Prescribed Performance Adaptive Backstepping Control for Winding Segmented Permanent Magnet Linear Synchronous Motor
In this paper, a prescribed performance adaptive backstepping control (PPABC) strategy is proposed to control the speed of a winding segmented permanent magnet linear synchronous motor (WS-PMLSM) with variable parameters and an unknown load disturbance. Firstly, a mathematical model of WS-PMLSM is p...
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doaj-90f86f35c6aa4f11972965883acfc7302020-11-25T02:28:53ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472020-03-0125181810.3390/mca25020018Prescribed Performance Adaptive Backstepping Control for Winding Segmented Permanent Magnet Linear Synchronous MotorWeiming Zhang0Dapan Li1Xuyang Lou2Dezhi Xu3School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaSchool of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaSchool of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaSchool of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaIn this paper, a prescribed performance adaptive backstepping control (PPABC) strategy is proposed to control the speed of a winding segmented permanent magnet linear synchronous motor (WS-PMLSM) with variable parameters and an unknown load disturbance. Firstly, a mathematical model of WS-PMLSM is provided. Then, the prescribed performance technique is introduced in the adaptive backstepping control to improve the transient performance and ensures the tracking error converges within a predetermined range. In addition, a constrained command filter is introduced to address the problem of differential expansion which exists in the traditional backstepping method, and a filter compensation signal is designed against the filter error. Moreover, the adaptive law is designed based on Lyapunov stability theory to estimate the uncertainties caused by parameter changes and load disturbances. The stability of the proposed control strategy is given and the simulation of the control system is carried out under the proposed PPABC in contrast with another backstepping control and traditional PI control. Finally, the experiment is conducted to further show the effectiveness of the proposed controller.https://www.mdpi.com/2297-8747/25/2/18prescribed performanceconstrained command filterbacksteppingWS-PMLSM |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Weiming Zhang Dapan Li Xuyang Lou Dezhi Xu |
spellingShingle |
Weiming Zhang Dapan Li Xuyang Lou Dezhi Xu Prescribed Performance Adaptive Backstepping Control for Winding Segmented Permanent Magnet Linear Synchronous Motor Mathematical and Computational Applications prescribed performance constrained command filter backstepping WS-PMLSM |
author_facet |
Weiming Zhang Dapan Li Xuyang Lou Dezhi Xu |
author_sort |
Weiming Zhang |
title |
Prescribed Performance Adaptive Backstepping Control for Winding Segmented Permanent Magnet Linear Synchronous Motor |
title_short |
Prescribed Performance Adaptive Backstepping Control for Winding Segmented Permanent Magnet Linear Synchronous Motor |
title_full |
Prescribed Performance Adaptive Backstepping Control for Winding Segmented Permanent Magnet Linear Synchronous Motor |
title_fullStr |
Prescribed Performance Adaptive Backstepping Control for Winding Segmented Permanent Magnet Linear Synchronous Motor |
title_full_unstemmed |
Prescribed Performance Adaptive Backstepping Control for Winding Segmented Permanent Magnet Linear Synchronous Motor |
title_sort |
prescribed performance adaptive backstepping control for winding segmented permanent magnet linear synchronous motor |
publisher |
MDPI AG |
series |
Mathematical and Computational Applications |
issn |
1300-686X 2297-8747 |
publishDate |
2020-03-01 |
description |
In this paper, a prescribed performance adaptive backstepping control (PPABC) strategy is proposed to control the speed of a winding segmented permanent magnet linear synchronous motor (WS-PMLSM) with variable parameters and an unknown load disturbance. Firstly, a mathematical model of WS-PMLSM is provided. Then, the prescribed performance technique is introduced in the adaptive backstepping control to improve the transient performance and ensures the tracking error converges within a predetermined range. In addition, a constrained command filter is introduced to address the problem of differential expansion which exists in the traditional backstepping method, and a filter compensation signal is designed against the filter error. Moreover, the adaptive law is designed based on Lyapunov stability theory to estimate the uncertainties caused by parameter changes and load disturbances. The stability of the proposed control strategy is given and the simulation of the control system is carried out under the proposed PPABC in contrast with another backstepping control and traditional PI control. Finally, the experiment is conducted to further show the effectiveness of the proposed controller. |
topic |
prescribed performance constrained command filter backstepping WS-PMLSM |
url |
https://www.mdpi.com/2297-8747/25/2/18 |
work_keys_str_mv |
AT weimingzhang prescribedperformanceadaptivebacksteppingcontrolforwindingsegmentedpermanentmagnetlinearsynchronousmotor AT dapanli prescribedperformanceadaptivebacksteppingcontrolforwindingsegmentedpermanentmagnetlinearsynchronousmotor AT xuyanglou prescribedperformanceadaptivebacksteppingcontrolforwindingsegmentedpermanentmagnetlinearsynchronousmotor AT dezhixu prescribedperformanceadaptivebacksteppingcontrolforwindingsegmentedpermanentmagnetlinearsynchronousmotor |
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1724835830322692096 |