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Chin. Phys. B, 2013, Vol. 22(4): 048902    DOI: 10.1088/1674-1056/22/4/048902
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

Backstepping-based lag synchronization of complex permanent magnet synchronous motor system

Wang Xing-Yuan (王兴元)a, Zhang hao (张昊)b
a Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;
b Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
Abstract  Through introducing the concept of complex current and resetting cross-coupling term, this paper proposes a novel complex permanent magnet synchronous motor system and analyze its properties. Base on complex permanent magnet synchronous motor system, we design controllers and achieve lag synchronizations both in real part and imaginary part with backstepping method. In our study, we take complex current, time delay, and structure of complex system into consideration. Numerical simulation results demonstrate the validity of controllers.
Keywords:  complex permanent magnet synchronous motor system      time delay      lag synchronization      backstepping method  
Received:  02 August 2012      Revised:  25 August 2012      Accepted manuscript online: 
PACS:  89.75.-k (Complex systems)  
  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61173183, 60973152, and 60573172), the Superior University Doctor Subject Special Scientific Research Foundation of China (Grant No. 20070141014), the Program for Liaoning Excellent Talents in University (Grant No. LR2012003), the National Natural Science Foundation of Liaoning Province of China (Grant No. 20082165), and the Fundamental Research Funds for the Central Universities of China (Grant No. DUT12JB06).
Corresponding Authors:  Wang Xing-Yuan     E-mail:  wangxy@dlut.edu.cn

Cite this article: 

Wang Xing-Yuan (王兴元), Zhang hao (张昊) Backstepping-based lag synchronization of complex permanent magnet synchronous motor system 2013 Chin. Phys. B 22 048902

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