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Adaptive fuzzy funnel control for nonlinear systems with input deadzone and saturation

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  • Cungen Liu
  • Huanqing Wang
  • Xiaoping Liu
  • Yucheng Zhou

Abstract

This paper, for the first time, focuses on the problem of funnel control for strict-feedback systems with input deadzone and saturation, simultaneously. A new smooth function in non-affine form is firstly proposed to approximate the non-smooth input deadzone and saturation and transformed into an affine form by the mean-value theorem. The unknown nonlinear functions and external disturbances are estimated by fuzzy logic systems. An improved funnel error is given and embedded in the procedure of controller design. Based on the backstepping method, an adaptive fuzzy funnel controller is constructed, which guarantees that the output tracking error falls within a pre-set funnel and all the signals in the closed-loop system are semi-globally uniformly and ultimately bounded. Simulation results demonstrate the effectiveness of the developed controller.

Suggested Citation

  • Cungen Liu & Huanqing Wang & Xiaoping Liu & Yucheng Zhou, 2020. "Adaptive fuzzy funnel control for nonlinear systems with input deadzone and saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(9), pages 1542-1555, July.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1542-1555
    DOI: 10.1080/00207721.2020.1766153
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    Cited by:

    1. Yan Cao & Towhid Pourrostam & Yousef Zandi & Nebojša Denić & Bogdan Ćirković & Alireza Sadighi Agdas & Abdellatif Selmi & Vuk Vujović & Kittisak Jermsittiparsert & Momir Milic, 2021. "RETRACTED ARTICLE: Analyzing the energy performance of buildings by neuro-fuzzy logic based on different factors," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(12), pages 17349-17373, December.

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