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Passive Fuzzy Control Design for a Class of Nonlinear Distributed Parameter Systems with Time-varying Delay

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Abstract

This paper is devoted to studying the issue of passive fuzzy controller design for a class of nonlinear distributed parameter systems represented by semi-linear parabolic partial differential equations. The main objective of this paper is to develop two kinds of fuzzy controllers, one is static output feedback controller (SOFC), the other is dynamic output feedback controller (DOFC), which can guarantee both the stability and passivity of the designed closed-loop system. For the purpose of achieving the anticipated target, in this paper, the semi-linear parabolic PDE systems are assumed to be exactly represented by a Takagi-Sugeno (T-S) fuzzy parabolic PDE model. Furthermore, two examples are given to demonstrate the effectiveness of the controller design scheme.

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Authors and Affiliations

  1. School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin, 300387, China

    Xunwu Yin

  2. School of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, China

    Xiaona Song & Mi Wang

Authors
  1. Xunwu Yin
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  2. Xiaona Song
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  3. Mi Wang
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Corresponding author

Correspondence to Xiaona Song.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Takahiro Endo under the direction of Editor Fumitoshi Matsuno. This work is supported by the National Natural Science Foundation of China under Grants 61976081, U1604146, 61773285 and 11871371, Foundation for the University Technological Innovative Talents of Henan Province under Grant 18HASTIT019.

Xunwu Yin received his Ph.D. degree in Control Theory and Control Engineering from Tianjin University, Tianjin, China, in 2012. From 2016 to 2017, he was a visiting scholar in the School of Science, Southern Illinois University, Carbondale, IL, U.S.. He is currently with the school of Mathematical Sciences, Tianjin Polytechnic University, Tianjin, China. His research interests include complex networks, fuzzy control, and distributed parameter systems.

Xiaona Song received the Ph.D. degree in Control Theory and Control Engineering from Nanjing University of Science and Technology, Nanjing, China, in 2011. From Feb. 2009 to Aug. 2009 and Apr. 2016 to Apr. 2017, she was a visiting scholar with the Department of Electrical Engineering, Utah State University and Southern Illinois University Carbondale, respectively. She is currently with the School of Information Engineering, Henan University of Science and Technology, Luoyang, China. Her current research interests include Markov jump distributed parameter systems, complex networks, fractional-order systems and control, fuzzy control, nonlinear control.

Mi Wang received his B.S. degree in Automation from the School of Information Engineering, Henan University of Science and Technology, Luoyang, China in 2018. He is studying for an M.S. degree in the School of Information Engineering, Henan University of Science and Technology, Lu-oyang, China. His current research interests include Markov jump distributed parameter systems, neural networks, fault tolerant control and filtering.

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Yin, X., Song, X. & Wang, M. Passive Fuzzy Control Design for a Class of Nonlinear Distributed Parameter Systems with Time-varying Delay. Int. J. Control Autom. Syst. 18, 911–921 (2020). https://doi.org/10.1007/s12555-018-0677-6

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  • DOI: https://doi.org/10.1007/s12555-018-0677-6

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