Observer-Based Adaptive Prescribed- Time <italic>H</italic><sub>&#x221E;</sub> Coordinated Control for Multiple Robot Manipulators With Prescribed Performance and Input Quantization

In this paper, a prescribed-time adaptive <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> cooperative strategy with novel prescribed performance and input quantization based on a leader state observer is proposed for uncertain...

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Main Authors: Weichen Li, Haitao Liu, Xuehong Tian
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10433474/
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author Weichen Li
Haitao Liu
Xuehong Tian
author_facet Weichen Li
Haitao Liu
Xuehong Tian
author_sort Weichen Li
collection DOAJ
description In this paper, a prescribed-time adaptive <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> cooperative strategy with novel prescribed performance and input quantization based on a leader state observer is proposed for uncertain multiple robot manipulators. First, a novel prescribed performance function is introduced into the asymmetric log-type barrier Lyapunov function, which can limit angle errors and reduce the loss of communication resources among multiple robot manipulators. Second, a new prescribed-time leader state estimation observer is proposed to estimate the leader&#x2019;s state information and pass it to the other followers without acceleration information. Third, a prescribed-time adaptive command filter is designed to solve the &#x201C;explosion of the complexity&#x201D; problem and improves the convergence performance of the control system. Fourth, an adaptive prescribed-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> cooperative controller with novel prescribed performance and input quantization is designed. Finally, simulation examples are presented to evaluate the stability of the proposed control system.
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spelling doaj.art-3442904981f340afaa436f88dbab60582024-02-24T00:00:20ZengIEEEIEEE Access2169-35362024-01-0112258202583410.1109/ACCESS.2024.336554210433474Observer-Based Adaptive Prescribed- Time <italic>H</italic><sub>&#x221E;</sub> Coordinated Control for Multiple Robot Manipulators With Prescribed Performance and Input QuantizationWeichen Li0https://orcid.org/0009-0007-4785-9698Haitao Liu1https://orcid.org/0000-0003-0995-4655Xuehong Tian2https://orcid.org/0000-0003-0995-4655School of Mechanical Engineering, Guangdong Ocean University, Zhanjiang, ChinaSchool of Mechanical Engineering, Guangdong Ocean University, Zhanjiang, ChinaSchool of Mechanical Engineering, Guangdong Ocean University, Zhanjiang, ChinaIn this paper, a prescribed-time adaptive <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> cooperative strategy with novel prescribed performance and input quantization based on a leader state observer is proposed for uncertain multiple robot manipulators. First, a novel prescribed performance function is introduced into the asymmetric log-type barrier Lyapunov function, which can limit angle errors and reduce the loss of communication resources among multiple robot manipulators. Second, a new prescribed-time leader state estimation observer is proposed to estimate the leader&#x2019;s state information and pass it to the other followers without acceleration information. Third, a prescribed-time adaptive command filter is designed to solve the &#x201C;explosion of the complexity&#x201D; problem and improves the convergence performance of the control system. Fourth, an adaptive prescribed-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> cooperative controller with novel prescribed performance and input quantization is designed. Finally, simulation examples are presented to evaluate the stability of the proposed control system.https://ieeexplore.ieee.org/document/10433474/Prescribed-time H∞ controlnovel prescribed performanceasymmetric log-type barrier Lyapunov functionprescribed-time leader state estimation observerprescribed-time adaptive command filtermultiple robot manipulators
spellingShingle Weichen Li
Haitao Liu
Xuehong Tian
Observer-Based Adaptive Prescribed- Time <italic>H</italic><sub>&#x221E;</sub> Coordinated Control for Multiple Robot Manipulators With Prescribed Performance and Input Quantization
IEEE Access
Prescribed-time H∞ control
novel prescribed performance
asymmetric log-type barrier Lyapunov function
prescribed-time leader state estimation observer
prescribed-time adaptive command filter
multiple robot manipulators
title Observer-Based Adaptive Prescribed- Time <italic>H</italic><sub>&#x221E;</sub> Coordinated Control for Multiple Robot Manipulators With Prescribed Performance and Input Quantization
title_full Observer-Based Adaptive Prescribed- Time <italic>H</italic><sub>&#x221E;</sub> Coordinated Control for Multiple Robot Manipulators With Prescribed Performance and Input Quantization
title_fullStr Observer-Based Adaptive Prescribed- Time <italic>H</italic><sub>&#x221E;</sub> Coordinated Control for Multiple Robot Manipulators With Prescribed Performance and Input Quantization
title_full_unstemmed Observer-Based Adaptive Prescribed- Time <italic>H</italic><sub>&#x221E;</sub> Coordinated Control for Multiple Robot Manipulators With Prescribed Performance and Input Quantization
title_short Observer-Based Adaptive Prescribed- Time <italic>H</italic><sub>&#x221E;</sub> Coordinated Control for Multiple Robot Manipulators With Prescribed Performance and Input Quantization
title_sort observer based adaptive prescribed time italic h italic sub x221e sub coordinated control for multiple robot manipulators with prescribed performance and input quantization
topic Prescribed-time H∞ control
novel prescribed performance
asymmetric log-type barrier Lyapunov function
prescribed-time leader state estimation observer
prescribed-time adaptive command filter
multiple robot manipulators
url https://ieeexplore.ieee.org/document/10433474/
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AT xuehongtian observerbasedadaptiveprescribedtimeitalichitalicsubx221esubcoordinatedcontrolformultiplerobotmanipulatorswithprescribedperformanceandinputquantization