Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter

The design problem of a discrete controller with time delay and acceleration feedback for a single-link flexible manipulator system is addressed in this paper. The dynamical model of a single-link flexible manipulator system is presented by the adoption of the finite element method and Lagrange’s eq...

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Autores principales: Yuming Huang, Weidong Chen, Minqiang Shao
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Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/f3a472a7cfe24b6e8b61acf39d8aeea4
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spelling oai:doaj.org-article:f3a472a7cfe24b6e8b61acf39d8aeea42021-11-22T01:11:34ZTime-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter1875-920310.1155/2021/6699145https://doaj.org/article/f3a472a7cfe24b6e8b61acf39d8aeea42021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/6699145https://doaj.org/toc/1875-9203The design problem of a discrete controller with time delay and acceleration feedback for a single-link flexible manipulator system is addressed in this paper. The dynamical model of a single-link flexible manipulator system is presented by the adoption of the finite element method and Lagrange’s equation. Based on the random-walk process and the discrete reduction method, an augmented discretized delay-free state derivate space equation containing the random noise is established. An acceleration-based Kalman filtering method is developed in order to estimate the system state and external excitation necessary for the controller design. In light of the estimated augmented states, a hybrid controller that combines a feedback control algorithm and a feedforward control algorithm is designed according to optimal control theory and Moore–Penrose theory. Numerical simulation results show that the proposed controller can damp out the vibration response of the flexible manipulator system effectively upon external excitations. Moreover, it is further revealed that the control performance of the presented method can be improved by adding the time delay appropriately.Yuming HuangWeidong ChenMinqiang ShaoHindawi LimitedarticlePhysicsQC1-999ENShock and Vibration, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Yuming Huang
Weidong Chen
Minqiang Shao
Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter
description The design problem of a discrete controller with time delay and acceleration feedback for a single-link flexible manipulator system is addressed in this paper. The dynamical model of a single-link flexible manipulator system is presented by the adoption of the finite element method and Lagrange’s equation. Based on the random-walk process and the discrete reduction method, an augmented discretized delay-free state derivate space equation containing the random noise is established. An acceleration-based Kalman filtering method is developed in order to estimate the system state and external excitation necessary for the controller design. In light of the estimated augmented states, a hybrid controller that combines a feedback control algorithm and a feedforward control algorithm is designed according to optimal control theory and Moore–Penrose theory. Numerical simulation results show that the proposed controller can damp out the vibration response of the flexible manipulator system effectively upon external excitations. Moreover, it is further revealed that the control performance of the presented method can be improved by adding the time delay appropriately.
format article
author Yuming Huang
Weidong Chen
Minqiang Shao
author_facet Yuming Huang
Weidong Chen
Minqiang Shao
author_sort Yuming Huang
title Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter
title_short Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter
title_full Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter
title_fullStr Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter
title_full_unstemmed Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter
title_sort time-delayed acceleration feedback control of a single-link flexible manipulator using kalman filter
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/f3a472a7cfe24b6e8b61acf39d8aeea4
work_keys_str_mv AT yuminghuang timedelayedaccelerationfeedbackcontrolofasinglelinkflexiblemanipulatorusingkalmanfilter
AT weidongchen timedelayedaccelerationfeedbackcontrolofasinglelinkflexiblemanipulatorusingkalmanfilter
AT minqiangshao timedelayedaccelerationfeedbackcontrolofasinglelinkflexiblemanipulatorusingkalmanfilter
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