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Finite-time adaptive switched gain control for non-strict feedback nonlinear systems via nonlinear command filter

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Abstract

This paper is aimed at developing a finite-time adaptive control for non-strict feedback nonlinear systems with unknown backlash-like hysteresis. First, the adaptive fuzzy systems are applied to identify the unknown functions which contain all the system states. Second, based on the practical finite-time stability criteria, a novel finite-time adaptive switched gain controller via nonlinear command filter is proposed. The stability analysis shows that the tracking error converges to a small region around the origin within a finite time. Meanwhile, all the resulting closed-loop system states are bounded. Finally, simulation examples verify the effectiveness of the designed control scheme.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 61973198), the Research Fund for the Taishan Scholar Project of Shandong Province of China and SDUST Research Fund (No. 2015TDJH105).

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  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Wei Wei & Weihai Zhang

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  1. Wei Wei
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  2. Weihai Zhang
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Correspondence to Weihai Zhang.

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Wei, W., Zhang, W. Finite-time adaptive switched gain control for non-strict feedback nonlinear systems via nonlinear command filter. Nonlinear Dyn 100, 3485–3496 (2020). https://doi.org/10.1007/s11071-020-05693-5

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