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The Scientific World Journal
Volume 2013 (2013), Article ID 236404, 7 pages
Research Article

A Robust Variable Sampling Time BLDC Motor Control Design Based upon -Synthesis

1Department of Electrical Engineering, National Yunlin University of Science and Technology, Yunlin, Douliou 64002, Taiwan
2Department of Mechanical Engineering, National Taiwan University, Taipei 10617, Taiwan

Received 13 August 2013; Accepted 1 October 2013

Academic Editors: D. Dong and A. S. Elwakil

Copyright © 2013 Chung-Wen Hung and Jia-Yush Yen. 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.


The variable sampling rate system is encountered in many applications. When the speed information is derived from the position marks along the trajectory, one would have a speed dependent sampling rate system. The conventional fixed or multisampling rate system theory may not work in these cases because the system dynamics include the uncertainties which resulted from the variable sampling rate. This paper derived a convenient expression for the speed dependent sampling rate system. The varying sampling rate effect is then translated into multiplicative uncertainties to the system. The design then uses the popular -synthesis process to achieve a robust performance controller design. The implementation on a BLDC motor demonstrates the effectiveness of the design approach.