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Novel quantized fuzzy adaptive design for nonlinear systems with sliding mode technique

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Abstract

This article examines the fuzzy adaptive design and the sliding mode control issue for a class of quantized systems subject to input nonlinearities. We establish a new quantized adaptive fuzzy law to approximate unstructured uncertainties, which uses quantized state signals instead of the real states. Then, we propose using the sliding mode control method with static logarithmic quantizer to eliminate the effects of input nonlinearities. Using the developed control scheme, quantized errors are compensated efficiently, and the designed sliding surface’s reachability can be ascertained. Finally, we give a demonstrative example to verify the advantages and efficiency of the developed control approach.

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Acknowledgements

This study was funded by the National Natural Science Foundation of China (No. 61603221); the Natural Science Foundation of Shandong Province (No. ZR2016FB11); the China Postdoctoral Science Foundation (No. 2017M610437); the Special Foundation for Postdoctoral Science Foundation of Shandong Province (No. 201601014); and the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325.

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  1. Yanzheng Zhu

    Present address: College of Mechanical Engineering and Automation, Huaqiao University, Xiamen, 361021, China

Authors and Affiliations

  1. College of Automation, Harbin Engineering University, Harbin, 150001, China

    Liheng Chen & Yanzheng Zhu

  2. School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, NSW, 2751, Australia

    Yanzheng Zhu

  3. School of Electrical Engineering, Korea University, Seoul, 136-701, Korea

    Choon Ki Ahn

Authors
  1. Liheng Chen
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  2. Yanzheng Zhu
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Correspondence to Yanzheng Zhu.

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Chen, L., Zhu, Y. & Ahn, C.K. Novel quantized fuzzy adaptive design for nonlinear systems with sliding mode technique. Nonlinear Dyn 96, 1635–1648 (2019). https://doi.org/10.1007/s11071-019-04875-0

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