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Output Feedback Adaptive Fuzzy Control for Uncertain Fractional-Order Nonlinear Switched System with Output Quantization

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Abstract

In this paper, a novel adaptive fuzzy controller is developed for the uncertain fractional-order switched nonlinear systems whose output is quantized by a class of sector-bounded quantizers. Since the states are not completely measurable, an observer with quantized output signal is designed to estimate the unknown system states. Meanwhile, based on the fractional Lyapunov stability criterion, the Lyapunov function with sum functions and the virtual control function with hyperbolic tangent functions are designed. Besides, in order to improve the approximation accuracy of the unknown nonlinear functions generated by fractional differential, the prediction errors and auxiliary variables of series-parallel estimation model are introduced in backstepping procedures. The simulation results show that the control scheme ensures that all the signals of the considered system remain semi-globally uniformly ultimately bounded, and the tracking error converges to a small neighborhood of the origin regardless of arbitrary switching.

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Acknowledgements

This work was supported by the Fund of the National Natural Science Foundation of China (Grant Nos. 61973068, 61973062), and the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries (Grant no. 2018ZCX23), the Scientific and Technological Innovation Leaders in Central Plains (Grant No. 194200510012) and the Science and Technology Innovative Teams in University of Henan Province (Grant No. 18IRTSTHN011).

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Authors and Affiliations

  1. College of Sciences, Northeastern University, Shenyang, 110819, China

    Xuening Tang & Ding Zhai

  2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, China

    Xuening Tang & Ding Zhai

  3. School of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, Henan, China

    Zhumu Fu

  4. College of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

    Huimin Wang

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  1. Xuening Tang
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  2. Ding Zhai
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  4. Huimin Wang
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Correspondence to Ding Zhai.

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Tang, X., Zhai, D., Fu, Z. et al. Output Feedback Adaptive Fuzzy Control for Uncertain Fractional-Order Nonlinear Switched System with Output Quantization. Int. J. Fuzzy Syst. 22, 943–955 (2020). https://doi.org/10.1007/s40815-020-00814-z

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  • DOI: https://doi.org/10.1007/s40815-020-00814-z

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