Vibration Control of a Flexible Aerial Refueling Hose with Input Saturation

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


In Chap.  5, we developed a PDE model for a flexible aerial refueling hose system during coupling. As we know, a hose-drogue aerial refueling system consists of a flexible hose and an active drogue control actuator, which are the most universal refueling equipments of probe-drogue refueling (PDR). The probe and drogue systems are comparatively simpler and more compact than the flying boom, and their arrangement on the tanker enables multiple aircraft to be refueled simultaneously. The significant drawback is that PDR requires a skillful piloting technique of maneuvering a probe into the center of a moving drogue with an acceptable closure rate. However, due to the flexible property of the hose, the deflection of the flexible hose has a significant influence on the dynamics and control performance of the AAR, which brings difficulties to the coupling. In order to solve this problem, we will establish a model for a flexible aerial refueling hose system before coupling, and develop an efficient boundary control scheme to suppress vibrations. Moreover, considering that common active drogue control actuators which consists of a set of aerodynamic control surface [5, 7] or other kinds of controllable drogues [6] cannot provide enough control input, which degrades the performance of the control system or leads to the instability.


  1. 1.
    He W, Ge SS (2016) Cooperative control of a nonuniform gantry crane with constrained tension. Automatica 66:146–154MathSciNetCrossRefGoogle Scholar
  2. 2.
    He W, Zhang S (2016) Control design for nonlinear flexible wings of a robotic aircraft. IEEE Trans Control Syst Technol 25(1):351–357CrossRefGoogle Scholar
  3. 3.
    He W, Zhang S, Ge SS (2014) Adaptive control of a flexible crane system with the boundary output constraint. IEEE Trans Ind Electron 61(8):4126–4133CrossRefGoogle Scholar
  4. 4.
    Jin F-F, Guo B-Z (2015) Lyapunov approach to output feedback stabilization for the Euler-Bernoulli beam equation with boundary input disturbance. Automatica 52:95–102MathSciNetCrossRefGoogle Scholar
  5. 5.
    Ro K, Kuk T, Kamman JW (2010) Active control of aerial refueling hose-drogue systems. In: AIAA Guidance, Navigation, and Control Conference, Toronto, Ontario, Canada, p 8400Google Scholar
  6. 6.
    Thomas PR, Bhandari U, Bullock S, Richardson TS, Du Bois JL (2014) Advances in air to air refuelling. Prog Aerosp Sci 71:14–35CrossRefGoogle Scholar
  7. 7.
    Williamson WR, Reed E, Glenn GJ, Stecko SM, Musgrave J, Takacs JM (2010) Controllable drogue for automated aerial refueling. J Aircr 47(2):515–527CrossRefGoogle 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

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