159
Views
7
CrossRef citations to date
0
Altmetric
SECTION B

Symplectic algorithms with mesh refinement for a hypersensitive optimal control problem

, , &
Pages 2273-2289 | Received 15 Nov 2013, Accepted 12 Oct 2014, Published online: 18 Nov 2014

References

  • V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer, New York, 1989.
  • J.T. Betts and W.P. Huffman, Mesh refinement in direct transcription methods for optimal control, Optim. Control Appl. Methods 19 (1998), pp. 1–21. doi: 10.1002/(SICI)1099-1514(199801/02)19:1<1::AID-OCA616>3.0.CO;2-Q
  • C.L. Darby, W.W. Hager, and A.V. Rao, An hp-adaptive pseudospectral method for solving optimal control problems, Optim. Control Appl. Methods 32 (2011), pp. 476–502. doi: 10.1002/oca.957
  • Q. Gong, F. Fahroo, and I.M. Ross, Spectral algorithm for pseudospectral methods in optimal control, J. Guid. Control Dyn. 31 (2008), pp. 460–471. doi: 10.2514/1.32908
  • C. Park and D.J. Scheeres, Determination of optimal feedback terminal controllers for general boundary conditions using generating functions, Automatica 42 (2006), pp. 869–875. doi: 10.1016/j.automatica.2006.01.015
  • H.J. Peng, Q. Gao, Z.G. Wu, and W.X. Zhong, Symplectic approaches for solving two-point boundary-value problems, J. Guid. Control Dyn. 35 (2012), pp. 653–659. doi: 10.2514/1.55795
  • A.V. Rao and K.D. Mease, Dichotomic basis approach to solving hyper-sensitive optimal control problems, Automatica 35 (1999), pp. 633–642. doi: 10.1016/S0005-1098(98)00161-7
  • A.V. Rao and K.D. Mease, Eigenvector approximate dichotomic basis method for solving hyper-sensitive optimal control problems, Optim. Control Appl. Methods 21 (2000), pp. 1–17. doi: 10.1002/(SICI)1099-1514(200001/02)21:1<1::AID-OCA646>3.0.CO;2-V
  • P. Tsiotras and S. Jain, Trajectory optimization using multiresolution techniques, J. Guid. Control Dyn. 31 (2008), pp. 1424–1436. doi: 10.2514/1.32220
  • Y. Zhao and P. Tsiotras, Density functions for mesh refinement in numerical optimal control, J. Guid. Control Dyn. 34 (2011), pp. 271–277. doi: 10.2514/1.45852

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.