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Finite-Time Adaptive Fuzzy Command Filtered Backstepping Control for a Class of Nonlinear Systems

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Abstract

In this article, the problem of adaptive fuzzy finite-time command filtered control is considered for a class of nonstrict-feedback nonlinear systems. The explosion of complexity problem is dealt with by employing the command filter approach. In order to design a finite-time control scheme, a finite-time semi-global practical stability criterion is first presented. Based on this criterion, by applying the command filter technology and backstepping technique, adaptive fuzzy finite-time tracking control scheme is developed with the help of fuzzy logic systems approximation. Under the presented adaptive control scheme, all the closed-loop variables are semi-global practical finite-time stable and the tracking error goes into an adjustable neighborhood around the origin in a finite time. Finally, simulations are utilized to verify the effectiveness of designed control scheme.

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Acknowledgements

This work was supported by National Natural Science Foundation of China under Grants 61773072 and 61773073, the Innovative Talents Project of Liaoning Province of China under Grant LR2016040, and in part by the Natural Science Foundation of Liaoning Province of China under Grant 20180550691 and 20180550590, the Natural Science Foundation of Heilongjiang Province of China under Grant YQ2019F004, in part by the Fundamental Research Funds for the Central Universities under Grant 3072019CFJ0401 and the Taishan Scholar Project of Shandong Province of China under Grant 2015162 and tsqn201812093.

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Authors and Affiliations

  1. School of Mathematics and Physics, Bohai University, Jinzhou, 121000, Liaoning, China

    Huanqing Wang & Shijia Kang

  2. The College of Automation, Harbin Engineering University, Harbin, 150001, China

    Zhiguang Feng

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  1. Huanqing Wang
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  2. Shijia Kang
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Correspondence to Shijia Kang.

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Wang, H., Kang, S. & Feng, Z. Finite-Time Adaptive Fuzzy Command Filtered Backstepping Control for a Class of Nonlinear Systems. Int. J. Fuzzy Syst. 21, 2575–2587 (2019). https://doi.org/10.1007/s40815-019-00749-0

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