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Stabilization of a Class of Polynomial Systems with Input Saturation Based on Event-Triggered Control

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Abstract

This paper addresses a robust stabilization problem of polynomial systems with input saturation. Firstly, based on the framework of hybrid systems, an event-triggered controller is designed to establish the local uniform asymptotical stability of the closed-loop polynomial system. Secondly, the semi-global robust stabilization of polynomial systems using the event-triggered control is analyzed. In particular, robustness is developed to general perturbations that reflect the state noise and unmodeled dynamics, as well as inflation of flow and jump sets. Finally, two examples are presented to verify the designed event-triggered control strategy.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was supported by the Natural Science Foundation of Jiangsu Province (BK20201340) and 333 High-level Talents Training Project of Jiangsu Province.

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  1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, 214122, China

    Xu Cai & Xuyang Lou

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  1. Xu Cai
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Cai, X., Lou, X. Stabilization of a Class of Polynomial Systems with Input Saturation Based on Event-Triggered Control. Circuits Syst Signal Process 42, 3292–3319 (2023). https://doi.org/10.1007/s00034-022-02261-7

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