Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input

Aiming at the problem of fixed-time trajectory tracking control for high-order dynamic systems with external time-varying disturbance and input dead-zone, an adaptive fixed-time sliding mode control algorithm is proposed by employing a fixed-time sliding mode disturbance observer (FTSMDO) and high-o...

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Main Authors: Hongbin Wang, Bo Su, Yueling Wang, Jing Gao
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/8951382
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author Hongbin Wang
Bo Su
Yueling Wang
Jing Gao
author_facet Hongbin Wang
Bo Su
Yueling Wang
Jing Gao
author_sort Hongbin Wang
collection DOAJ
description Aiming at the problem of fixed-time trajectory tracking control for high-order dynamic systems with external time-varying disturbance and input dead-zone, an adaptive fixed-time sliding mode control algorithm is proposed by employing a fixed-time sliding mode disturbance observer (FTSMDO) and high-order fixed-time sliding mode algorithm. Firstly, a FTSMDO is presented for the problem that estimating the compound disturbance is composed of input dead-zone and time-varying external disturbance in the higher-order dynamic system, which cannot be measured accurately. Furthermore, for the case that the total disturbance of the system has an unknown upper bound, the corresponding adaptive law is designed to estimate the unknown upper bound, and the fixed-time controller is designed based on FTSMDO algorithm to make all state variables converge in a fixed-time. Based on Lyapunov technique, the fixed-time convergence performance of the proposed algorithm is proved. The effectiveness of the presented fixed-time control algorithm is verified by simulating the depth tracking control of the underactuated underwater vehicle.
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-be13c607342e454785b4d3231e743ccc2025-02-03T06:07:56ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/89513828951382Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone InputHongbin Wang0Bo Su1Yueling Wang2Jing Gao3Lab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao, ChinaLab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao, ChinaLab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao, ChinaLab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao, ChinaAiming at the problem of fixed-time trajectory tracking control for high-order dynamic systems with external time-varying disturbance and input dead-zone, an adaptive fixed-time sliding mode control algorithm is proposed by employing a fixed-time sliding mode disturbance observer (FTSMDO) and high-order fixed-time sliding mode algorithm. Firstly, a FTSMDO is presented for the problem that estimating the compound disturbance is composed of input dead-zone and time-varying external disturbance in the higher-order dynamic system, which cannot be measured accurately. Furthermore, for the case that the total disturbance of the system has an unknown upper bound, the corresponding adaptive law is designed to estimate the unknown upper bound, and the fixed-time controller is designed based on FTSMDO algorithm to make all state variables converge in a fixed-time. Based on Lyapunov technique, the fixed-time convergence performance of the proposed algorithm is proved. The effectiveness of the presented fixed-time control algorithm is verified by simulating the depth tracking control of the underactuated underwater vehicle.http://dx.doi.org/10.1155/2019/8951382
spellingShingle Hongbin Wang
Bo Su
Yueling Wang
Jing Gao
Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input
Complexity
title Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input
title_full Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input
title_fullStr Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input
title_full_unstemmed Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input
title_short Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input
title_sort adaptive sliding mode fixed time tracking control based on fixed time sliding mode disturbance observer with dead zone input
url http://dx.doi.org/10.1155/2019/8951382
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AT bosu adaptiveslidingmodefixedtimetrackingcontrolbasedonfixedtimeslidingmodedisturbanceobserverwithdeadzoneinput
AT yuelingwang adaptiveslidingmodefixedtimetrackingcontrolbasedonfixedtimeslidingmodedisturbanceobserverwithdeadzoneinput
AT jinggao adaptiveslidingmodefixedtimetrackingcontrolbasedonfixedtimeslidingmodedisturbanceobserverwithdeadzoneinput