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Modelling and control for a class of axially moving nonuniform system

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  • Zhi-Jia Zhao
  • Yu Liu
  • Fang Guo
  • Yun Fu

Abstract

In this paper, we deal with the active control problem for a class of axially moving system. The system is nonuniform due to the spatial-varying mass and spatiotemporally varying tension. The infinite dimensional model of the nonuniform system represented by the hybrid partial-ordinary differential equations is derived with consideration of the spatiotemporally varying distributed disturbance. To suppress the vibration of the nonuniform system, full state feedback boundary control is developed. For the case that the system states cannot be measured, output feedback boundary control is proposed by using the high-order observers for the estimation of the unmeasurable states. The disturbance observer is introduced to mitigate the effects of the boundary disturbance. With the proposed boundary control, the stability of the closed-loop nonuniform system is achieved through rigorous analysis and the uniform boundedness of the all closed-loop signals is guaranteed. Numerical simulations are performed to validate the performance of the control scheme proposed.

Suggested Citation

  • Zhi-Jia Zhao & Yu Liu & Fang Guo & Yun Fu, 2017. "Modelling and control for a class of axially moving nonuniform system," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 849-861, March.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:849-861
    DOI: 10.1080/00207721.2016.1217099
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    References listed on IDEAS

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    1. I. Chairez & R. Fuentes & A. Poznyak & T. Poznyak & M. Escudero & L. Viana, 2011. "DNN-state identification of 2D distributed parameter systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(2), pages 296-307.
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    Cited by:

    1. Li Wang & Shimin Lin & Jingfeng Yang & Nanfeng Zhang & Ji Yang & Yong Li & Handong Zhou & Feng Yang & Zhifu Li, 2017. "Dynamic Traffic Congestion Simulation and Dissipation Control Based on Traffic Flow Theory Model and Neural Network Data Calibration Algorithm," Complexity, Hindawi, vol. 2017, pages 1-11, December.
    2. Shaopei Chen & Ji Yang & Yong Li & Jingfeng Yang, 2017. "Multiconstrained Network Intensive Vehicle Routing Adaptive Ant Colony Algorithm in the Context of Neural Network Analysis," Complexity, Hindawi, vol. 2017, pages 1-9, September.
    3. Jianing Zhang & Ge Ma & Zhifu Li, 2018. "Boundary Robust Adaptive Control of a Flexible Timoshenko Manipulator," Complexity, Hindawi, vol. 2018, pages 1-10, November.

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