309
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Vibration control of a flexible aerial refuelling hose with input saturation

, &
Pages 971-983 | Received 10 Apr 2016, Accepted 17 Aug 2016, Published online: 06 Sep 2016

References

  • Adams, R.A., & Fournier, J.J. (2003). Sobolev spaces (Vol. 140). New York, NY: Academic Press.
  • Adetola, V., DeHaan, D., & Guay, M. (2009). Adaptive model predictive control for constrained nonlinear systems. Systems & Control Letters, 58(5), 320–326.
  • Ailon, A. (2010). Simple tracking controllers for autonomous VTOL aircraft with bounded inputs. IEEE Transactions on Automatic Control, 55(3), 737–743.
  • Chen, M., Ge, S.S., & How, B.V.E. (2010). Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Transactions on Neural Networks, 21(5), 796–812.
  • Chen, M., Ge, S.S., & Ren, B. (2011). Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica, 47(3), 452–465.
  • De Queiroz, M.S., Dawson, D.M., Nagarkatti, S.P., & Zhang, F. (2012). Lyapunov-based control of mechanical systems. New York, NY: Springer Science & Business Media.
  • Do, K.D., & Pan, J. (2008). Boundary control of transverse motion of marine risers with actuator dynamics. Journal of Sound and Vibration, 318(4), 768–791.
  • Gao, W., & Selmic, R.R. (2006). Neural network control of a class of nonlinear systems with actuator saturation. IEEE Transactions on Neural Networks, 17(1), 147–156.
  • Ge, S.S., Hong, F., & Lee, T.H. (2004). Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 34(1), 499–516.
  • Gikhman, I.I., Skorokhod, A.U.I.V., & Technica, S. (1969). Introduction to the theory of random processes. Philadelphia, PA: WB Saunders.
  • Grimm, G., Hatfield, J., Postlethwaite, I., Teel, A.R., Turner, M.C., & Zaccarian, L. (2003). Antiwindup for stable linear systems with input saturation: An LMI-based synthesis. IEEE Transactions on Automatic Control, 48(9), 1509–1525.
  • Guo, B.Z., & Kang, W. (2014). Lyapunov approach to the boundary stabilisation of a beam equation with boundary disturbance. International Journal of Control, 87(5), 925–939.
  • He, W., & Ge, S.S. (2015a). Vibration control of a flexible beam with output constraint. IEEE Transactions on Industrial Electronics, 64(8), 5023–5030.
  • He, W., & Ge, S.S. (2015b). Vibration control of a nonuniform wind turbine tower via disturbance observer. IEEE/ASME Transactions on Mechatronics, 20(1), 237–244.
  • He, W., & Ge, S.S. (2016). Cooperative control of a nonuniform gantry crane with constrained tension. Automatica, 66, 146–154.
  • He, W., Ge, S.S., & Huang, D. (2015). Modeling and vibration control for a nonlinear moving string with output constraint. IEEE/ASME Transactions on Mechatronics, 20(4), 1886–1897.
  • He, W., Sun, C., & Ge, S.S. (2015). Top tension control of a flexible marine riser by using integral-barrier Lyapunov function. IEEE/ASME Transactions on Mechatronics, 20(2), 497–505.
  • He, W., Zhang, S., & Ge, S.S. (2014). Adaptive control of a flexible crane system with the boundary output constraint. IEEE Transactions on Industrial Electronics, 61(8), 4126–4133.
  • Hong, K.S. (1997). Asymptotic behavior analysis of a coupled time-varying system: Application to adaptive systems. IEEE Transactions on Automatic Control, 42(12), 1693–1697.
  • 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, 95–102.
  • Kuk, T., Ro, K., & Kamman, J.W. (2011). Design, test and evaluation of an actively stabilized drogue refueling system. Journal of Guidance, Control, and Dynamics, 34 (6), 1694–1708.
  • Li, H., & Shi, Y. (2014). Robust distributed model predictive control of constrained continuous-time nonlinear systems: A robustness constraint approach. IEEE Transactions on Automatic Control, 59(6), 1673–1678.
  • Lions, J.L. (1969). Quelques méthodes de résolution des problemes aux limites non linéaires (Vol. 31). Paris: Dunod.
