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Quantitative Control of Nonlinear Systems Based on an Event Trigger Mechanism

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Abstract

In this study, we use an event-based mechanism for the quantitative control of nonlinear systems to obtain an optimized stable controller. We define a nonlinear system model based on an event trigger mechanism and a quantization mechanism. The layout of the model includes a sampler, which is continuously monitored, and the sampled signal. The latter is detected by the event trigger mechanism when a given threshold is fulfilled. The quantizer is used to discretize the incoming control signal, the controller output, the feedback, and the nonlinear system. As the second step, we define a neural network controller that is optimized using a suitable genetic algorithm. To reduce the conservativeness of the system, we use a piecewise Lyapunov–Krasovskii functional method. By analyzing the inherent transmission time delay, the synchronous controller is converted into the equivalent stability problem for the corresponding time-delayed system. The effectiveness and advantages of the proposed method are shown by numerical simulations based on an inverted pendulum.

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Data availability statement

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

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant No. 61801286.

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Authors and Affiliations

  1. School of Electric and Electronic Engineering, Shanghai University of Engineering Science, Songjiang District, Shanghai, 201600, China

    Yan Gao, Xin Guo & Rao Yao

  2. School of Information Science and Engineering, Donghua University, Songjiang District, Shanghai, 201600, China

    Wuneng Zhou

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  1. Yan Gao
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  2. Xin Guo
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  3. Rao Yao
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Correspondence to Yan Gao.

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Gao, Y., Guo, X., Yao, R. et al. Quantitative Control of Nonlinear Systems Based on an Event Trigger Mechanism. Circuits Syst Signal Process 40, 1233–1251 (2021). https://doi.org/10.1007/s00034-020-01542-3

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  • DOI: https://doi.org/10.1007/s00034-020-01542-3

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