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Boundary Controller Design for a Class of Horizontal Belt Transmission System with Boundary Vibration Constraint

Author

Listed:
  • Runhuan Sun

    (College of Science, Liaoning University of Technology, Jinzhou 121001, China)

  • Li Tang

    (College of Science, Liaoning University of Technology, Jinzhou 121001, China)

  • Yanjun Liu

    (College of Science, Liaoning University of Technology, Jinzhou 121001, China)

Abstract

In this paper, the problem of transverse vibration suppression of a belt system moving in the horizontal direction is investigated. This system is characterized by the boundary vibration constraint and is affected by external disturbances. For it, we introduced a logarithmic function in the candidate term of the Lyapunov function and used a symbolic function in the controller to compensate for the effects of boundary vibration constraints and boundary disturbances, respectively. In order to better achieve the control objective, we designed a boundary control scheme. The state feedback boundary controller was designed using the boundary signals of the system when they can be available directly. Considering the presence of noise in the practical system, some system signals cannot be measured accurately. Therefore, a high-gain observer was introduced to estimate these signals, and an output feedback boundary controller was designed. Finally, the simulation example showed that both controllers guarantee effective suppression of the transverse vibration of the system without violating the boundary vibration constraints.

Suggested Citation

  • Runhuan Sun & Li Tang & Yanjun Liu, 2022. "Boundary Controller Design for a Class of Horizontal Belt Transmission System with Boundary Vibration Constraint," Mathematics, MDPI, vol. 10(9), pages 1-19, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1391-:d:798766
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    References listed on IDEAS

    as
    1. Asif Iqbal Malik & Byung Soo Kim, 2020. "A Constrained Production System Involving Production Flexibility and Carbon Emissions," Mathematics, MDPI, vol. 8(2), pages 1-21, February.
    2. Haoyu Dong & Changna Lu & Hongwei Yang, 2018. "The Finite Volume WENO with Lax–Wendroff Scheme for Nonlinear System of Euler Equations," Mathematics, MDPI, vol. 6(10), pages 1-17, October.
    3. Francisco Beltran-Carbajal & Hugo Francisco Abundis-Fong & Luis Gerardo Trujillo-Franco & Hugo Yañez-Badillo & Antonio Favela-Contreras & Eduardo Campos-Mercado, 2022. "Online Frequency Estimation on a Building-like Structure Using a Nonlinear Flexible Dynamic Vibration Absorber," Mathematics, MDPI, vol. 10(5), pages 1-14, February.
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    Cited by:

    1. Shuyan Qi & Jun Zhao & Li Tang, 2023. "Adaptive Output Feedback Control for Constrained Switched Systems with Input Quantization," Mathematics, MDPI, vol. 11(3), pages 1-16, February.

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