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Adaptive finite-time prescribed performance control for stochastic nonlinear systems with unknown virtual control coefficients

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Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

This paper is devoted to the adaptive finite-time prescribed performance control (FTPPC) for stochastic nonlinear systems with unknown virtual control coefficients (UVCCs), which are functions of system states. To eliminate the condition that the initial value of the performance function (PF) is bigger than the initial tracking error, a novel smooth shifting function, for the first time, is defined and embedded in FTPPC for the tracking error. New control laws are firstly proposed and employed to deal with UVCCs in the controller design, which are different from the Nussbaum gain technology in the existing papers. An adaptive FTPPC strategy is designed so that all of the signals in the closed-loop system are bounded in probability and the tracking error is restrained in a fixed bound after a preset finite time,even that the PF is smaller than the tracking error at the initial time instant.

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Acknowledgements

This work is financially sponsored by the Taishan Scholar Project of Shandong Province of China (2015162, tsqn201812093), the Natural Sciences and Engineering Research Council of Canada (NSERC), the National Natural Science Foundation of China (61773072, 62076150) and the Shandong Key Laboratory of Intelligent Buildings Technology (SDIBT202002).

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Authors and Affiliations

  1. School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, People’s Republic of China

    Cungen Liu, Xiaoping Liu, Huanqing Wang & Yucheng Zhou

  2. School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan, 114051, Liaoning, People’s Republic of China

    Chuang Gao

  3. Shandong Key Laboratory of Intelligent Buildings Technology, Jinan, 250101, Shandong, People’s Republic of China

    Chuang Gao

  4. Faculty of Engineering, Lakehead University, Thunder Bay, ON P7B 5E1, Canada

    Xiaoping Liu

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  1. Cungen Liu
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Correspondence to Chuang Gao.

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Liu, C., Gao, C., Liu, X. et al. Adaptive finite-time prescribed performance control for stochastic nonlinear systems with unknown virtual control coefficients. Nonlinear Dyn 104, 3655–3670 (2021). https://doi.org/10.1007/s11071-021-06456-6

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  • DOI: https://doi.org/10.1007/s11071-021-06456-6

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