Permanent-Magnet SLM Drive System Using AMRRSPNNB Control System with DGWO

Because permanent-magnet synchronous linear motors (SLM) still exhibit nonlinear friction, ending effects and time-varying dynamic uncertainties, better control performances cannot be achieved by using common linear controllers. We propose a backstepping approach with three adaptive laws and a beati...

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Main Authors: Der-Fa Chen, Yi-Cheng Shih, Shih-Cheng Li, Chin-Tung Chen, Jung-Chu Ting
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/11/2914
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author Der-Fa Chen
Yi-Cheng Shih
Shih-Cheng Li
Chin-Tung Chen
Jung-Chu Ting
author_facet Der-Fa Chen
Yi-Cheng Shih
Shih-Cheng Li
Chin-Tung Chen
Jung-Chu Ting
author_sort Der-Fa Chen
collection DOAJ
description Because permanent-magnet synchronous linear motors (SLM) still exhibit nonlinear friction, ending effects and time-varying dynamic uncertainties, better control performances cannot be achieved by using common linear controllers. We propose a backstepping approach with three adaptive laws and a beating function to control the motion of permanent-magnet SLM drive systems that enhance the robustness of the system. In order to reduce greater vibration in situations with uncertainty actions in the aforementioned control systems, we propose an adaptive modified recurrent Rogers–Szego polynomials neural network backstepping (AMRRSPNNB) control system with three adaptive laws and reimbursed controller with decorated gray wolf optimization (DGWO), in order to handle external bunched force uncertainty, including nonlinear friction, ending effects and time-varying dynamic uncertainties, as well as to reimburse the minimal rebuild error of the reckoned law. In accordance with the Lyapunov stability, online parameter training method of the modified recurrent Rogers–Szego polynomials neural network (MRRSPNN) can be derived by utilizing an adaptive law. Furthermore, to help reduce error and better obtain learning fulfillment, the DGWO algorithm was used to change the two learning rates in the weights of the MRRSPNN. Finally, the usefulness of the proposed control system is validated by tested results.
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spelling doaj.art-e65d97af5c5a4cb7805e8860979ea18b2023-11-20T03:02:34ZengMDPI AGEnergies1996-10732020-06-011311291410.3390/en13112914Permanent-Magnet SLM Drive System Using AMRRSPNNB Control System with DGWODer-Fa Chen0Yi-Cheng Shih1Shih-Cheng Li2Chin-Tung Chen3Jung-Chu Ting4Department of Industrial Education and Technology, National Changhua University of Education, Changhua 500, TaiwanDepartment of Industrial Education and Technology, National Changhua University of Education, Changhua 500, TaiwanDepartment of Industrial Education and Technology, National Changhua University of Education, Changhua 500, TaiwanGraduate School of Vocational and Technological Education, National Yunlin University of Science and Technology, Yunlin 640, TaiwanDepartment of Industrial Education and Technology, National Changhua University of Education, Changhua 500, TaiwanBecause permanent-magnet synchronous linear motors (SLM) still exhibit nonlinear friction, ending effects and time-varying dynamic uncertainties, better control performances cannot be achieved by using common linear controllers. We propose a backstepping approach with three adaptive laws and a beating function to control the motion of permanent-magnet SLM drive systems that enhance the robustness of the system. In order to reduce greater vibration in situations with uncertainty actions in the aforementioned control systems, we propose an adaptive modified recurrent Rogers–Szego polynomials neural network backstepping (AMRRSPNNB) control system with three adaptive laws and reimbursed controller with decorated gray wolf optimization (DGWO), in order to handle external bunched force uncertainty, including nonlinear friction, ending effects and time-varying dynamic uncertainties, as well as to reimburse the minimal rebuild error of the reckoned law. In accordance with the Lyapunov stability, online parameter training method of the modified recurrent Rogers–Szego polynomials neural network (MRRSPNN) can be derived by utilizing an adaptive law. Furthermore, to help reduce error and better obtain learning fulfillment, the DGWO algorithm was used to change the two learning rates in the weights of the MRRSPNN. Finally, the usefulness of the proposed control system is validated by tested results.https://www.mdpi.com/1996-1073/13/11/2914Rogers–Szego polynomials neural networkgray wolf optimizationLyapunov stability theorembackstepping controlsynchronous linear motor
spellingShingle Der-Fa Chen
Yi-Cheng Shih
Shih-Cheng Li
Chin-Tung Chen
Jung-Chu Ting
Permanent-Magnet SLM Drive System Using AMRRSPNNB Control System with DGWO
Energies
Rogers–Szego polynomials neural network
gray wolf optimization
Lyapunov stability theorem
backstepping control
synchronous linear motor
title Permanent-Magnet SLM Drive System Using AMRRSPNNB Control System with DGWO
title_full Permanent-Magnet SLM Drive System Using AMRRSPNNB Control System with DGWO
title_fullStr Permanent-Magnet SLM Drive System Using AMRRSPNNB Control System with DGWO
title_full_unstemmed Permanent-Magnet SLM Drive System Using AMRRSPNNB Control System with DGWO
title_short Permanent-Magnet SLM Drive System Using AMRRSPNNB Control System with DGWO
title_sort permanent magnet slm drive system using amrrspnnb control system with dgwo
topic Rogers–Szego polynomials neural network
gray wolf optimization
Lyapunov stability theorem
backstepping control
synchronous linear motor
url https://www.mdpi.com/1996-1073/13/11/2914
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AT yichengshih permanentmagnetslmdrivesystemusingamrrspnnbcontrolsystemwithdgwo
AT shihchengli permanentmagnetslmdrivesystemusingamrrspnnbcontrolsystemwithdgwo
AT chintungchen permanentmagnetslmdrivesystemusingamrrspnnbcontrolsystemwithdgwo
AT jungchuting permanentmagnetslmdrivesystemusingamrrspnnbcontrolsystemwithdgwo