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Reentry Trajectory Optimization Based on Differential Evolution

Authors: Songtao Chang, Yongji Wang, Lei Liu, Dangjun Zhao

Abstract:

Reentry trajectory optimization is a multi-constraints optimal control problem which is hard to solve. To tackle it, we proposed a new algorithm named CDEN(Constrained Differential Evolution Newton-Raphson Algorithm) based on Differential Evolution( DE) and Newton-Raphson.We transform the infinite dimensional optimal control problem to parameter optimization which is finite dimensional by discretize control parameter. In order to simplify the problem, we figure out the control parameter-s scope by process constraints. To handle constraints, we proposed a parameterless constraints handle process. Through comprehensive analyze the problem, we use a new algorithm integrated by DE and Newton-Raphson to solve it. It is validated by a reentry vehicle X-33, simulation results indicated that the algorithm is effective and robust.

Keywords: reentry vehicle, trajectory optimization, constraint optimal, differential evolution.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1058879

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References:


[1] N. X. Vinh, Optimal Trajectories in Atmospheric Flight. New York: Elsevier, 1981.
[2] V. Istratie, "Three-dimensional optimal skip entry with terminal maximum velocity." AIAA-97-3483, 1997.
[3] A. L. Herman and B. A. Conway, "Direct optimization using collocation based on high-order Gauss-Lobatto quadrature rules," Journal of Guidance, Control, and Dynamics, vol. 19, no. 3, pp. 592-599, 1996.
[4] K. Zhang and W. Chen, "Reentry vehicle constrained trajectory optimization." San Francisco, California: AIAA 2011-2231, April 2011.
[5] R. K. Arora, "Reentry trajectory optimization : Evolutionary approach." Atlanta: AIAA 2002-5466, September 2002.
[6] Q. Zhang, C. Liu, B. Yang, and Z. Ren, "Reentry trajectory planning optimization based on ant colony algorithm," in Proceedings of the 2007 IEEE International Conference on Robotics and Biomimetics, Sanya, December 2007, pp. 1064-1068.
[7] G. Chen, Z. ming Wan, M. Xu, and S. lu Chen, "Genetic algorithm optimization of RLV reentry trajectory." AIAA 2005-3269, 2005.
[8] R. Storn and K. Price, "Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces," Journal of Global Optimization, vol. 11, pp. 341-359, 1997.
[9] C. Lin, A. Qing, and Q. Feng, "A new differential mutation base generator for differential evolution," Journal of Global Optimization, vol. 49, pp. 69-90, 2011.
[10] P. Lu and J. M. Hanson, "Entry guidance for the X- 33 vehicle," Journal of Spacecraft and Rockets, vol. 35, no. 3, pp. 342-349, 1998.
[11] Z. Shen and P. Lu, "Onboard generation of threedimensional constrained entry trajectories," Journal of Guidance, Control, and Dynamics, vol. 26, no. 1, pp. 111-121, 2003.