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Preview Tracking Control for Discrete-Time Multirate Systems: An Internal Model-Based Approach

Author

Listed:
  • Yuedou Pan

    (School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China)

  • Mengtong Pei

    (School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China)

  • Li Li

    (School of Information Management and Statistics, Hubei University of Economics, Wuhan 430205, China
    Collaborative Innovation Center of China Pilot Reform Exploration and Assessment-Hubei Sub-Center, Hubei University of Economics, Wuhan 430205, China)

  • Yanrong Lu

    (School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China)

Abstract

This paper investigates the preview tracking problem for discrete-time multirate systems under the scenario of the external signals with amplitude non-attenuation. Since the input and the state cannot be measured at the same time, the multirate system is first lifted into the single-rate system. Noting that the external signals are previewable and their amplitudes are unattenuated, an auxiliary system with preview information and a dynamic compensator with internal model are introduced, respectively. On this basis, the preview tracking problem can be converted to the output regulation problem of an augmented system with the aid of the state augmentation technique. Through verifying the solvability of the output regulation problem, the sufficient conditions and the corresponding controller with preview action and feedforward compensation are presented for the output regulation problem as well as the original problem. Finally, a numeric simulation result is provided to verify the validity of the proposed method.

Suggested Citation

  • Yuedou Pan & Mengtong Pei & Li Li & Yanrong Lu, 2020. "Preview Tracking Control for Discrete-Time Multirate Systems: An Internal Model-Based Approach," Mathematics, MDPI, vol. 8(9), pages 1-20, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1443-:d:405445
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    References listed on IDEAS

    as
    1. Jiang Wu & Fucheng Liao & Jiamei Deng, 2016. "Optimal Preview Control for a Class of Linear Continuous Stochastic Control Systems in the Infinite Horizon," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-9, October.
    2. Fucheng Liao & Yujian Guo, 2016. "Optimal Preview Control for Discrete-Time Systems in Multirate Output Sampling," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-10, October.
    3. Mengjuan Cao & Fucheng Liao, 2015. "Design of an optimal preview controller for linear discrete-time descriptor systems with state delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 932-943, April.
    4. Yujian Guo & Fucheng Liao, 2016. "Design of Optimal Output Regulators for Dual-Rate Linear Discrete-Time Systems Based on the Lifting Technique," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-10, June.
    5. Xiao Yu & Fucheng Liao & Jiamei Deng, 2018. "Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-15, September.
    Full references (including those not matched with items on IDEAS)

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