Adaptive nonsingular proportional–integral–derivative-type terminal sliding mode tracker based on rapid reaching law for nonlinear systems

2020 ◽  
pp. 107754632096428
Author(s):  
Ankur Goel ◽  
Saleh Mobayen
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Terminal Sliding Mode Control ◽  
Proportional Integral Derivative ◽  
Terminal Sliding Mode ◽  
Reaching Law ◽  
Proportional Integral ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Derivative Type

This article deals with a novel adaptive robust controller for uncertain nonlinear systems relying on a proportional–integral–derivative-type nonsingular fast terminal sliding mode control. In this nonsingular proportional–integral–derivative-type terminal sliding mode controller nonsingular fast terminal sliding mode control, the nonsingular fast terminal sliding mode control sliding surface is modified with integral to match with the proportional–integral–derivative-type structure to obtain the essential attributes, namely, quick transient response, finite-time convergence, negligible steady-state error, and chattering cancellation. Furthermore, a novel rapid reaching law is also suggested with dynamic proof for providing the robustness during transient phase. The controller stability and convergence is mathematically analyzed using the Lyapunov theory. The overall control structure is simulated on MATLAB® software and tested for trajectory tracking of a two-degree-of-freedom revolute–prismatic joint industrial robotic manipulator. The rigorous test results show the performance efficacy of the innovative controller.

Self-tuning fuzzy nonsingular proportional-integral-derivative type fast terminal sliding mode control for robotic manipulator in the presence of backlash hysteresis

2021 ◽  
pp. 014233122110133
Author(s):  
Zeeshan Anjum ◽  
Hui Zhou ◽  
Yu Guo
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Terminal Sliding Mode Control ◽  
Proportional Integral Derivative ◽  
External Disturbances ◽  
Terminal Sliding Mode ◽  
Proportional Integral ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Self Tuning

The external disturbances and backlash hysteresis kind of nonlinearity present in the manipulator system can greatly affect the tracking performance of the system. In order to undo the effects of these external disturbances and backlash hysteresis, a robust controller is established based on the integration of self-tuning fuzzy nonsingular proportional-integral-derivative (PID) type fast terminal sliding mode control and time delay estimation (TDE). In this paper, TDE plays the part of estimating the unknown dynamics of the robotic manipulator and nonsingular PID type fast terminal sliding mode control in which the gains of PID are tuned using fuzzy logic system to get multiple beneficial characteristics, such as lower steady-state error, finite-time convergence and little chattering. In addition, the derivative of unknown dynamics that is considered to be bounded is dealt by utilizing the adaptive technique. Moreover, Lyapunov theorem is used to study the overall stability of the system. Finally, a comparative study in terms of trajectory tracking has been carried out between the proposed controller and other existing advanced control approaches using PUMA560 robot in order to verify the effectiveness of the proposed controller in the presence of external disturbances and bacsklash hysteresis.

A novel non-singular terminal sliding mode control combined with integral sliding surface for perturbed quadrotor

2021 ◽  
pp. 095965182110647
Author(s):  
Moussa Labbadi ◽  
Mohamed Djemai ◽  
Sahbi Boubaker
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Control Technique ◽  
Terminal Sliding Mode Control ◽  
Sliding Surface ◽  
Proportional Integral Derivative ◽  
Terminal Sliding Mode ◽  
Proportional Integral ◽  
Mode Control

In this article, a new dynamic non-singular terminal sliding mode control technique for a quadrotor system subjected to external disturbances is evaluated. The offered control approach is based on non-singular terminal sliding mode controller combined with proportional–integral–derivative sliding surface to improve the performance. The proposed controller is formulated using the Lyapunov theory which ensured the existence of the sliding mode surfaces in finite time. Furthermore, the chattering problem, caused by the switching position and attitude laws, has been reduced using the proposed controller. Moreover, a high-precision performance trajectory tracking can be obtained. The problem of the disturbances is addressed using the suggested controller. Simulation results show the feasibility and efficiency of the non-singular terminal sliding mode control-proportional–integral–derivative proposed approach.

A nonsingular fast terminal sliding mode control with an exponential reaching law for robot manipulators

2018 ◽  
Vol 233 (5) ◽  
pp. 1575-1587 ◽  
Author(s):  
Liyin Zhang ◽  
Yuxin Su ◽  
Haihong Wang
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Robot Manipulators ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Reaching Law ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Exponential Reaching Law

This paper presents an improved robust tracking control for uncertain robot manipulators. An approximate fast terminal sliding mode control is proposed by integrating a nonsingular fast terminal sliding surface with an exponential reaching law. Lyapunov stability theory is employed to prove the global approximate finite-time stability ensuring that the tracking errors converge to an arbitrary small ball centered at zero within a finite time and thereafter arrive at zero asymptotically. The benefits of this integrated design are that it can ensure faster transient and higher steady-state tracking precision with lower chattering. Simulations and experiments are presented to demonstrate the effectiveness and improved performances of the proposed approach.

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.

scholarly journals Position Tracking Control for Permanent Magnet Linear Motor via Continuous-Time Fast Terminal Sliding Mode Control

2018 ◽  
Vol 2018 ◽  
pp. 1-6 ◽  
Author(s):  
Wei Gao ◽  
Xiuping Chen ◽  
Haibo Du ◽  
Song Bai
Keyword(s):  
Sliding Mode Control ◽  
Continuous Time ◽  
Control Method ◽  
Sliding Mode ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Nonsingular Terminal Sliding Mode ◽  
Fast Terminal Sliding Mode ◽  
Permanent Magnet Linear Motor

For the position tracking control problem of permanent magnet linear motor, an improved fast continuous-time nonsingular terminal sliding mode control algorithm based on terminal sliding mode control method is proposed. Specifically, first, for the second-order model of position error dynamic system, a new continuous-time fast terminal sliding surface is introduced and an improved continuous-time fast terminal sliding mode control law is proposed. Then rigorous theoretical analysis is provided to demonstrate the finite-time stability of the closed-loop system by using the Lyapunov function. Finally, numerical simulations are given to verify the effectiveness and advantages of the proposed fast nonsingular terminal sliding mode control method.

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