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Adaptive fuzzy tracking control for nonstrict-feedback switched stochastic nonlinear systems with nonsymmetric dead-zone input: a MDADT switching approach

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Abstract

This note considers the adaptive tracking control problem for switched stochastic nonlinear systems with nonsymmetric dead-zone input and nonstrict-feedback structure. By combining fuzzy logic system, multiple stochastic Lyapunov functions and adaptive backstepping methods, a novel adaptive state feedback controller is proposed, which guarantees all the signals of closed-loop system are the semiglobal uniform ultimate bounded (SGUUB) . Meanwhile, the tracking error eventually converges to a small neighborhood of the origin under the mode-dependent average dwell time (MDADT) scheme. Finally, two simulation examples are given to show availability of the developed control scheme.

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Funding

This work was supported by the National Natural Science Foundation of China under Grants 61973148.

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Authors and Affiliations

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

    Xueliang Wang, Jianwei Xia & Wei Sun

  2. School of Electrical and Information Engineering, Anhui University of Technology, Maanshan, 243002, China

    Hao Shen

  3. College of Computer Science and Technology, Qingdao University, Qingdao, 266071, China

    Weibo Wei

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  1. Xueliang Wang
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  2. Jianwei Xia
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  3. Wei Sun
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  4. Hao Shen
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Correspondence to Jianwei Xia.

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Wang, X., Xia, J., Sun, W. et al. Adaptive fuzzy tracking control for nonstrict-feedback switched stochastic nonlinear systems with nonsymmetric dead-zone input: a MDADT switching approach. Nonlinear Dyn 106, 3401–3413 (2021). https://doi.org/10.1007/s11071-021-06971-6

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  • DOI: https://doi.org/10.1007/s11071-021-06971-6

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