Abstract
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.
Highlights
In recent years, the linear motor (LM) is widely used in many fields such as machine tools [1], vehicles [2], and workshop transportations [3]
A prescribed performance adaptive backstepping control (PPABC) strategy has been designed for WS-PWLSM, and the simulation and experiment results have proven that the controller can achieve precise velocity control of WS-PWLSM with parameter variation and external disturbances
Prescribed performance has been introduced to traditional backstepping control to ensure that the compensated error can converge within a predetermined range
Summary
The linear motor (LM) is widely used in many fields such as machine tools [1], vehicles [2], and workshop transportations [3]. When the mover is coupled with the two segments at the same time, the flux and inductance of the primary winding changes with the position of the mover. In [8], an adaptive backstepping method was proposed using an adaptive rate that was designed based on Lyapunov stability theory to handle the parameter variation, in order to eliminate the influence of parameter uncertainty of the control system This method did not consider differential expansion; the designed controller was too large for calculation and difficult to use in practical applications. The proposed method could enhance the dynamic performance of the system, but the sliding mode variable structure control caused shake, especially at low speeds Neither of these control methods considered the input limitation problem.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
