emulating Networks;Journal of Computational and Nonlinear Dynamics;2023-04-17

4. Dynamic Fractional-Order Nonsingular Terminal Super-Twisting Sliding Mode Control for a Low-Cost Humanoid Manipulator;Electronics;2022-11-11

5. Hyers–Ulam stability for boundary value problem of fractional differential equations with κ‐Caputo fractional derivative;Mathematical Methods in the Applied Sciences;2022-06-30