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Fixed-time adaptive fuzzy command filtering control for a class of uncertain nonlinear systems with input saturation and dead zone

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Abstract

In this article, the problem of fuzzy adaptive fixed-time control is addressed for nonstrict-feedback nonlinear systems with input saturation and dead zone. The universal approximation properties of fuzzy logic systems are employed to model the unknown nonlinear functions. A command filter-based fixed-time adaptive fuzzy control strategy is presented based on the backstepping framework and fixed-time control theory. The command filter technique is presented to address the “computational explosion” problem inherent in the backstepping scheme, and an error compensation mechanism is adopted to reduce the errors arising from command filters. Meanwhile, the non-smooth input saturation and dead zone nonlinearities are approximated using a non-affine smooth function, and they are transformed into an affine form based on the mean-value theorem. The fixed-time convergence of the tracking error and the boundedness of the closed-loop signals are proved using the fixed-time stability theory. Finally, simulation was performed to demonstrate the effectiveness of the presented method.

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Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 62173046, Grant 61773072, Grant 51939001, and Grant 61976033; and in part by the Education Department of Liaoning Province through the General Project Research under Grant LJ2020001; and in part by the Fundamental Research Funds for the Central Universities under Grant 2022JBMC029.

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Authors and Affiliations

  1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, 100044, People’s Republic of China

    Shijia Kang

  2. Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, K1S 5B6, Canada

    Peter Xiaoping Liu

  3. College of Mathematical Sciences, Bohai University, Jinzhou, 121000, Liaoning, People’s Republic of China

    Huanqing Wang

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  1. Shijia Kang
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Correspondence to Shijia Kang.

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Kang, S., Liu, P.X. & Wang, H. Fixed-time adaptive fuzzy command filtering control for a class of uncertain nonlinear systems with input saturation and dead zone. Nonlinear Dyn 110, 2401–2414 (2022). https://doi.org/10.1007/s11071-022-07731-w

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