290
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Adaptive output-feedback stabilisation for hybrid PDE–ODE systems with uncertain input disturbances

, &
Pages 2507-2519 | Received 25 Sep 2015, Accepted 15 Mar 2016, Published online: 20 Apr 2016

References

  • Aamo, O.M. (2013). Disturbance rejection in 2 × 2 linear hyperbolic systems. IEEE Transactions on Automatic Control, 58(5), 1095–1106.
  • Anfinsen, H., & Aamo, O.M. (2015). Disturbance rejection in the interior domain of linear 2 × 2 hyperbolic systems. IEEE Transactions on Automatic Control, 60(1), 186–191.
  • Curtain, R.F., & Zwart, H. (1995). An introduction to infinite-dimensional linear systems theory. New York, NY: Springer.
  • d’Andréa-Novel, B., Boustany, F., Conrad, F., & Rao, B.P. (1994). Feedback stabilization of a hybrid PDE–ODE system: Application to an overhead crane. Mathematics of Control, Signals and Systems, 7(1), 1–22.
  • d’Andréa-Novel, B., & Coron, J.M. (2000). Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach. Automatica, 36(4), 587–593.
  • Elharfi, A. (2011). Control design of an overhead crane system from the perspective of stabilizing undesired oscillations. IMA Journal of Mathematical Control and Information, 28(3), 267–278.
  • Endo, T., Matsuno, F., & Kawasaki, H. (2014). Force control and exponential stabilisation of one-link flexible arm. International Journal of Control, 87(9), 1794–1807.
  • Guo, W., & Guo, B.Z. (2013a). Adaptive output feedback stabilization for one-dimensional wave equation with corrupted observation by harmonic disturbance. SIAM Journal on Control and Optimization, 51(2), 1679–1706.
  • Guo, W., & Guo, B.Z. (2013b). Parameter estimation and non-collocated adaptive stabilization for a wave equation subject to general boundary harmonic disturbance. IEEE Transactions on Automatic Control, 58(7), 1631–1643.
  • Guo, B.Z., & Kang, W. (2014). The Lyapunov approach to boundary stabilization of an anti-stable one-dimensional wave equation with boundary disturbance. International Journal of Robust and Nonlinear Control, 24(1), 54–69.
  • Grabowski, P. (2009). The motion planning problem and exponential stabilisation of a heavy chain. Part I. International Journal of Control, 82(8), 1539–1563.
  • He, W., Ge, S.S., How, E.V.E., Choo, Y.S., & Hong, K.S. (2011). Robust adaptive boundary control of a flexible marine riser with vessel dynamics. Automatica, 47(4), 722–732.
  • He, W., He, X.Y., & Ge, S.S. (2015). Boundary output feedback control of a flexible string system with input saturation. Nonlinear Dynamics, 80(1–2), 871–888.
  • 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.
  • How, B.V.E., Ge, S.S., & Choo, Y.S. (2011). Control of coupled vessel, crane, cable, and payload dynamics for subsea installation operations. IEEE Transactions on Control Systems Technology, 19(1), 208–220.
  • Krstić, M., Guo, B.Z., Balogh, A., & Smyshlyaev, A. (2008). Control of a tip-force destabilized shear beam by observer-based boundary feedback. SIAM Journal on Control and Optimization, 47(2), 553-574.
  • Krstić, M., Kanellakopoulos, I., & Kokotović, P. (1995). Nonlinear and adaptive control design. New York, NY: John Wiley & Sons.
  • Li, J., & Liu, Y.G. (2014). Adaptive stabilization for ODE systems via boundary measurement of uncertain diffusion-dominated actuator dynamics. International Journal of Robust and Nonlinear Control, 24(18), 3214–3238.
  • Luo, Z.H., Guo, B.Z., & Morgul, O. (1999). Stability and stabilization of infinite dimensional systems with applications. London: Springer.
  • Moghadam, A.A., Aksikas, I., Dubljevic, S., & Forbes, J.F. (2013). Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs. Automatica, 49(2), 526–533.
  • Pazy, A. (1983). Semigroups of linear operators and applications to partial differential equations. New York, NY: Springer.
  • Pietri, D.B., & Krstić, M. (2014). Adaptive output-feedback for wave PDE with anti-damping – application to surface-based control of oil drilling stick-slip instability. Proceedings of the 53rd IEEE conference on Decision & Control (pp. 1295–1300), Los Angeles, CA, USA.
  • Rasvan, V. (2008). Propagation, delays and stabilization I. Journal of Control Engineering and Applied Informatics, 10(3), 11–17.
  • Sano, H. (2008). Boundary stabilization of hyperbolic systems related to overhead cranes. IMA Journal of Mathematical Control and Information, 25(3), 353–366.
  • Wu, H.N., & Wang, J.W. (2014). Static output feedback control via PDE boundary and ODE measurements in linear cascaded ODE–beam systems. Automatica, 50(11), 2787–2798.
  • Xu, Z.H., & Liu, Y.G. (in press). Adaptive stabilization for a class of PDE–ODE cascade systems with uncertain harmonic disturbances. ESAIM: Control, Optimisation and Calculus of Variations.
  • Yang, W.Y., Cao, W., Chung, T.S., & Morris, J. (2005). Applied numerical methods using MATLAB. New Jersey, NJ: John Wiley & Sons.

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.