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Observer-Based Finite-Time Prescribed Performance Adaptive Fuzzy Control for Nonlinear Systems with Hysteresis Nonlinearity

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Abstract

This paper researches the problem of finite-time prescribed performance adaptive fuzzy control for uncertain strict-feedback nonlinear systems with Bouc-Wen type of hysteresis input. A finite-time performance function with faster convergence speed is employed to the process of the controller devise. Simultaneously, the effect of unknown hysteresis input is compensated by approximating an intermediate parameter. Moreover, an observer-based finite-time prescribed performance adaptive fuzzy tracking controller is recursively devised via using backstepping technology, which can ensure that the tracking error converges to a specified zone in finite-time and all closed-loop signals of the controlled system are bounded. Finally, the effectiveness of the control strategy is verified by simulation.

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Funding

Supported in part by the Program for Science and Technology Innovation Talents in the University of Henan Province (23HASTIT021), the Scientific and Technological Project of Henan Province (222102210056, 222102240009), the Science and Technology Development Plan of Joint Research Program of Henan (222103810036), the Open Fund of Inner Mongolia Key Laboratory of Electromechanical Control (IMMEC2022001, IMMEC2022002), the Key Scientific Research Projects of Universities in Henan Province (22A413002), Postgraduate Education Reform and Quality Improvement Project of Henan Province (YJS2021AL035), Academic Degrees & Graduate Education Reform Project of Henan Province (2021SJGLX141Y).

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Authors and Affiliations

  1. College of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, Henan, China

    Zhumu Fu, Hanzheng Ju, Nan Wang, Longyin Jiao & Fazhan Tao

  2. Longmen Laboratory, Luoyang, 471023, Henan, China

    Nan Wang & Fazhan Tao

  3. Key Laboratory of Robot and Intelligent System of Henan Province, Henan University of Science and Technology, Luoyang, 471023, Henan, China

    Zhumu Fu, Hanzheng Ju, Nan Wang & Longyin Jiao

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  1. Zhumu Fu
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  2. Hanzheng Ju
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  3. Nan Wang
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  5. Fazhan Tao
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Correspondence to Fazhan Tao.

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Fu, Z., Ju, H., Wang, N. et al. Observer-Based Finite-Time Prescribed Performance Adaptive Fuzzy Control for Nonlinear Systems with Hysteresis Nonlinearity. Int. J. Fuzzy Syst. 25, 2397–2410 (2023). https://doi.org/10.1007/s40815-023-01507-z

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