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Finite-Time Control of Nonlinear Impulsive Switched Positive Systems Based on an Event-Triggered Controller

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Abstract

In this paper, the finite-time control of nonlinear impulsive switched positive systems (ISPSs) is studied, where the impulses and bounded disturbance are both fully considered. By designing a novel event-triggered strategy, we present LMI-based conditions for the existence of a controller that guarantees finite-time boundedness (FTB) of the resulting closed-loop systems based on the average dwell time (ADT) method. Further, the finite-time weighted \(L_2\)-gain performance of the considered systems is analyzed. Also, a lower bound of the minimum inter-event interval is obtained to preclude the Zeno behavior. Finally, a numerical example is given to compare the differences between different controllers and to verify the effectiveness of the presented conclusions.

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All data included in this study are available upon request by contact with the corresponding author.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant 11861027 and Natural Science Foundation of Zhejiang Province under Grant LY22F030008.

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Authors and Affiliations

  1. School of Data Science and Artificial Intelligence, Wenzhou University of Technology, Wenzhou, 325035, Zhejiang, People’s Republic of China

    Shiyao Pan

  2. National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou, 325035, Zhejiang, People’s Republic of China

    Shipei Huang

  3. College of Science, Guilin University of Technology, Guilin, 541004, Guangxi, People’s Republic of China

    Yuanfu Shao

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  1. Shiyao Pan
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Correspondence to Shiyao Pan.

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Pan, S., Huang, S. & Shao, Y. Finite-Time Control of Nonlinear Impulsive Switched Positive Systems Based on an Event-Triggered Controller. Circuits Syst Signal Process 43, 729–749 (2024). https://doi.org/10.1007/s00034-023-02501-4

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  • DOI: https://doi.org/10.1007/s00034-023-02501-4

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