Table of Contents
ISRN Aerospace Engineering
Volume 2013, Article ID 950912, 7 pages
http://dx.doi.org/10.1155/2013/950912
Research Article

Approximate Solutions to Nonlinear Optimal Control Problems in Astrodynamics

Department of Aerospace Science and Technology, Politecnico di Milano, Via La Masa 34, 20156 Milano, Italy

Received 25 June 2013; Accepted 27 August 2013

Academic Editors: H. Baoyin, C. Bigelow, and D. Yu

Copyright © 2013 Francesco Topputo and Franco Bernelli-Zazzera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. E. Bryson and Y. C. Ho, Applied Optimal Control, John Wiley & Sons, New York, NY, USA, 1975.
  2. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, John Wiley & Sons, New York, NY, USA, 1962.
  3. J. T. Betts, Practical Methods for Optimal Control and Estimation Using Nonlinear Programming, SIAM, Philadelphia, Pa, USA, 2010.
  4. B. Conway, “Spacecraft trajecory optimization using direct transcription and nonlinear programming,” in Spacecraft Trajectory Optimization, pp. 37–78, Cambridge University Press, Cambridge, UK, 2010. View at Google Scholar
  5. T. Çimen and S. P. Banks, “Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria,” Systems and Control Letters, vol. 53, no. 5, pp. 327–346, 2004. View at Publisher · View at Google Scholar · View at Scopus
  6. T. Çimen and S. P. Banks, “Nonlinear optimal tracking control with application to super-tankers for autopilot design,” Automatica, vol. 40, no. 11, pp. 1845–1863, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. C. P. Mracek and J. R. Cloutier, “Control designs for the nonlinear benchmark problem via the state-dependent Riccati equation method,” International Journal of Robust and Nonlinear Control, vol. 8, no. 4-5, pp. 401–433, 1998. View at Google Scholar · View at Scopus
  8. J. D. Pearson, “Approximation methods in optimal control,” Journal of Electronics and Control, vol. 13, pp. 453–469, 1962. View at Google Scholar
  9. A. Wernli and G. Cook, “Suboptimal control for the nonlinear quadratic regulator problem,” Automatica, vol. 11, no. 1, pp. 75–84, 1975. View at Google Scholar · View at Scopus
  10. C. Park, V. Guibout, and D. J. Scheeres, “Solving optimal continuous thrust rendezvous problems with generating functions,” Journal of Guidance, Control, and Dynamics, vol. 29, no. 2, pp. 321–331, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. C. Park and D. J. Scheeres, “Determination of optimal feedback terminal controllers for general boundary conditions using generating functions,” Automatica, vol. 42, no. 5, pp. 869–875, 2006. View at Publisher · View at Google Scholar · View at Scopus
  12. A. Owis, F. Topputo, and F. Bernelli-Zazzera, “Radially accelerated optimal feedback orbits in central gravity field with linear drag,” Celestial Mechanics and Dynamical Astronomy, vol. 103, no. 1, pp. 1–16, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. F. Topputo, A. H. Owis, and F. Bernelli-Zazzera, “Analytical solution of optimal feedback control for radially accelerated orbits,” Journal of Guidance, Control, and Dynamics, vol. 31, no. 5, pp. 1352–1359, 2008. View at Publisher · View at Google Scholar · View at Scopus