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Asynchronous H∞ Filtering for Switched T–S Fuzzy Systems and Its Application to the Continuous Stirred Tank Reactor

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Abstract

This paper is concerned with the \(H_\infty \) filtering problem for switched Takagi–Sugeno (T–S) fuzzy systems with asynchronous switching, where “asynchronous” means that the switching of the filters has a lag to the switching of system models. In the switched T–S fuzzy systems, every subsystem is represented by the well-known T–S fuzzy model. Using the multiple Lyapunov functions approach and mode-dependent average dwell time technique, a sufficient condition is developed to ensure the filtering error system to be globally uniformly asymptotically stable with a weighted \(H_\infty \) performance index. Moreover, the desired asynchronous \(H_\infty \) filters can be constructed by solving a set of linear matrix inequalities. Finally, an example about the continuous stirred tank reactor is provided to demonstrate the applicability of the obtained results.

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Acknowledgements

This work is supported by the Open Research Fund of Anhui Key Laboratory of Detection Technology and Energy Saving Devices, Anhui Polytechnic University (Grant No. 2017070503B026-A07), the Natural Science Research of Anhui higher education promotion program (Grant No. TSKJ2017B25), the Priming Scientific Research Foundation for the Introduction Talent in Anhui Polytechnic University (Grant No. 2017YQQ002) and the National Natural Science Foundation of China (Grant No. 61374117).

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Authors and Affiliations

  1. Shanghai Fire Research Institute of MPS, Shanghai, 200438, People’s Republic of China

    Yingzheng Hong

  2. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People’s Republic of China

    Hongbin Zhang

  3. Anhui Key Laboratory of Detection Technology and Energy Saving Devices, College of Electrical Engineering, Anhui Polytechnic University, Wuhu, 241000, Anhui, People’s Republic of China

    Qunxian Zheng

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  1. Yingzheng Hong
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Correspondence to Qunxian Zheng.

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Hong, Y., Zhang, H. & Zheng, Q. Asynchronous H∞ Filtering for Switched T–S Fuzzy Systems and Its Application to the Continuous Stirred Tank Reactor. Int. J. Fuzzy Syst. 20, 1470–1482 (2018). https://doi.org/10.1007/s40815-018-0454-y

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