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Finite-time stabilization of nonlinear systems using an event-triggered controller with exponential gains

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Abstract

This paper investigates the finite-time stabilization for a class of nonlinear systems by proposing a new event-triggered controller. The novelty lies in that, by introducing an exponential term, the control gains are exponential alterable in the interval of two adjacent event instants. Moreover, based on the proposed controller, a specific event-triggered scheme with a new type of error function is also derived to stabilize the concerned system in a finite time. In addition, a positive lower bound of the inter-execution is obtained, such that the Zeno behaviors can be avoided. Finally, illustrative examples are provided to verify that the overall amount of triggered events can be reduced by utilizing the proposed method in this paper.

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Nannan Rong & Zhanshan Wang

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  1. Nannan Rong
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  2. Zhanshan Wang
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Correspondence to Zhanshan Wang.

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This work was supported in part by the National Natural Science Foundation of China under Grants 61433004 and 61627809, LiaoNing Revitalization Talents Program under Grant XLYC1802010, and in part by SAPI Fundamental Research Funds under Grant 2018ZCX22.

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Rong, N., Wang, Z. Finite-time stabilization of nonlinear systems using an event-triggered controller with exponential gains. Nonlinear Dyn 98, 15–26 (2019). https://doi.org/10.1007/s11071-019-05167-3

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