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Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction

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Abstract

This study investigates an adaptive fixed-time tracking problem of nonlinear interconnected high-order systems with unknown control direction and stochastic disturbances. Under the framework of adaptive feedback, the backstepping method and fuzzy logic system are utilized to handle the stochastic disturbances and the packaged unknown nonlinearities. By utilizing the Nussbaum gain technique, an adaptive fixed-time controller is proposed to overcome the difficulties associated with unknown control directions. Distinguishing from the most existing results, a modified fixed-time control scheme is presented to deal with the positive odd integer terms from the interconnected high-order system with the help of adding a power integrator method. The designed control strategy guarantees that the tracking error converges within a fixed settling time and all signals of the closed-loop system are fixed-time stable. Simulation results validate the designed control approach.

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Data availability

Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study. This work was supported in part by the National Natural Science Foundation of China under Grant 62173046.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 62173046.

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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

    Wen Bai

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

    Peter Xiaoping Liu

  3. School of Mathematics Science, Bohai University, Jinzhou, 121000, Liaoning, People’s Republic of China

    Huanqing Wang

Authors
  1. Wen Bai
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  2. Peter Xiaoping Liu
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  3. Huanqing Wang
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Correspondence to Wen Bai or Peter Xiaoping Liu.

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Bai, W., Liu, P.X. & Wang, H. Fixed-time adaptive fuzzy control for nonlinear interconnection high-order systems with unknown control direction. Nonlinear Dyn 111, 17079–17093 (2023). https://doi.org/10.1007/s11071-023-08724-z

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  • DOI: https://doi.org/10.1007/s11071-023-08724-z

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