Chattering free adaptive fuzzy terminal sliding mode control for second order nonlinear system

2006 ◽  
Vol 4 (4) ◽  
pp. 385-391 ◽  
Author(s):  
Jinkun Liu ◽  
Fuchun Sun
Keyword(s):  
Nonlinear System ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Second Order ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Adaptive Fuzzy ◽  
Mode Control ◽  
Chattering Free

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

2018 ◽  
Vol 13 (3) ◽  
Author(s):  
Tran Minh Duc ◽  
Ngo Van Hoa ◽  
Thanh-Phong Dao
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Adaptive Learning ◽  
Sliding Mode ◽  
Second Order ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Adaptive Fuzzy ◽  
Mode Control ◽  
Nonsingular Terminal Sliding Mode

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.

Design of a non-singular fast terminal sliding mode control for second-order nonlinear systems with compound disturbance

2021 ◽  
pp. 095440622110329
Author(s):  
Mohammad Reza Salehi Kolahi ◽  
Mohammad Reza Gharib ◽  
Ali Heydari
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Path Tracking ◽  
Second Order ◽  
Control Technique ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Compound Disturbance

This paper investigates a new disturbance observer based non-singular fast terminal sliding mode control technique for the path tracking and stabilization of non-linear second-order systems with compound disturbance. The compound disturbance is comprised of both parametric and non-parametric uncertainties. While warranting fast convergence rate and robustness, it also dominates the singularity and complex-value number issues associated with conventional terminal sliding mode control. Furthermore, due to the estimation properties of the observer, knowledge about the bounds of the uncertainties is not required. The simulation results of two case studies, the velocity and path tracking of an autonomous underwater vehicle and the stabilization of a chaotic Φ6-Duffing oscillator, validate the efficacy of the proposed method.

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