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Adaptive Fuzzy Control of Strict-Feedback Nonlinear Time-Delay Systems with Full-State Constraints

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Abstract

This paper addresses the issue of adaptive fuzzy tracking control in the case of strict-feedback nonlinear time-delay systems with full-state constraints. Design procedures of the state controller are provided based on the fuzzy systems which are adopted to identify the totally unknown package nonlinear functions and avoid burdensome computations properly. The main novelty of this paper is the delicate selection of tan-type barrier Lyapunov functions and Lyapunov–Krasovskii functionals to deal with state constraints and time-delay terms. The successful construction of an original simpler controller allows that the output tracking errors converge to a sufficiently small neighborhood of the origin, while the constraints on the system states will not be violated during operation. Finally, a benchmark example is given to demonstrate the effectiveness of the design scheme.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (61603170, 61773237), China Postdoctoral Science Foundation Funded Project (2017M610414), Shandong Province Quality Core Curriculum of Postgraduate Education (SDYKC17079), Shandong Province Natural Science Foundation (ZR2016FL12), Project of Shandong Province Higher Educational Science and Technology Program (J16L117). Special Fund Plan for Local Science and Technology Development led by Central Authority.

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Authors and Affiliations

  1. School of Mathematics Science, Liaocheng University, Liaocheng, China

    Wei Sun, Wenxing Yuan & Junsheng Zhao

  2. School of Automation, Nanjing University of Science and Technology, Nanjing, China

    Yu Shao

  3. Institute of Automation, Qufu Normal University, Qufu, China

    Zongyao Sun

  4. School of Mechanical and Automotive Engineering, Liaocheng University, Liaocheng, China

    Qun Sun

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  1. Wei Sun
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  2. Wenxing Yuan
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  3. Yu Shao
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  4. Zongyao Sun
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  5. Junsheng Zhao
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  6. Qun Sun
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Correspondence to Wei Sun.

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Sun, W., Yuan, W., Shao, Y. et al. Adaptive Fuzzy Control of Strict-Feedback Nonlinear Time-Delay Systems with Full-State Constraints. Int. J. Fuzzy Syst. 20, 2556–2565 (2018). https://doi.org/10.1007/s40815-018-0545-9

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  • DOI: https://doi.org/10.1007/s40815-018-0545-9

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