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On Static and Dynamic Triggered Mechanisms for Event-Triggered Control of Uncertain Systems

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Abstract

This study presents both static and dynamic event-triggered mechanisms for the design of event-triggered stabilizing state feedback controllers for a class of uncertain nonlinear systems. Sufficient conditions based on linear matrix inequalities are first provided to guarantee the asymptotic stability of the closed-loop system. The controllers are then systematically designed. We also prove that the inter-event intervals of the considered event-triggered mechanisms are positive, therefore ensuring that the Zeno behavior does not happen. Two examples with simulations are provided to illustrate the theoretical results.

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Acknowledgements

The authors sincerely thank the anonymous reviewers for their constructive comments that helped improve the quality and presentation of this paper. The research of the first author was funded by the Ministry of Education and Training of Vietnam, under grant B2020-DQN-01.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Quy Nhon University, Binh Dinh, Vietnam

    Dinh Cong Huong

  2. School of Engineering, Deakin University, Geelong, VIC, 3217, Australia

    Van Thanh Huynh & Hieu Trinh

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  1. Dinh Cong Huong
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  2. Van Thanh Huynh
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  3. Hieu Trinh
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Correspondence to Dinh Cong Huong.

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Huong, D.C., Huynh, V.T. & Trinh, H. On Static and Dynamic Triggered Mechanisms for Event-Triggered Control of Uncertain Systems. Circuits Syst Signal Process 39, 5020–5038 (2020). https://doi.org/10.1007/s00034-020-01399-6

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