Fast finite-time tracking control for the mechanical system and its application to spacecraft rendezvous system

Kai Zhang; Guang Ren Duan

doi:10.7641/CTA.2018.70790

Fast finite-time tracking control for the mechanical system and its application to spacecraft rendezvous system

Kai Zhang
, Guang Ren Duan^*

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This paper investigates the fast finite-time tracking control problem for a class of second-order mechanical system with matched disturbance. By employing the finite-time backstepping design approach and nonsingular fast terminal sliding mode (NFTSM) concept, a new form of fast finite-time control (FFTC) approach is proposed and the sufficient conditions of the controller parameters are given, which can guarantee the fast finite-time stability (FFTS). Furthermore, the FFTC law can be reduced to the classical backstepping control (BSC) law, finite-time control (FTC) law and NFTSM control (NFTSMC) law in the particular situations, which validates the completeness of the work. The simulation results of the application to spacecraft rendezvous system have demonstrated the effectiveness of the proposed approach.

Translated title of the contribution	机械系统的快速有限时间跟踪控制及其在航天器交会中的应用
Original language	English
Pages (from-to)	87-95
Number of pages	9
Journal	Kongzhi Lilun Yu Yingyong/Control Theory and Applications
Volume	36
Issue number	1
DOIs	https://doi.org/10.7641/CTA.2018.70790
State	Published - 1 Jan 2019

Keywords

Backstepping design method
Fast finite-time control
Mechanical system
Reference trajectory tracking

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AU - Duan, Guang Ren

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AB - This paper investigates the fast finite-time tracking control problem for a class of second-order mechanical system with matched disturbance. By employing the finite-time backstepping design approach and nonsingular fast terminal sliding mode (NFTSM) concept, a new form of fast finite-time control (FFTC) approach is proposed and the sufficient conditions of the controller parameters are given, which can guarantee the fast finite-time stability (FFTS). Furthermore, the FFTC law can be reduced to the classical backstepping control (BSC) law, finite-time control (FTC) law and NFTSM control (NFTSMC) law in the particular situations, which validates the completeness of the work. The simulation results of the application to spacecraft rendezvous system have demonstrated the effectiveness of the proposed approach.

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KW - Reference trajectory tracking

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Fast finite-time tracking control for the mechanical system and its application to spacecraft rendezvous system

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