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Finite-time event-triggered sliding mode control for one-sided Lipschitz nonlinear systems with uncertainties

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Abstract

This paper investigates the problem of finite-time event-triggered sliding mode control for one-sided Lipschitz nonlinear systems with uncertainties. The system is subjected to event-triggered scheme, which can automatically monitor the data transmission. Firstly, a zero-order-hold is employed to guarantee the control signal to be continuous, and an observer is proposed to estimate the system states. Then, some sufficient conditions are given to ensure the FTB of the resulting closed-loop system under consideration. Based on these, an observer and an observer-based sliding mode controller can be simultaneously involved in the design at one step in terms of linear matrix inequalities (LMIs). Two convex optimization problems subjected to LMIs are formulated to optimize the desired performance indices of interest to us. Finally, two practical examples are provided to verify the effectiveness of the proposed method.

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Acknowledgements

This work is supported by National Natural Science Foundation of China under Grants 61673100, 61703083 and Fundamental Research Funds for Central Universities under Grant N150504011.

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Authors and Affiliations

  1. College of Sciences, Northeastern University, Shenyang, 110819, Liaoning province, People’s Republic of China

    Junchao Ren & Jie Sun

  2. The State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, Liaoning province, People’s Republic of China

    Jun Fu

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  1. Junchao Ren
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Correspondence to Junchao Ren.

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Ren, J., Sun, J. & Fu, J. Finite-time event-triggered sliding mode control for one-sided Lipschitz nonlinear systems with uncertainties. Nonlinear Dyn 103, 865–882 (2021). https://doi.org/10.1007/s11071-020-06096-2

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