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Non-weighted Asynchronous \(H_{\infty }\) Filtering for Continuous-Time Switched Fuzzy Systems

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Abstract

This paper focuses on the non-weighted asynchronous \(H_{\infty }\) filtering problem for a class of continuous-time switched nonlinear systems. The nonlinearities of subsystems are described by Takagi–Sugeno (T-S) fuzzy models. Using the information of switching instants, the filters are designed to be time-scheduled and separately in the asynchronous and synchronous time intervals. Based on a new time-scheduled fuzzy multiple Lyapunov function (TSFMLF), sufficient conditions are achieved to guarantee the switched filtering error system is globally asymptotically stable with a non-weighted \(H_{\infty }\) performance. Finally, an example is presented to demonstrated the effectiveness of the theoretical results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grants No.6197 1100), the National Natural Science Foundation of China (Grant No. 61803001) and the Natural Science Foundation of Anhui Province (Grant No. 1808085QF194).

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Authors and Affiliations

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

    Can Liu, Yang Li & Hongbin Zhang

  2. School of Electrical Engineering, Anhui Polytechnic University, Wuhu, 241000, Anhui, People’s Republic of China

    Qunxian Zheng

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  1. Can Liu
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  4. Hongbin Zhang
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Correspondence to Can Liu.

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Liu, C., Li, Y., Zheng, Q. et al. Non-weighted Asynchronous \(H_{\infty }\) Filtering for Continuous-Time Switched Fuzzy Systems. Int. J. Fuzzy Syst. 22, 1892–1904 (2020). https://doi.org/10.1007/s40815-020-00873-2

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