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Mathematical Problems in Engineering
Volume 2016, Article ID 4720126, 13 pages
Research Article

Adaptive Command-Filtered Backstepping Control for Linear Induction Motor via Projection Algorithm

Institute of Electrical Engineering and Intelligent Equipment, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China

Received 6 May 2016; Revised 19 August 2016; Accepted 22 August 2016

Academic Editor: Xuejun Xie

Copyright © 2016 Wenxu Yan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A theoretical framework of the position control for linear induction motors (LIM) has been proposed. First, indirect field-oriented control of LIM is described. Then, the backstepping approach is used to ensure the convergence and robustness of the proposed control scheme against the external time-varying disturbances via Lyapunov stability theory. At the same time, in order to solve the differential expansion and the control saturation problems in the traditional backstepping, command filter is designed in the control and compensating signals are presented to eliminate the influence of the errors caused by command filters. Next, unknown total mass of the mover, viscous friction, and load disturbances are estimated by the projection-based adaptive law which bounds the estimated function and simultaneously guarantees the robustness of the proposed controller against the parameter uncertainties. Finally, simulation results are given to illustrate the validity and potential of the designed control scheme.