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Direct Adaptive Fuzzy Control of SISO Nonlinear Systems with Input–Output Nonlinear Relationship

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Abstract

Because the nonlinear relationship between the input and output generally exists in many actual systems. In this paper, a new design method of direct adaptive fuzzy controller is proposed for this class of SISO nonlinear systems. The adaptive law and constraint conditions of the system parameters are given in this study. The stability of the closed-loop system is proved with all state variables being uniformly bounded in the Lyapunov sense. Additionally, the convergence of the fuzzy control system is analyzed. Finally, the simulation results obtained for the practical example show the feasibility, effectiveness and widely use of the designed method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (11072090) and the Opening Project of Guangxi Key Laboratory of Automobile Components and Vehicle Technology, Guangxi University of Science and Technology (012KFMS12).

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Authors and Affiliations

  1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, China

    Faxiang Zhang, Yimin Li & Jing Hua

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  1. Faxiang Zhang
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  2. Yimin Li
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  3. Jing Hua
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Correspondence to Yimin Li.

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Zhang, F., Li, Y. & Hua, J. Direct Adaptive Fuzzy Control of SISO Nonlinear Systems with Input–Output Nonlinear Relationship. Int. J. Fuzzy Syst. 20, 1069–1078 (2018). https://doi.org/10.1007/s40815-017-0414-y

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  • DOI: https://doi.org/10.1007/s40815-017-0414-y

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