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Adaptive Fuzzy Iterative Learning Control for Systems with Saturated Inputs and Unknown Control Directions

Author

Listed:
  • Qing-Yuan Xu

    (School of Electronic and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, China)

  • Wan-Ying He

    (School of Electronic and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, China)

  • Chuang-Tao Zheng

    (School of Electronic and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, China)

  • Peng Xu

    (Software Quality Engineering Center, China Electronic Product Reliability and Environmental Testing Research Institute, Guangzhou 511370, China)

  • Yun-Shan Wei

    (School of Electronics and Communication Engineering, Guangzhou University, Guangzhou 510006, China)

  • Kai Wan

    (School of Electronic Information and Electrical Engineering, Huizhou University, Huizhou 516007, China)

Abstract

An adaptive fuzzy iterative learning control (ILC) algorithm is designed for the iterative variable reference trajectory problem of nonlinear discrete-time systems with input saturations and unknown control directions. Firstly, an adaptive fuzzy iterative learning controller is constructed by combining with the fuzzy logic system (FLS), which can compensate the loss caused by input saturation. Then, the discrete Nussbaum gain technique is adopted along the iteration axis, which can be embedded to the learning control method to identify the control direction of the system. Finally, based on the nonincreasing Lyapunov-like function, it is proven that the adaptive iterative learning controller can converge asymptotically when the number of iterations tends to infinity, and the system signals always remain bounded in the learning process. A simulation example verifies the feasibility and effectiveness of the learning control method.

Suggested Citation

  • Qing-Yuan Xu & Wan-Ying He & Chuang-Tao Zheng & Peng Xu & Yun-Shan Wei & Kai Wan, 2022. "Adaptive Fuzzy Iterative Learning Control for Systems with Saturated Inputs and Unknown Control Directions," Mathematics, MDPI, vol. 10(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3462-:d:922619
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    References listed on IDEAS

    as
    1. Yun Ho Choi & Sung Jin Yoo, 2020. "Tracking Control Strategy Using Filter-Based Approximation for the Unknown Control Direction Problem of Uncertain Pure-Feedback Nonlinear Systems," Mathematics, MDPI, vol. 8(8), pages 1-17, August.
    2. Ruikun Zhang & Zhongsheng Hou & Honghai Ji & Chenkun Yin, 2016. "Adaptive iterative learning control for a class of non-linearly parameterised systems with input saturations," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1084-1094, April.
    3. Qing-Yuan Xu & Xiao-Dong Li, 2018. "Adaptive fuzzy ILC of nonlinear discrete-time systems with unknown dead zones and control directions," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(9), pages 1878-1894, July.
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