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Adaptive Fuzzy Finite-Time Control for a Class of Stochastic Nonlinear Systems with Input Saturation

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Abstract

This paper considers the adaptive fuzzy finite-time tracking control for a class of uncertain stochastic nonlinear non-strict feedback systems with input saturation. An obvious difficulty, which has not been dealt with so far, is the simultaneous handling of input saturation and the implementation of finite-time stability in the stabilization of stochastic nonlinear non-strict feedback systems. An auxiliary system is introduced to counteract the influence of input saturation, and a novel stability criterion is used to achieve practical finite-time stable in mean square. Uncertain nonlinearity is approximated by fuzzy logic system, which eliminates the constraint of linear growth condition. In the end, a simulation example is given to prove the feasibility of this method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grants 61573177, 61773191, 61973148; Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant 2019KJI010; Natural Science Foundation of Shandong Province of China ZR2018MF028.

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Authors and Affiliations

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

    Wenjun Sun, Mengmeng Gao & Junsheng Zhao

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  1. Wenjun Sun
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  2. Mengmeng Gao
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  3. Junsheng Zhao
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Correspondence to Junsheng Zhao.

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Sun, W., Gao, M. & Zhao, J. Adaptive Fuzzy Finite-Time Control for a Class of Stochastic Nonlinear Systems with Input Saturation. Int. J. Fuzzy Syst. 24, 265–275 (2022). https://doi.org/10.1007/s40815-021-01107-9

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  • DOI: https://doi.org/10.1007/s40815-021-01107-9

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