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Adaptive fuzzy dynamic surface control for a class of nonlinear systems with fuzzy dead zone and dynamic uncertainties

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Abstract

In this paper, a fuzzy adaptive dynamic surface control is developed for a class of nonlinear systems with fuzzy dead zone and dynamic uncertainties. The nonlinear systems addressed in this paper are assumed to possess the unmodeled dynamics, dynamical disturbances and unknown nonlinear functions. By using a new scheme, the assumption on the dynamic uncertainties is relaxed, but the control law is simpler than the ones in the existing papers. Moreover, the dead zone input of the nonlinear systems is fuzzy, and by defuzzifying for fuzzy dead zone \(\tilde{\Gamma }(u)\) and adopting an integrated design, a new fuzzy controller is constructed. It is shown that, despite fuzzy dead zone input \(\tilde{\Gamma }(u)\), the proposed integrated fuzzy controller can guarantee the desired tracking performance. Finally, simulation example demonstrates the effectiveness of the proposed scheme.

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Acknowledgments

The authors would like to thank the Associate Editor and the anonymous reviewers for their constructive comments and suggestions that have contributed to the improvement of this paper.

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Authors and Affiliations

  1. Automation, Guangdong University of Technology, Guangzhou, China

    Fang Wang, Zhi Liu & Yun Zhang

  2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China

    Fang Wang

  3. Mechanical Engineering, Guangdong University of Technology, Guangzhou, China

    Xin Chen

  4. Faculty of Science and Technology, University of Macau, Taipa, Macau

    C. L. Philip Chen

Authors
  1. Fang Wang
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  2. Zhi Liu
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  3. Yun Zhang
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  4. Xin Chen
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  5. C. L. Philip Chen
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Corresponding author

Correspondence to Zhi Liu.

Additional information

This work was supported by the National Natural Science Foundation of China under Project U1134004, and Science Fund for Distinguished Young Scholars S20120011437, 2011Zhujiang New Star, the Ministry of education of New Century Excellent Talent (NCET-12-0637), the 973 Program of China 2011CB013104, and by the Doctoral Fund of Ministry of Education of China under Grant 20124420130001.

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Wang, F., Liu, Z., Zhang, Y. et al. Adaptive fuzzy dynamic surface control for a class of nonlinear systems with fuzzy dead zone and dynamic uncertainties. Nonlinear Dyn 79, 1693–1709 (2015). https://doi.org/10.1007/s11071-014-1768-4

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  • DOI: https://doi.org/10.1007/s11071-014-1768-4

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