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Asynchronous Filtering for Delayed Fuzzy Jump Systems Subject to Mixed Passivity and \({\user2{H\infty }} \) Performance

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Abstract

This paper investigates asynchronous mixed passivity and \(H\infty \) filter design for fuzzy jump systems with time-varying delays. Firstly, new time delay-dependent stability conditions for the fuzzy Markovian jump systems are obtained by constructing a mode-dependent Lyapunov functional and introducing free weight matrices technique. Secondly, the asynchronous filter is designed via linear matrix inequalities, which can ensure stochastic stability and the mixed passivity and \(H\infty \) performance of the augmented Markovian jump filtering error system. A numerical example and a single-link robot arm are utilized to show the effectiveness of the method.

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Acknowledgements

The authors would like to thank the Editors and the Referees for their valuable comments and suggestions, which helped to greatly improve the work. This work was partially supported by the National Natural Science Foundation of China under Grants 61773191, 61973148, 62003154; Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant 2019KJI010; the Natural Science Foundation of Shandong Province for Outstanding Young Talents in Provincial Universities under Grant ZR2016JL025; Undergraduate Education Reform Project of Higher Education in Shandong Province under Grant M2018X047; Liaocheng University Education Reform Project Foundation under Grants G201811, 26322170267.

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Authors and Affiliations

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252000, People’s Republic of China

    Guowei Zhao, Guangming Zhuang, Wei Sun, Jianwei Xia & Guoliang Chen

  2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210094, People’s Republic of China

    Junwei Lu

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  1. Guowei Zhao
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  2. Guangming Zhuang
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  3. Wei Sun
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Correspondence to Guangming Zhuang.

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Zhao, G., Zhuang, G., Sun, W. et al. Asynchronous Filtering for Delayed Fuzzy Jump Systems Subject to Mixed Passivity and \({\user2{H\infty }} \) Performance. Int. J. Fuzzy Syst. 23, 1396–1413 (2021). https://doi.org/10.1007/s40815-020-01025-2

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