scholarly journals A Novel Global Fast Terminal Sliding Mode Control Scheme for Second-Order Systems

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 22758-22769 ◽  
Author(s):  
Huihui Pan ◽  
Guangming Zhang ◽  
Huimin Ouyang ◽  
Lei Mei
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Second Order ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Control Scheme ◽  
Fast Terminal Sliding Mode ◽  
Second Order Systems

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.

Flexible air-breathing hypersonic vehicle control based on a novel non-singular fast terminal sliding mode control and nonlinear disturbance observer

2016 ◽  
Vol 231 (11) ◽  
pp. 2132-2145 ◽  
Author(s):  
Xiaoqian Yang ◽  
Jian Li ◽  
Yi Dong
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Hypersonic Vehicle ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Nonlinear Disturbance Observer ◽  
Mode Control ◽  
Control Scheme ◽  
Fast Terminal Sliding Mode ◽  
Nonlinear Disturbance

A new control scheme for flexible air-breathing hypersonic vehicle is designed in this paper based on non-singular fast terminal sliding mode control and nonlinear disturbance observer. The proposed control scheme is derived from basic back-stepping method, which is capable of handling the higher-order nonlinear system, and a novel terminal sliding mode control method is designed for the last step to promise the finite time convergence and improve the steady-state precision. Meanwhile, a command filter is used to avoid the “explosion of complexity” in traditional back-stepping method. To overcome inevitable uncertainties as well as cross couplings between flexible and rigid modes, NDO is introduced to estimate diverse uncertainties. Thus flexible modes and uncertainties can be suppressed simultaneously. The convergence of overall closed-loop system states is proved via Lyapunov analysis. Numerical simulations show the effectiveness and advantages of the proposed control strategy.

scholarly journals Novel Nonsingular Fast Terminal Sliding Mode Control for a Class of Second-Order Uncertain Nonlinear Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Huihui Pan ◽  
Guangming Zhang
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Second Order ◽  
Terminal Sliding Mode Control ◽  
Uncertain Nonlinear Systems ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Fast Terminal Sliding Mode

This paper presents a novel nonsingular fast terminal sliding mode control scheme for a class of second-order uncertain nonlinear systems. First, a novel nonsingular fast terminal sliding mode manifold (NNFTSM) with adaptive coefficients is put forward, and a novel double power reaching law (NDP) with dynamic exponential power terms is presented. Afterwards, a novel nonsingular fast terminal sliding mode (NNFTSMNDP) controller is designed by employing NNFTSM and NDP, which can improve the convergence rate and the robustness of the system. Due to the existence of external disturbances and parameter uncertainties, the system states under controller NNFTSMNDP cannot converge to the equilibrium but only to the neighborhood of the equilibrium in finite time. Considering the unsatisfying performance of controller NNFTSMNDP, an adaptive disturbance observer (ADO) is employed to estimate the lumped disturbance that is compensated in the controller in real-time. A novel composite controller is presented by combining the NNFTSMNDP method with the ADO technique. The finite-time stability of the closed-loop system under the proposed control method is proven by virtue of the Lyapunov stability theory. Both simulation results and theoretical analysis illustrate that the proposed method shows excellent control performance in the existence of disturbances and uncertainties.

Second-order fast terminal sliding mode control design based on LMI for a class of non-linear uncertain systems and its application to chaotic systems

2016 ◽  
Vol 23 (18) ◽  
pp. 2912-2925 ◽  
Author(s):  
Saleh Mobayen ◽  
Dumitru Baleanu ◽  
Fairouz Tchier
Keyword(s):  
Sliding Mode Control ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Second Order ◽  
Control Technique ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Non Linear

In this paper, an linear matrix inequalities (LMI)-based second-order fast terminal sliding mode control technique is investigated for the tracking problem of a class of non-linear uncertain systems with matched and mismatched uncertainties. Using the offered approach, a robust chattering-free control scheme is presented to prove the presence of the switching around the sliding surface in the finite time. Based on the Lyapunov stability theorem, the LMI conditions are presented to make the state errors into predictable bounds and the parameters of the controller are obtained in the form of LMI. The control structure is independent of the order of the model. Then, the proposed method is fairly simple and there is no difficulty in the use of this scheme. Simulations on the well-known Genesio's chaotic system and Chua's circuit system are employed to emphasize the success of the suggested scheme. The simulation results on the Genesio's system demonstrate that the offered technique leads to the superior improvement on the control effort and tracking performance.

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