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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 3976586, 10 pages
Research Article

Adaptive Chaos Synchronization Control of Nonlinear PMSM System Using Extended State Observer

1Beijing Institute of Satellite Information Engineering, Beijing 100000, China
2College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China

Received 12 July 2016; Revised 9 October 2016; Accepted 19 October 2016

Academic Editor: Uchechukwu E. Vincent

Copyright © 2016 Zijing Cheng 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.


This paper proposes an adaptive chaos synchronization control scheme for nonlinear permanent magnet synchronous motor (PMSM) systems by using extended state observer (ESO). Frist of all, a chaotic PMSM system is built through an affine transformation and a time scale transformation of the mathematical PMSM model. Then, an adaptive sliding mode controller is developed based on the extended state observer to achieve the synchronization performance of two chaotic PMSM systems. Moreover, an adaptive parameter law of the control gain is designed to reduce the chattering problem existing in the traditional sliding mode control. Finally, the effectiveness of the proposed method is verified by simulation results.