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Volume 2017 (2017), Article ID 6743184, 15 pages
Research Article

Synchronization and Antisynchronization of -Coupled Complex Permanent Magnet Synchronous Motor Systems with Ring Connection

College of Control Science and Engineering, Shandong University, Jinan 250061, China

Correspondence should be addressed to Shutang Liu

Received 7 July 2016; Revised 18 September 2016; Accepted 20 September 2016; Published 26 January 2017

Academic Editor: Roberto Natella

Copyright © 2017 Cuimei Jiang and Shutang Liu. 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 discusses synchronization and antisynchronization of -coupled complex permanent magnet synchronous motors systems with ring connection. Based on the direct design method and antisymmetric structure, the appropriate controllers are designed to ensure the occurrence of synchronization and antisynchronization in an array of -coupled general complex chaotic systems described by a unified mathematical expression with ring connection. The proposed method is flexible and is suitable both for design and for implementation in practice. Numerical results are plotted to show the rapid convergence of errors to zero and further verify the effectiveness and feasibility of the theoretical scheme.