Funnel function‐based asymptotic output feedback control of hydraulic systems with prescribed performance

Abstract An asymptotic output feedback controller for the hydraulic systems with model uncertainty compensation and prescribed performance is proposed here, where state observers, funnel function and nonlinear adaptive controller are integrated via backstepping technology. Only position signal is av...

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Main Authors: Zhangbao Xu, Yudong Wang, Hao Shen, Qingyun Liu, Jianyong Yao
Format: Article
Language:English
Published: Wiley 2021-12-01
Series:IET Control Theory & Applications
Subjects:
Online Access:https://doi.org/10.1049/cth2.12192
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author Zhangbao Xu
Yudong Wang
Hao Shen
Qingyun Liu
Jianyong Yao
author_facet Zhangbao Xu
Yudong Wang
Hao Shen
Qingyun Liu
Jianyong Yao
author_sort Zhangbao Xu
collection DOAJ
description Abstract An asymptotic output feedback controller for the hydraulic systems with model uncertainty compensation and prescribed performance is proposed here, where state observers, funnel function and nonlinear adaptive controller are integrated via backstepping technology. Only position signal is available in the process of controller design, the velocity and load pressure are estimated by observers. And, the adaptive control law is carried out to approximate disturbance. Then, a funnel function is introduced to guarantee the prescribed tracking error performance and the potential singularity problem in prescribed performance control is avoided. Furthermore, the whole closed system is proved to be asymptotically stable using Lyapunov method. Comparative experimental results performed on hydraulic systems are studied to illustrate the effectiveness of the proposed controller.
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spelling doaj.art-351f718e828b489cafe7bc77843d15352022-12-22T04:30:51ZengWileyIET Control Theory & Applications1751-86441751-86522021-12-0115182271228510.1049/cth2.12192Funnel function‐based asymptotic output feedback control of hydraulic systems with prescribed performanceZhangbao Xu0Yudong Wang1Hao Shen2Qingyun Liu3Jianyong Yao4School of Mechanical Engineering Anhui University of Technology Maanshan ChinaSchool of Metallurgy Engineering Anhui University of Technology Maanshan ChinaSchool of Electrical and Information Engineering Anhui University of Technology Maanshan ChinaSchool of Mechanical Engineering Anhui University of Technology Maanshan ChinaSchool of Mechanical Engineering Nanjing University of Science and Technology Nanjing ChinaAbstract An asymptotic output feedback controller for the hydraulic systems with model uncertainty compensation and prescribed performance is proposed here, where state observers, funnel function and nonlinear adaptive controller are integrated via backstepping technology. Only position signal is available in the process of controller design, the velocity and load pressure are estimated by observers. And, the adaptive control law is carried out to approximate disturbance. Then, a funnel function is introduced to guarantee the prescribed tracking error performance and the potential singularity problem in prescribed performance control is avoided. Furthermore, the whole closed system is proved to be asymptotically stable using Lyapunov method. Comparative experimental results performed on hydraulic systems are studied to illustrate the effectiveness of the proposed controller.https://doi.org/10.1049/cth2.12192Spatial variables controlControl system analysis and synthesis methodsStability in control theorySelf-adjusting control systemsNonlinear control systems
spellingShingle Zhangbao Xu
Yudong Wang
Hao Shen
Qingyun Liu
Jianyong Yao
Funnel function‐based asymptotic output feedback control of hydraulic systems with prescribed performance
IET Control Theory & Applications
Spatial variables control
Control system analysis and synthesis methods
Stability in control theory
Self-adjusting control systems
Nonlinear control systems
title Funnel function‐based asymptotic output feedback control of hydraulic systems with prescribed performance
title_full Funnel function‐based asymptotic output feedback control of hydraulic systems with prescribed performance
title_fullStr Funnel function‐based asymptotic output feedback control of hydraulic systems with prescribed performance
title_full_unstemmed Funnel function‐based asymptotic output feedback control of hydraulic systems with prescribed performance
title_short Funnel function‐based asymptotic output feedback control of hydraulic systems with prescribed performance
title_sort funnel function based asymptotic output feedback control of hydraulic systems with prescribed performance
topic Spatial variables control
Control system analysis and synthesis methods
Stability in control theory
Self-adjusting control systems
Nonlinear control systems
url https://doi.org/10.1049/cth2.12192
work_keys_str_mv AT zhangbaoxu funnelfunctionbasedasymptoticoutputfeedbackcontrolofhydraulicsystemswithprescribedperformance
AT yudongwang funnelfunctionbasedasymptoticoutputfeedbackcontrolofhydraulicsystemswithprescribedperformance
AT haoshen funnelfunctionbasedasymptoticoutputfeedbackcontrolofhydraulicsystemswithprescribedperformance
AT qingyunliu funnelfunctionbasedasymptoticoutputfeedbackcontrolofhydraulicsystemswithprescribedperformance
AT jianyongyao funnelfunctionbasedasymptoticoutputfeedbackcontrolofhydraulicsystemswithprescribedperformance