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Fuzzy H∞ FIR Filtering for T–S Fuzzy Systems with Quantization and Packet Dropout

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Abstract

This paper proposes a new fuzzy H∞ finite impulse response (FIR) filter with quantization and packet dropout for Takagi–Sugeno (T–S) fuzzy systems with external disturbance. The measurements are quantized by a logarithmic quantizer and then transmitted from the plant to the filter imperfectly due to random packet loss described by the Bernoulli random process. The proposed fuzzy H∞ FIR filter is in the form of fuzzy-basis-independent linear matrix inequalities (LMIs) that guarantee H∞ performance. Two simulation examples are given to illustrate the effectiveness and robustness of the proposed fuzzy H∞ FIR filter.

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Authors and Affiliations

  1. School of Electrical Engineering, Korea University, 145, Anam-ro, Seongbuk-gu, Seoul, 02841, Korea

    Chang Joo Lee & Myo Taeg Lim

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  1. Chang Joo Lee
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Correspondence to Myo Taeg Lim.

Additional information

Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Euntai Kim. This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant No. NRF-2016R1D1A1B01016071).

Chang Joo Lee received his B.S. degree in the School of Electronic Engineering from Soongsil University, Seoul, Korea in 2012. Since 2012, he has been a Ph.D. candidate in the School of Electrical Engineering, Korea University. His current research interests include fuzzy systems, neural networks, robust control, FIR filters, finite memory controls, nonlinear systems, and advanced driver assistance systems.

Myo Taeg Lim received his B.S. and M.S. degrees in Electrical Engineering from Korea University, Seoul, Korea in 1985 and 1987, respectively. He also received his M.S. and Ph.D. degrees in Electrical Engineering from Rutgers University, NJ, USA, in 1990 and 1994, respectively. He was a Senior Research Engineer with the Samsung Advanced Institute of Technology and a Professor in the Department of Control and Instrumentation, National Changwon University, Korea. Since 1996, he has been a Professor in the School of Electrical Engineering at Korea University. His research interests include optimal and robust control, vision based motion control, and autonomous mobile robots. He is the author or coauthor of more than 80 journal papers and two books (Optimal Control of Singularly Perturbed Linear Systems and Application: High-Accuracy Techniques, Control Engineering Series, Marcel Dekker, New York, 2001; Optimal Control: Weakly Coupled Systems and Applications, Automation and Control Engineering Series, CRC Press, New York, 2009). Prof. Lim currently serves as an Editor for International Journal of Control, Automation, and Systems. He is a Fellow of the Institute of Control, Robotics and System, and a member of the IEEE and Korean Institute of Electrical Engineers.

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Lee, C.J., Lim, M.T. Fuzzy H∞ FIR Filtering for T–S Fuzzy Systems with Quantization and Packet Dropout. Int. J. Control Autom. Syst. 16, 961–971 (2018). https://doi.org/10.1007/s12555-017-0465-8

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  • DOI: https://doi.org/10.1007/s12555-017-0465-8

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