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Adaptive Fuzzy PI Output Feedback Control for a Class of Switched Nonlinear Systems with Unmodeled Dynamics and Dead-Zone Output

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Abstract

In this paper, the problem of adaptive fuzzy proportional-integral output feedback tracking control is investigated for a class of uncertain switched nonlinear systems with dead-zone output, unknown control coefficients, and unmodeled dynamics. The unknown parameter of the dead-zone output is processed using adaptive estimation technique. A set of switched filters are developed to estimate unmeasurable states. Then, by combining fuzzy logic systems and backstepping technique, an adaptive output feedback PI tracking controller is developed, which has intuitive structure and a strong physical meaning. Finally, the boundedness of the tracking error and all signals in the closed-loop system is demonstrated via a multiple Lyapunov function. The effectiveness of the proposed scheme is confirmed through two examples.

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Acknowledgements

This work ` partially supported by the National Natural Science Foundation of China under Grant (61773236, 62173205, 61773235, 61703233, 61873331, 61803225), partially by the Natural Science Foundation Program of Shandong Province (ZR2020YQ48), partially by the Taishan Scholar Project of Shandong Province under Grant (TSQN20161033), partially by the Natural Science Foundation of Anhui Provincial (1908085MF219) and partially by Postdoctoral Science Foundation of China (2017M612236,2019T120574).

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Authors and Affiliations

  1. School of Engineering, Qufu Normal University, Rizhao, 276826, Shandong, People’s Republic of China

    Hongyao Li & Haibin Sun

  2. School of Information Science and Engineering, Qufu Normal University, Rizhao, 276826, Shandong, People’s Republic of China

    Linlin Hou

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  1. Hongyao Li
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Correspondence to Haibin Sun.

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Li, H., Sun, H. & Hou, L. Adaptive Fuzzy PI Output Feedback Control for a Class of Switched Nonlinear Systems with Unmodeled Dynamics and Dead-Zone Output. Int. J. Fuzzy Syst. 24, 728–751 (2022). https://doi.org/10.1007/s40815-021-01174-y

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