Modeling and Vibration Control of a Flexible Aerial Refueling Hose with Variable Lengths and Input Constraint

  • Zhijie LiuEmail author
  • Jinkun Liu
Part of the Springer Tracts in Mechanical Engineering book series (STME)


In Chaps.  5 7, we study the modeling and control design for a flexible aerial refueling hose system during coupling or before coupling but with fixed length of the hose. In practice, the elongation of the hose will seriously affect the dynamics and control performance, which will lead to premature fatigue failure. In this chapter, we will present boundary control design for a flexible aerial refueling hose with varying length, horizontal and vertical speeds. Modeling and control of moving systems have typically been studied [2, 6, 7]. In [5], boundary control schemes are proposed to reduce the vibrations of a stretched moving string, where an iterative learning algorithm is used to deal with the effects of the external boundary disturbance.


  1. 1.
    He W, Ge SS, Huang D (2015) Modeling and vibration control for a nonlinear moving string with output constraint. IEEE/ASME Trans Mech 1–12 (2015)Google Scholar
  2. 2.
    Li Y, Rahn CD (2000) Adaptive vibration isolation for axially moving beams. IEEE/ASME Trans Mech 5(4):419–428CrossRefGoogle Scholar
  3. 3.
    Nguyen QC, Hong K-S (2012) Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking. J Sound Vib 331(13):3006–3019CrossRefGoogle Scholar
  4. 4.
    Nguyen QC, Hong K-S (2012) Transverse vibration control of axially moving membranes by regulation of axial velocity. IEEE Trans Control Syst Technol 20(4):1124–1131CrossRefGoogle Scholar
  5. 5.
    Zhihua Q (2002) An iterative learning algorithm for boundary control of a stretched moving string. Automatica 38(5):821–827MathSciNetCrossRefGoogle Scholar
  6. 6.
    Zhu WD, Ni J (2000) Energetics and stability of translating media with an arbitrarily varying length. J Vib Acoust 122(3):295–304CrossRefGoogle Scholar
  7. 7.
    Zhu WD, Ni J, Huang J (2001) Active control of translating media with arbitrarily varying length. J Vib Acoust 123(3):347–358CrossRefGoogle Scholar

Copyright information

© Tsinghua University Press 2020

Authors and Affiliations

  1. 1.School of Automation and Electrical EngineeringUniversity of Science and Technology BeijingBeijingChina
  2. 2.School of Automation Science and Electrical EngineeringBeihang UniversityBeijingChina

Personalised recommendations