Abstract
This paper presents an H ∞ fuzzy filter design method for nonlinear sampled-data systems that are represented by a Takagi–Sugeno (T–S) fuzzy model. An error system between the T–S fuzzy system and the fuzzy filter is obtained to analyze the sampled-data system and solve the filter synthesis problem. To enhance the feasibility of the sampled-data fuzzy filter, an improved approach is proposed that not only captures the characteristics of the sampled-data system, but also eliminates a complex discretized model of the sampled-data system using a Lyapunov function and two null terms. In the sense of Lyapunov, relaxed sufficient conditions, which are derived in terms of linear matrix inequalities (LMIs), are obtained for both asymptotic stability and H ∞ disturbance attenuation performance of the error system with less conservatism. Finally, simulation examples are presented to show the effectiveness of the proposed method.
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Recommended by Associate Editor Sung Jin Yoo under the direction of Editor Duk-Sun Shim. This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning (No. 2015R1A2A2A01007545) and the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2015R1A2A2A05001610).
Ho Jun Kim received the B.S., M.S. degrees in electrical engineering from Yonsei University, Seoul, Korea, in 2011 and 2013, respectively. Since 2013, he has been pursuing a Ph.D. degree with Yonsei University. His current research interests include large-scale systems, sampleddata systems, decentralized filters, digital redesign, and fuzzy systems.
JinBaePark received the B.E. degree in Electrical Engineering from Yonsei University, Seoul, Korea, and the 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, drone, mobile robot, fuzzy logic control, neural networks, and genetic algorithms. He served as the Editor-in-Chief for the Intelligent Journal of Control, Automation, and Systems (IJCAS) (2006-2010), the President for the Institute of Control, Robotics, and Systems Engineers (ICROS) (2013), and the Senior Vice-President for Yonsei University(2015-2016).
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, Kunsan, Korea. His major interest is mainly in the field of intelligent robot, intelligent control, human-robot interaction, robot vision, and wind farm control. He served as President for Korea Institute of Intelligent Systems (KIIS) (2008-2009) and is serving as Editor-in- Chief for the International Journal of Control, Automation, and Systems (IJCAS) (2014-present) and the Vice-President for the Korean Institute of Electrical Engineers (KIEE) (2016-present) and the Vice-President for the Institute of Control, Robotics and Systems (ICROS) (2016-present).
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Kim, H.J., Park, J.B. & Joo, Y.H. An improved H ∞ fuzzy filter for nonlinear sampled-data systems. Int. J. Control Autom. Syst. 15, 1394–1404 (2017). https://doi.org/10.1007/s12555-016-0088-5
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DOI: https://doi.org/10.1007/s12555-016-0088-5