{"title":"An Optimization of Orbital Transfer for Spacecrafts with Finite-thrust Based on Legendre Pseudospectral Method","authors":"Yanan Yang, Zhigang Wang, Xiang Chen","volume":68,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1041,"pagesEnd":1046,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/6319","abstract":"This paper presents the use of Legendre pseudospectral\nmethod for the optimization of finite-thrust orbital transfer for\nspacecrafts. In order to get an accurate solution, the System-s\ndynamics equations were normalized through a dimensionless method.\nThe Legendre pseudospectral method is based on interpolating\nfunctions on Legendre-Gauss-Lobatto (LGL) quadrature nodes. This\nis used to transform the optimal control problem into a constrained\nparameter optimization problem. The developed novel optimization\nalgorithm can be used to solve similar optimization problems of\nspacecraft finite-thrust orbital transfer. The results of a numerical\nsimulation verified the validity of the proposed optimization method.\nThe simulation results reveal that pseudospectral optimization method\nis a promising method for real-time trajectory optimization and\nprovides good accuracy and fast convergence.","references":"[1] Qibo Peng \"Finite-Thrust Trajectory Optimization Using a\nCombinationof Gauss Pseudospectral Method and Genetic Algorithm\".\n(Chapter 4 of Genetic Algorithms in Applications Edited by Rustem\nPopa, ISBN 978-953-51-0400-1, hard cover, 328 pages, Publisher: In\nTech, Published: March 21, 2012 under CC BY 3.0 license, in\nsubject Artificial Intelligence DOI: 10.5772\/2675.\n[2] http:\/\/en.wikipedia.org\/wiki\/Optimal_control\n[3] http:\/\/en.wikipedia.org\/wiki\/Pseudospectral_optimal_control\n[4] Q. Gong, W. Kang and I. M. Ross, A Pseudospectral Method for The\nOptimal Control of Constrained Feedback Linearizable Systems, IEEE\nTrans. Auto. Cont., Vol.~51, No.~7, July 2006, pp.~1115-1129.\n[5] J. S. Hesthaven, S. Gottlieb and D. Gottlieb, Spectral methods for\ntime-dependent problems, Cambridge University Press, 2007. ISBN\n978-0-521-79211-0\n[6] Q. Gong, I. M. Ross, W. Kang and Fahroo, F., Connections between the\ncovector mapping theorem and convergence of pseudospectral methods\nfor optimal control, Computational Optimization and Applications,\nSpringer Netherlands, published online: 31 October 2007, to appear in\nJournal, 2008.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 68, 2012"}