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Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Systems with Nonstrict-Feedback and Dead Zone

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Abstract

This paper focuses on the adaptive fuzzy tracking control problem for a class of stochastic nonlinear systems with nonstrict-feedback structure and dead zone input. By introducing fuzzy logic system, the difficulties caused by unknown nonlinear functions and nonstrict-feedback are overcome. Considering the asymmetric dead zone input, an adaptive tracking controller is constructed by integrating the fuzzy logic system into the backstepping technology. The controller can not only realize the output signal tracking reference signal with a small tracking error, but also ensure that all signals in the closed-loop system are bounded in probability. Finally, an example is proposed to demonstrate the effectiveness of the proposed control scheme.

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Acknowledgements

The authors would like to thank the anonymous Referees and the Editors for their valuable comments and suggestions, which greatly improved the exposition and quality of the work. This work was supported by the National Natural Science Foundation of China under Grants 61973148, 61773191; the Natural Science Foundation of Shandong Province under Grant ZR2018MF028; Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant 2019KJI010.

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  1. School of Mathematics Science, Liaocheng University, Liaocheng, 252000, People’s Republic of China

    Yuxiao Lian, Jianwei Xia, Wenjing Yang, Xueliang Wang & Linqi Wang

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  1. Yuxiao Lian
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  2. Jianwei Xia
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Correspondence to Jianwei Xia.

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Lian, Y., Xia, J., Yang, W. et al. Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Systems with Nonstrict-Feedback and Dead Zone. Int. J. Fuzzy Syst. 23, 2324–2334 (2021). https://doi.org/10.1007/s40815-021-01106-w

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  • DOI: https://doi.org/10.1007/s40815-021-01106-w

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