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Prescribed performance adaptive fuzzy output-feedback control of uncertain nonlinear systems with unmodeled dynamics

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Abstract

In this paper, an adaptive fuzzy output-feedback control approach is proposed for a class of uncertain nonlinear systems with unknown nonlinear functions, unmodeled dynamics, and without the measurements of the states. The fuzzy logic systems are used to approximate the unknown nonlinear functions, and a fuzzy state observer is designed for estimating the unmeasured states. To solve the problem of unmodeled dynamics, the dynamical signal combined with changing supply function is incorporated into the backstepping recursive design technique. Under the framework of the backstepping control design technique and incorporated by the predefined performance technique, a new robust adaptive fuzzy output feedback control scheme is constructed. It is shown that all the signals of the resulting closed-loop system are bounded, and the system output remains an adjustable neighborhood of the origin with the prescribed performance bounds. A simulation example and comparison with the previous control methods are provided to show the effectiveness of the proposed control approach.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 61374113, 61074014, 61203008), Liaoning Innovative Research Team in University (LT2012013).

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Authors and Affiliations

  1. Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, 121000, Liaoning, China

    Lili Zhang, Shaocheng Tong & Yongming Li

Authors
  1. Lili Zhang
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  2. Shaocheng Tong
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  3. Yongming Li
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Correspondence to Lili Zhang.

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Zhang, L., Tong, S. & Li, Y. Prescribed performance adaptive fuzzy output-feedback control of uncertain nonlinear systems with unmodeled dynamics. Nonlinear Dyn 77, 1653–1665 (2014). https://doi.org/10.1007/s11071-014-1407-0

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  • DOI: https://doi.org/10.1007/s11071-014-1407-0

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