Construction and management of smart campus: Anti-disturbance control of flexible manipulator based on PDE modeling

With the rapid development of smart campus, this paper studies the attitude tracking control of flexible manipulator (FM) in colleges and universities under elastic vibration and external disturbances. First, different from the traditional modeling based on ordinary differential equations (ODEs), th...

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Main Authors: Yunxia Wei, Yuanfei Zhang, Bin Hang
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023641?viewType=HTML
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author Yunxia Wei
Yuanfei Zhang
Bin Hang
author_facet Yunxia Wei
Yuanfei Zhang
Bin Hang
author_sort Yunxia Wei
collection DOAJ
description With the rapid development of smart campus, this paper studies the attitude tracking control of flexible manipulator (FM) in colleges and universities under elastic vibration and external disturbances. First, different from the traditional modeling based on ordinary differential equations (ODEs), the partial differential equations (PDEs) dynamic model of a manipulator system is established based on the Hamilton principle (HP). Second, the boundary control condition of the end system of the manipulator is introduced to adjust the vibration of the manipulator. Furthermore, a Proportional-Derivative (PD) boundary control (PDBC) strategy is proposed by the Lyapunov function to suppress the vibration of the manipulator. Finally, a numerical comparison simulation based on MATLAB/SIMULINK further verifies the robustness and anti-disturbance performance of the control method proposed in this paper.
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spelling doaj.art-95ed875e214b4049bd1e9ac2b27ad0782023-08-03T01:18:20ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-06-01208143271435210.3934/mbe.2023641Construction and management of smart campus: Anti-disturbance control of flexible manipulator based on PDE modelingYunxia Wei 0Yuanfei Zhang 1Bin Hang 21. Wuxi Vocational College of Science and Technology, Jiangsu, Wuxi 214028, China2. MEMSIC Semiconductor (Wuxi) Co., Ltd3. School of Automation, Northwestern Polytechnical University, Shaanxi, Xi'an 710072, ChinaWith the rapid development of smart campus, this paper studies the attitude tracking control of flexible manipulator (FM) in colleges and universities under elastic vibration and external disturbances. First, different from the traditional modeling based on ordinary differential equations (ODEs), the partial differential equations (PDEs) dynamic model of a manipulator system is established based on the Hamilton principle (HP). Second, the boundary control condition of the end system of the manipulator is introduced to adjust the vibration of the manipulator. Furthermore, a Proportional-Derivative (PD) boundary control (PDBC) strategy is proposed by the Lyapunov function to suppress the vibration of the manipulator. Finally, a numerical comparison simulation based on MATLAB/SIMULINK further verifies the robustness and anti-disturbance performance of the control method proposed in this paper.https://www.aimspress.com/article/doi/10.3934/mbe.2023641?viewType=HTMLflexible manipulatorhamilton principlepartial differential equationsboundary control
spellingShingle Yunxia Wei
Yuanfei Zhang
Bin Hang
Construction and management of smart campus: Anti-disturbance control of flexible manipulator based on PDE modeling
Mathematical Biosciences and Engineering
flexible manipulator
hamilton principle
partial differential equations
boundary control
title Construction and management of smart campus: Anti-disturbance control of flexible manipulator based on PDE modeling
title_full Construction and management of smart campus: Anti-disturbance control of flexible manipulator based on PDE modeling
title_fullStr Construction and management of smart campus: Anti-disturbance control of flexible manipulator based on PDE modeling
title_full_unstemmed Construction and management of smart campus: Anti-disturbance control of flexible manipulator based on PDE modeling
title_short Construction and management of smart campus: Anti-disturbance control of flexible manipulator based on PDE modeling
title_sort construction and management of smart campus anti disturbance control of flexible manipulator based on pde modeling
topic flexible manipulator
hamilton principle
partial differential equations
boundary control
url https://www.aimspress.com/article/doi/10.3934/mbe.2023641?viewType=HTML
work_keys_str_mv AT yunxiawei constructionandmanagementofsmartcampusantidisturbancecontrolofflexiblemanipulatorbasedonpdemodeling
AT yuanfeizhang constructionandmanagementofsmartcampusantidisturbancecontrolofflexiblemanipulatorbasedonpdemodeling
AT binhang constructionandmanagementofsmartcampusantidisturbancecontrolofflexiblemanipulatorbasedonpdemodeling