基于混合优化的运载器大气层内上升段轨迹快速规划方法

doi:10.7527/S1000-6893.2015.0068

Abstract

Abstract:

A hybrid optimization approach is proposed for the rapid optimal endo-atmospheric ascent trajectory planning of launch vehicles, combined with the indirect and direct methods for solving optimal control problems. Firstly, based on the first order necessary conditions, the method transforms the three dimensional optimal endo-atmospheric ascent problem into Hamiltonian two point boundary value problem. Then, the Gauss pseudo-spectral method of direct methods is applied to solve the problem, taking advantage of fast convergence rate, with less nodes and higher precision than other traditional methods. Last, vacuum analytical initial solution technology and density homotopy technology are also introduced to overcome the difficulties of initial guesses and convergence. Simulation results show that the hybrid optimization algorithm can accurately and rapidly solve the problem of optimal endo-atmospheric ascent trajectory, with better precision and efficiency than the indirect method. The proposed algorithm also can be applied to on-line trajectory planning and guidance of launch vehicles.

Key words: launch vehicle, endo-atmosphere, trajectory planning, indirect method, Gauss pseudo-spectral method, hybrid optimization

CLC Number:

V448.131

CUI Naigang, HUANG Panxing, LU Fei, HUANG Rong, WEI Changzhu. A hybrid optimization approach for rapid endo-atmospheric ascent trajectory planning of launch vehicles[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(6): 1915-1923.

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A hybrid optimization approach for rapid endo-atmospheric ascent trajectory planning of launch vehicles

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