  • Liu, Z., Liu, J., & He, W. (2015). Adaptive boundary control of a flexible manipulator with input saturation. International Journal of Control, 89 (6), 1191–1202.
  • Liu, Z., Liu, J., & He, W. (2016a). Dynamic modeling and vibration control of a flexible aerial refueling hose. Aerospace Science & Technology, 55, 92–102.
  • Liu, Z., Liu, J., & He, W. (2016b). Partial differential equation boundary control of a flexible manipulator with input saturation. International Journal of Systems Science. Advance online publication. doi:10.1080/00207721.2016.1152416
  • Meirovitch, L., & Baruh, H. (1983). On the problem of observation spillover in self-adjoint distributed-parameter systems. Journal of Optimization Theory and Applications, 39(2), 269–291.
  • Nguyen, Q.C., & Hong, K.S. (2010). Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control. Journal of Sound and Vibration, 329(22), 4588–4603.
  • Prieur, C., Tarbouriech, S., & Da Silva, J.M.G. (2016). Wave equation with cone-bounded control laws. IEEE Transactions on Automatic Control, Advance online publication. doi:10.1109/TAC.2016.2519759
  • Rahn, C.D. (2001). Mechatronic control of distributed noise and vibration, New York, NY: Springer.
  • Ro, K., & Kamman, J.W. (2010). Modeling and simulation of hose-paradrogue aerial refueling systems. Journal of Guidance, Control, and Dynamics, 33(1), 53–63.
  • Ro, K., Kuk, T., & Kamman, J.W. (2011). Dynamics and control of hose-drogue refueling systems during coupling. Journal of Guidance, Control, and Dynamics, 34(6), 1694–1708.
  • Slemrod, M. (1989). Feedback stabilization of a linear control system in Hilbert space with an a priori bounded control. Mathematics of Control, Signals and Systems, 2(3), 265–285.
  • Vakil, M., Fotouhi, R., & Nikiforuk, P.N. (2011). End-effector trajectory tracking of a flexible link manipulator using integral manifold concept. International Journal of Systems Science, 42(12), 2057–2069.
  • Wang, H., Dong, X., Xue, J., & Liu, J. (2014). Dynamic modeling of a hose-drogue aerial refueling system and integral sliding mode backstepping control for the hose whipping phenomenon. Chinese Journal of Aeronautics, 27(4), 930–946.
  • Wang, J.W., Wu, H.N., & Li, H.X. (2012). Distributed proportional–spatial derivative control of nonlinear parabolic systems via fuzzy PDE modeling approach. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 42(3), 927–938.
  • Wen, C., Zhou, J., Liu, Z., & Su, H. (2011). Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Transactions on Automatic Control, 56(7), 1672–1678.
  • Williams, P., Sgarioto, D., & Trivailo, P. (2006). Optimal control of an aircraft-towed flexible cable system. Journal of Guidance, Control, and Dynamics, 29(2), 401–410.
  • Williams, P., & Trivailo, P. (2007). Dynamics of circularly towed aerial cable systems, part I: Optimal configurations and their stability. Journal of Guidance, Control, and Dynamics, 30(3), 753–765.
  • Wu, H.N., & Li, H.X. (2007). Finite-dimensional constrained fuzzy control for a class of nonlinear distributed process systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 37(5), 1422–1430.
  • Wu, H.N., Zhu, H.Y., & Wang, J.W. (2015). Fuzzy control for a class of nonlinear coupled ODE-PDE systems with input constraint. IEEE Transactions on Fuzzy Systems, 23(3), 593–604.
  • Yang, K.J., Hong, K.S., & Matsuno, F. (2004). Robust adaptive boundary control of an axially moving string under a spatiotemporally varying tension. Journal of Sound and Vibration, 273(4), 1007–1029.
  • Zhu, W.D., Ni, J., & Huang, J. (2001). Active control of translating media with arbitrarily varying length. Journal of Vibration and Acoustics, 123(3), 347–358.
  • Zhu, Z.H., & Meguid, S.A. (2007). Modeling and simulation of aerial refueling by finite element method. International Journal of Solids and Structures, 44(24), 8057–8073.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.