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Adaptive Asymptotic Tracking Control for Stochastic Nonlinear Systems with Unknown Backlash-Like Hysteresis

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Abstract

In this study, an adaptive asymptotic tracking control problem is considered for stochastic nonlinear systems with unknown backlash-like hysteresis. By utilizing backstepping technology and bound estimation approach, an adaptive asymptotic tracking control scheme is designed, where fuzzy systems are applied to approximate unknown function terms, the effect of hysteresis and stochastic disturbances is compensated appropriately. The proposed scheme ensures that the tracking error can asymptotically converge to zero in probability and all signals of the closed-loop system are bounded almost surely. Finally, the effectiveness of the control scheme is verified by giving a simulation example.

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Author information

Authors and Affiliations

  1. School of Mathematics Science, Liaocheng University, Liaocheng, 252000, China

    Le Wang & Wei Sun

  2. School of Engineering, Qufu Normal University, Rizhao, 276826, China

    Yuqiang Wu

Authors
  1. Le Wang
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  2. Wei Sun
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  3. Yuqiang Wu
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Corresponding author

Correspondence to Wei Sun.

Additional information

This research was supported in part by the Natural Science Foundation of Shandong Province for Key Projects under Grant No. ZR2020KA010; in part by the National Natural Science Foundation of China under Grant No. 62073187; in part by the Major Scientific and Technological Innovation Project in Shandong Province under Grant No. 2019JZZY011111, and “Guangyue Young Scholar Innovation Team” of Liaocheng University under Grant No. LCUGYTD2022-01.

This paper was recommended for publication by Editor GUO Jin.

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Wang, L., Sun, W. & Wu, Y. Adaptive Asymptotic Tracking Control for Stochastic Nonlinear Systems with Unknown Backlash-Like Hysteresis. J Syst Sci Complex 35, 1824–1838 (2022). https://doi.org/10.1007/s11424-022-1111-y

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  • DOI: https://doi.org/10.1007/s11424-022-1111-y

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