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Event-Triggered Finite-Time \(H_{\infty }\) Filtering for a Class of Switched Nonlinear Systems Via the T–S Fuzzy Model

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Abstract

The paper focuses on the finite-time \(H_{\infty }\) filtering (FTHF) design problem for a class of switched nonlinear systems (SNSs) via the T–S fuzzy model method. Different from the traditional FTHF design methods with time-triggered mechanism, a novel event-triggered scheme is proposed for SNSs, which takes full advantage of mixed switching signals. The information of system output and switching signals is available to the filter at each event-triggered sampling instant. By using the average dwell time technique and controller-mode-dependent Lyapunov function method, sufficient conditions of finite-time \(H_{\infty }\) filtering for SNSs are established. Then, the \(H_{\infty }\) filtering gains and event-triggered parameters can be obtained by solving some matrix inequalities. Finally, numerical simulations are provided to verify the effectiveness of the obtained theoretical results.

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (Grants no. 61971100).

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Authors and Affiliations

  1. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Hui Gao & Hongbin Zhang

  2. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, China

    Kaibo Shi

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  1. Hui Gao
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  2. Kaibo Shi
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  3. Hongbin Zhang
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Correspondence to Hui Gao.

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Gao, H., Shi, K. & Zhang, H. Event-Triggered Finite-Time \(H_{\infty }\) Filtering for a Class of Switched Nonlinear Systems Via the T–S Fuzzy Model. Circuits Syst Signal Process 40, 3161–3178 (2021). https://doi.org/10.1007/s00034-020-01619-z

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