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Fast Finite-Time Fuzzy Control for a Class of Nonstrict Feedback Systems with Input Quantization

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Abstract

In this research, a fast finite-time control scheme is proposed for nonstrict feedback systems with quantized input signals. It is known that nonstrict feedback form and input quantization are common problems caused by the complexity and performance requirements in practical systems. To deal with these difficulties, the obstacle generated by the nonstrict feedback structure is first solved by a fuzzy logic system (FLS) through the amazing characteristic of the Gaussian function. Second, a nonlinear decomposition method for the hysteretic quantizer is applied to simplify the procedures of controller design and stability analysis. Next, an adaptive controller is designed using backstepping theory, and a fast finite-time stability criterion is introduced to confirm its effectiveness and stability. Then, a given simulation example and a practical nonstrict feedback application about one-link manipulator are presented to demonstrate the effectiveness and feasibility of the proposed method. The simulation results illustrate that the proposed adaptive fuzzy controller ensures all the state variables are bounded and the tracking error converges to a small interval around zero.

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Acknowledgements

This work was supported in part by the Zhishan Young Scholar Program of Southeast University and in part by the Fundamental Research Funds for the Central Universities under Grant 2242021R41118. Besides, we thank the Big Data Computing Center of Southeast University for providing the facility support on the numerical calculations.

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Authors and Affiliations

  1. School of Automation, Southeast University, Nanjing, 210096, China

    Yihao Zhang, Liping Xie & Kanjian Zhang

  2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Nanjing, 210096, China

    Yihao Zhang, Liping Xie & Kanjian Zhang

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  1. Yihao Zhang
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Correspondence to Liping Xie.

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Zhang, Y., Xie, L. & Zhang, K. Fast Finite-Time Fuzzy Control for a Class of Nonstrict Feedback Systems with Input Quantization. Int. J. Fuzzy Syst. 25, 1213–1226 (2023). https://doi.org/10.1007/s40815-022-01434-5

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