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Simple Structure Controller Design for Exponential Stabilization of Feedforward Nonlinear Time-Delay Systems

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Abstract

This paper proposes a simple but effective method for constructing the state feedback controller to solve the exponential stabilization problem for a class of feedforward nonlinear systems subject to different time-delay states. The form of state feedback controller, which depends on a positive parameter to be determined, is firstly presented. And then, by considering the Lyapunov-Krasovskii functional with exponential term and taking the appropriate positive parameter, the state feedback controller is achieved to ensure the exponential stability of the closed-loop system. Finally, the proposed design scheme is utilized to the control design of resonant circuit system.

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Acknowledgements

This work was partially supported by the Young Taishan Scholar Project of Shandong Province of China under Grant tsqn202211132, and the National Natural Science Foundation of China under Grants 61773073.

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  1. Institute of Automation, Qufu Normal University, Jingxuan West Road, Qufu, 273165, Shandong Province, China

    Liang Liu

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Liu, L. Simple Structure Controller Design for Exponential Stabilization of Feedforward Nonlinear Time-Delay Systems. Circuits Syst Signal Process (2024). https://doi.org/10.1007/s00034-024-02690-6

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