Time Delay Estimation Control of Permanent Magnet Spherical Actuator Based on Gradient Compensation

A multi-degree-of-freedom Permanent Magnet Spherical Actuator (PMSpA) has a special mechanical structure and electromagnetic fields, and is easily affected by nonlinear disturbances such as modeling errors and friction. Therefore, the quality of a PMSpA control system may be deteriorated. In order t...

Full description

Bibliographic Details
Main Authors: Xiuqin Wang, Rui Zhang, Guoli Li, Qunjing Wang, Yan Wen
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/11/1/66
_version_ 1797499292854779904
author Xiuqin Wang
Rui Zhang
Guoli Li
Qunjing Wang
Yan Wen
author_facet Xiuqin Wang
Rui Zhang
Guoli Li
Qunjing Wang
Yan Wen
author_sort Xiuqin Wang
collection DOAJ
description A multi-degree-of-freedom Permanent Magnet Spherical Actuator (PMSpA) has a special mechanical structure and electromagnetic fields, and is easily affected by nonlinear disturbances such as modeling errors and friction. Therefore, the quality of a PMSpA control system may be deteriorated. In order to keep the PMSpA with good trajectory tracking performance, this paper designs a time delay estimation controller based on gradient compensation. Firstly, the dynamic model of the PMSpA with nonlinear terms is derived. The nonlinear terms in the complex dynamic model can be simplified and estimated by the time delay estimation method. Secondly, for the estimation errors caused by time delay control, a gradient compensator is introduced to further correct and compensate for it. Furthermore, the stability of the designed controller is proved by the Lyapunov equation. Finally, the correctness and effectiveness of the controller are validated by comparison with other controllers through simulation. In addition, experimental results have also shown that the control accuracy of the spherical motor can be effectively improved using the proposed controller.
first_indexed 2024-03-10T03:45:23Z
format Article
id doaj.art-67eb8758ed7f43a1b946e976fcc295ff
institution Directory Open Access Journal
issn 2079-9292
language English
last_indexed 2024-03-10T03:45:23Z
publishDate 2021-12-01
publisher MDPI AG
record_format Article
series Electronics
spelling doaj.art-67eb8758ed7f43a1b946e976fcc295ff2023-11-23T11:22:22ZengMDPI AGElectronics2079-92922021-12-011116610.3390/electronics11010066Time Delay Estimation Control of Permanent Magnet Spherical Actuator Based on Gradient CompensationXiuqin Wang0Rui Zhang1Guoli Li2Qunjing Wang3Yan Wen4School of Electrical Engineering and Automation, Anhui University, Hefei 230601, ChinaSchool of Electrical Engineering and Automation, Anhui University, Hefei 230601, ChinaSchool of Electrical Engineering and Automation, Anhui University, Hefei 230601, ChinaSchool of Electrical Engineering and Automation, Anhui University, Hefei 230601, ChinaAnhui Collaborative Innovation Center of Industrial Energy-Saving and Power Quality Control, Anhui University, Hefei 230601, ChinaA multi-degree-of-freedom Permanent Magnet Spherical Actuator (PMSpA) has a special mechanical structure and electromagnetic fields, and is easily affected by nonlinear disturbances such as modeling errors and friction. Therefore, the quality of a PMSpA control system may be deteriorated. In order to keep the PMSpA with good trajectory tracking performance, this paper designs a time delay estimation controller based on gradient compensation. Firstly, the dynamic model of the PMSpA with nonlinear terms is derived. The nonlinear terms in the complex dynamic model can be simplified and estimated by the time delay estimation method. Secondly, for the estimation errors caused by time delay control, a gradient compensator is introduced to further correct and compensate for it. Furthermore, the stability of the designed controller is proved by the Lyapunov equation. Finally, the correctness and effectiveness of the controller are validated by comparison with other controllers through simulation. In addition, experimental results have also shown that the control accuracy of the spherical motor can be effectively improved using the proposed controller.https://www.mdpi.com/2079-9292/11/1/66PMSpAtime delay estimationgradient compensationtrajectory tracking
spellingShingle Xiuqin Wang
Rui Zhang
Guoli Li
Qunjing Wang
Yan Wen
Time Delay Estimation Control of Permanent Magnet Spherical Actuator Based on Gradient Compensation
Electronics
PMSpA
time delay estimation
gradient compensation
trajectory tracking
title Time Delay Estimation Control of Permanent Magnet Spherical Actuator Based on Gradient Compensation
title_full Time Delay Estimation Control of Permanent Magnet Spherical Actuator Based on Gradient Compensation
title_fullStr Time Delay Estimation Control of Permanent Magnet Spherical Actuator Based on Gradient Compensation
title_full_unstemmed Time Delay Estimation Control of Permanent Magnet Spherical Actuator Based on Gradient Compensation
title_short Time Delay Estimation Control of Permanent Magnet Spherical Actuator Based on Gradient Compensation
title_sort time delay estimation control of permanent magnet spherical actuator based on gradient compensation
topic PMSpA
time delay estimation
gradient compensation
trajectory tracking
url https://www.mdpi.com/2079-9292/11/1/66
work_keys_str_mv AT xiuqinwang timedelayestimationcontrolofpermanentmagnetsphericalactuatorbasedongradientcompensation
AT ruizhang timedelayestimationcontrolofpermanentmagnetsphericalactuatorbasedongradientcompensation
AT guolili timedelayestimationcontrolofpermanentmagnetsphericalactuatorbasedongradientcompensation
AT qunjingwang timedelayestimationcontrolofpermanentmagnetsphericalactuatorbasedongradientcompensation
AT yanwen timedelayestimationcontrolofpermanentmagnetsphericalactuatorbasedongradientcompensation