Reentry Trajectory Optimization Based on Differential Evolution
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.
[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.
[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.
@article{"International Journal of Information, Control and Computer Sciences:52422", author = "Songtao Chang and Yongji Wang and Lei Liu and Dangjun Zhao", title = "Reentry Trajectory Optimization Based on Differential Evolution", 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.", volume = "5", number = "8", pages = "850-5", }