Abstract
In this paper, a novel intelligent digital redesign (IDR) technique using the guaranteed cost control method is proposed for nonlinear systems which can be represented by a Takagi-Sugeno (T-S) fuzzy model. The IDR technique, which is one of the sampled-data fuzzy controller design methods, guarantees not only the stability condition of the sampled-data closed-loop system with the sampleddata fuzzy controller and the state-matching error is presented. By using the concept of the guaranteed cost control method, sufficient conditions are obtained for both minimization of the state-matching error and stabilization of the sampled-data closed-loop system and derived in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to verify the effectiveness of the proposed technique.
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Recommended by Editorial Board member Shengyuan Xu under the direction of Editor Ju Hyun Park.
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2012R1A2A2A01014088) by the Human Resources Development program (No. 20124030200040) of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Trade, Industry and Energy.
Geun Bum Koo received his B.S. degree in Electrical and Electronic Engineering from Yonsei University, Seoul, Korea in 2007. Since 2007, he is doing a Ph.D. in Yonsei University. His current research interests include large-scale systems, decentralized control, sampled-data control, digital redesign, nonlinear control, and fuzzy systems.
Jin Bae Park received his B.S. 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, KS, USA, in 1977, 1985, and 1990, respectively. Since 1992, he has been with the Department of Electrical and Electronic Engineering, Yonsei University, where he is currently a Professor. His major research interests include robust control and filtering, nonlinear control, intelligent mobile robot, fuzzy logic control, neural networks, chaos theory, and genetic algorithms. He served as the Editor-in-Chief (2006–2010) for the International Journal of Control, Automation, and Systems and the Vice-President (2009–2011) for Institute of Control, Robot, and Systems Engineers (ICROS). He is currently serving as the President for ICROS.
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, human-robot interaction, and intelligent surveillance systems. He severed as the President for Korea Institute of Intelligent Systems (KIIS) (2008–2009) and is serving as Editor for the Intelligent Journal of Control, Automation, and Systems (IJCAS) (2008-present) and is serving as the Vice-President for the Korean Institute of Electrical Engineers (KIEE) (2013-present).
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Koo, G.B., Park, J.B. & Joo, Y.H. Intelligent digital redesign for nonlinear systems using a guaranteed cost control method. Int. J. Control Autom. Syst. 11, 1075–1083 (2013). https://doi.org/10.1007/s12555-013-0093-x
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DOI: https://doi.org/10.1007/s12555-013-0093-x