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A hybrid optimization approach for rapid endo-atmospheric ascent trajectory planning of launch vehicles
Received date: 2014-11-13
Revised date: 2014-12-22
Online published: 2015-03-10
Supported by
The Open National Defense Key Disciplines Laboratory of Exploration of Deep Space Landing and Return Control Technology, Harbin Institute of Technology (HIT.KLOF.2013.079); The Fundamental Research Funds for the Central Universities (HIT.NSRIF.2015037)
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.
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 . DOI: 10.7527/S1000-6893.2015.0068
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