Abstract
In this paper, we propose the robust digital control for active magnetic bearing (AMB) systems. For achieving the robust stability, we deal with the uncertainties of the given system based on the Takagi-Sugeno (T-S) fuzzy model. Also, in order to solve the digital implementation for real plants, this paper presents a robust intelligent digital redesign (IDR) method. The term IDR involves converting an analog controller into an equivalent digital one in the sense of state-matching. The uncertainties in the plant dynamics is shown in the IDR condition by virtue of the pade and inverse-pade approximation method. Also, the robust stability property is preserved by the proposed method. The sufficient conditions for robust controller are obtained in terms of solutions to linear matrix inequalities (LMIs). Finally, simulation results for two AMB systems are demonstrated to visualize the feasibility of the proposed method.
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Recommended by Editorial Board member Kyoungsu Yi under the direction of Editor Young Il Lee.
This work was supported by National Research Foundation of Korea Grant funded by the Korean Government (MEST) (KRF-2009-220-D00034).
Hwa Chang Sung received his B.S., M.S. and Ph.D. degrees from Yonsei University, Seoul, Korea, in 2005, 2007 and 2012, respectively, in electrical and electronic engineering. His current research interests include robust fuzzy control, wind power control, magnetic bearing system, and intelligent digital redesign.
Jin Bae Park received his B.E. degree in electrical engineering from Yonsei University, Seoul, Korea, and his M.S. and Ph.D. degrees in electrical engineering from Kansas State University, Manhattan, in 1977, 1985, and 1990, respectively. Since 1992, he has been with the Department of Electrical and Electronic Engineering, Yonsei University, Seoul, Korea, where he is currently a professor. His research interests include robust control and filtering, nonlinear control, intelligent mobile robot, fuzzy logic control, neural networks, and genetic algorithms. He served as Editor-in-Chief for the International Journal of Control, Automation, and Systems (IJCAS) (2006–2010) and is serving as the Vice-President for Institute of Control, Robotics, and Systems (ICROS) (2009-present).
Young Hoon Joo received his B.S., M.S., and Ph.D. degrees in electrical engineering from Yonsei University, Seoul, Korea, in 1982, 1984, and 1995, respectively. He worked with Samsung Electronics Company, Seoul, Korea, from 1986 to 1995, as a project manager. He was with the University of Houston, Houston, TX, from 1998 to 1999, as a visiting professor in the Department of Electrical and Computer Engineering. He is currently a professor in the Department of Control and Robotics Engineering, Kunsan National University, Korea. His major interest is mainly in the field of intelligent robot, intelligent control, and human-robot interaction. He served as President for Korea Institute of Intelligent Systems (KIIS) (2008–2009) and is serving as Editor for the International Journal of Control, Automation, and Systems (IJCAS) (2008-present) and is serving as the Vice-President for the Korean Institute of Electrical Engineers (KIEE) (2011-present).
Kuo Chi Lin received his M.S. and Ph.D. degrees in aerospace engineering from University of Michigan, Ann Arbor, Michigan, USA, in 1986, 1990, respectively. He has been a joint faculty between Institute for Simulation and Training (IST) and Department of Mechanical, Materials and Aerospace Engineering (MMAE) since joining University of Central Florida (UCF) in 1990. He is currently the Associate Chair of MMAE and an Associate Faculty in Florida Space Institute (FSI) at UCF. His major interest is mainly in the fields of renewable energy, rotating machinery, modeling and simulation, and small satellite.
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Sung, H.C., Park, J.B., Joo, Y.H. et al. Robust digital implementation of fuzzy control for uncertain systems and its application to active magnetic bearing system. Int. J. Control Autom. Syst. 10, 603–612 (2012). https://doi.org/10.1007/s12555-012-0318-4
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DOI: https://doi.org/10.1007/s12555-012-0318-4