Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input

This paper develops an adaptive output feedback control for a class of functional constraint systems with unmeasurable states and unknown dead zone input. The constraint is a series of functions closely linked to state variables and time, which is not achieved in current research results and is more...

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Main Authors: Tianqi Yu, Lei Liu, Yan-Jun Liu
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023123?viewType=HTML
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author Tianqi Yu
Lei Liu
Yan-Jun Liu
author_facet Tianqi Yu
Lei Liu
Yan-Jun Liu
author_sort Tianqi Yu
collection DOAJ
description This paper develops an adaptive output feedback control for a class of functional constraint systems with unmeasurable states and unknown dead zone input. The constraint is a series of functions closely linked to state variables and time, which is not achieved in current research results and is more general in practical systems. Furthermore, a fuzzy approximator based adaptive backstepping algorithm is designed and an adaptive state observer with time-varying functional constraints (TFC) is constructed to estimate the unmeasurable states of the control system. Relying on the relevant knowledge of dead zone slopes, the issue of non-smooth dead-zone input is successfully solved. The time-varying integral barrier Lyapunov functions (iBLFs) are employed to guarantee that the states of the system remain within the constraint interval. By Lyapunov stability theory, the adopted control approach can ensure the stability of the system. Finally, the feasibility of the considered method is conformed via a simulation experiment.
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spelling doaj.art-db658412657e45e3aaa43d47d74bf7ed2023-01-30T01:23:03ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-012022628265010.3934/mbe.2023123Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone inputTianqi Yu 0Lei Liu 1Yan-Jun Liu2College of Science, Liaoning University of Technology, Jinzhou 121001, ChinaCollege of Science, Liaoning University of Technology, Jinzhou 121001, ChinaCollege of Science, Liaoning University of Technology, Jinzhou 121001, ChinaThis paper develops an adaptive output feedback control for a class of functional constraint systems with unmeasurable states and unknown dead zone input. The constraint is a series of functions closely linked to state variables and time, which is not achieved in current research results and is more general in practical systems. Furthermore, a fuzzy approximator based adaptive backstepping algorithm is designed and an adaptive state observer with time-varying functional constraints (TFC) is constructed to estimate the unmeasurable states of the control system. Relying on the relevant knowledge of dead zone slopes, the issue of non-smooth dead-zone input is successfully solved. The time-varying integral barrier Lyapunov functions (iBLFs) are employed to guarantee that the states of the system remain within the constraint interval. By Lyapunov stability theory, the adopted control approach can ensure the stability of the system. Finally, the feasibility of the considered method is conformed via a simulation experiment.https://www.aimspress.com/article/doi/10.3934/mbe.2023123?viewType=HTMLfuzzy state observertime-varying functional constraints (tfc)dead-zone inputadaptive fuzzy controlbackstepping algorithm
spellingShingle Tianqi Yu
Lei Liu
Yan-Jun Liu
Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input
Mathematical Biosciences and Engineering
fuzzy state observer
time-varying functional constraints (tfc)
dead-zone input
adaptive fuzzy control
backstepping algorithm
title Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input
title_full Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input
title_fullStr Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input
title_full_unstemmed Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input
title_short Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input
title_sort observer based adaptive fuzzy output feedback control for functional constraint systems with dead zone input
topic fuzzy state observer
time-varying functional constraints (tfc)
dead-zone input
adaptive fuzzy control
backstepping algorithm
url https://www.aimspress.com/article/doi/10.3934/mbe.2023123?viewType=HTML
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AT leiliu observerbasedadaptivefuzzyoutputfeedbackcontrolforfunctionalconstraintsystemswithdeadzoneinput
AT yanjunliu observerbasedadaptivefuzzyoutputfeedbackcontrolforfunctionalconstraintsystemswithdeadzoneinput