Total-Amount Synchronous Control Based on Terminal Sliding-Mode Control

This paper presents a total-amount synchronous control (TASC) strategy for nonlinear systems with uncertainty based on finite-time control theory. In combination with a new type of terminal sliding-mode control strategy, finite-time convergence of TASC is realized. First, the specific mathematical e...

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Main Authors: Changfan Zhang, Zhenzhen Lin, Simon X. Yang, Jing He
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7892965/
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author Changfan Zhang
Zhenzhen Lin
Simon X. Yang
Jing He
author_facet Changfan Zhang
Zhenzhen Lin
Simon X. Yang
Jing He
author_sort Changfan Zhang
collection DOAJ
description This paper presents a total-amount synchronous control (TASC) strategy for nonlinear systems with uncertainty based on finite-time control theory. In combination with a new type of terminal sliding-mode control strategy, finite-time convergence of TASC is realized. First, the specific mathematical expression of the system terminal sliding-mode surface is given. On the basis of this, according to the sliding-mode surface expression, the sliding-mode variable structure control laws of n regular nonlinear systems are derived, avoiding the singularity problem that can easily appear in ordinary terminal sliding-mode controllers. Meanwhile, the initial system is located on the sliding-mode surface. The approach process in sliding-mode control is eliminated, and the existence of the sliding phase is proved according to the Lyapunov stability theory. Finally, the effectiveness of the algorithm is verified by a numerical example.
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spelling doaj.art-3afcd0d93d4e450282c25bdbf4e25ff52022-12-21T23:26:41ZengIEEEIEEE Access2169-35362017-01-0155436544410.1109/ACCESS.2017.26885187892965Total-Amount Synchronous Control Based on Terminal Sliding-Mode ControlChangfan Zhang0https://orcid.org/0000-0002-9800-3984Zhenzhen Lin1Simon X. Yang2https://orcid.org/0000-0002-6888-7993Jing He3School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, ChinaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, ChinaAdvanced Robotics and Intelligent Systems Laboratory, School of Engineering, University of Guelph, ON, CanadaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, ChinaThis paper presents a total-amount synchronous control (TASC) strategy for nonlinear systems with uncertainty based on finite-time control theory. In combination with a new type of terminal sliding-mode control strategy, finite-time convergence of TASC is realized. First, the specific mathematical expression of the system terminal sliding-mode surface is given. On the basis of this, according to the sliding-mode surface expression, the sliding-mode variable structure control laws of n regular nonlinear systems are derived, avoiding the singularity problem that can easily appear in ordinary terminal sliding-mode controllers. Meanwhile, the initial system is located on the sliding-mode surface. The approach process in sliding-mode control is eliminated, and the existence of the sliding phase is proved according to the Lyapunov stability theory. Finally, the effectiveness of the algorithm is verified by a numerical example.https://ieeexplore.ieee.org/document/7892965/Finite-time convergencenonlinear systemsynchronous controlterminal sliding-mode control
spellingShingle Changfan Zhang
Zhenzhen Lin
Simon X. Yang
Jing He
Total-Amount Synchronous Control Based on Terminal Sliding-Mode Control
IEEE Access
Finite-time convergence
nonlinear system
synchronous control
terminal sliding-mode control
title Total-Amount Synchronous Control Based on Terminal Sliding-Mode Control
title_full Total-Amount Synchronous Control Based on Terminal Sliding-Mode Control
title_fullStr Total-Amount Synchronous Control Based on Terminal Sliding-Mode Control
title_full_unstemmed Total-Amount Synchronous Control Based on Terminal Sliding-Mode Control
title_short Total-Amount Synchronous Control Based on Terminal Sliding-Mode Control
title_sort total amount synchronous control based on terminal sliding mode control
topic Finite-time convergence
nonlinear system
synchronous control
terminal sliding-mode control
url https://ieeexplore.ieee.org/document/7892965/
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AT zhenzhenlin totalamountsynchronouscontrolbasedonterminalslidingmodecontrol
AT simonxyang totalamountsynchronouscontrolbasedonterminalslidingmodecontrol
AT jinghe totalamountsynchronouscontrolbasedonterminalslidingmodecontrol