TY - JOUR
T1 - Space interception orbit optimization design based on hybrid optimal algorithm
AU - Gao, Xiaoguang
AU - Tang, Hong
AU - Duan, Junhong
N1 - Publisher Copyright:
©, 2015, Beijing University of Aeronautics and Astronautics (BUAA). All right reserved.
PY - 2015/9
Y1 - 2015/9
N2 - Based on a hybrid algorithm combining genetic algorithm (GA) with improved Gauss method (IGM), a design method of space interception orbit was proposed for solving time-fuel-optimal trajectory planning problem of interceptor. First, classical Gauss method was improved by applying Newton-Raphson iteration, solving the problem of the classical Gauss method of slow convergence speed and small transfer angle. Then, a theorem on the necessary and sufficient condition for the existence of unique solution was proved. When the initial orbital parameters were given, this condition could be used to judge whether elliptical orbit could be introduced as the interception orbit. After that, constraints of transfer time and maximum pulse rate were given, as well as the calculation steps of hybrid optimal algorithm, and way of coding was improved. Finally taking optimization problem of space interception orbit as an example, simulation was carried out. Simulation result shows that the hybrid algorithm has fewer generations and shorter consuming time compared with conventional optimal algorithm, indicating the algorithm is applicable in determining interception orbit in space.
AB - Based on a hybrid algorithm combining genetic algorithm (GA) with improved Gauss method (IGM), a design method of space interception orbit was proposed for solving time-fuel-optimal trajectory planning problem of interceptor. First, classical Gauss method was improved by applying Newton-Raphson iteration, solving the problem of the classical Gauss method of slow convergence speed and small transfer angle. Then, a theorem on the necessary and sufficient condition for the existence of unique solution was proved. When the initial orbital parameters were given, this condition could be used to judge whether elliptical orbit could be introduced as the interception orbit. After that, constraints of transfer time and maximum pulse rate were given, as well as the calculation steps of hybrid optimal algorithm, and way of coding was improved. Finally taking optimization problem of space interception orbit as an example, simulation was carried out. Simulation result shows that the hybrid algorithm has fewer generations and shorter consuming time compared with conventional optimal algorithm, indicating the algorithm is applicable in determining interception orbit in space.
KW - Gauss method
KW - Genetic algorithm (GA)
KW - Hybrid algorithm
KW - Optimization
KW - Space interception
UR - http://www.scopus.com/inward/record.url?scp=84945320775&partnerID=8YFLogxK
U2 - 10.13700/j.bh.1001-5965.2014.0673
DO - 10.13700/j.bh.1001-5965.2014.0673
M3 - 文章
AN - SCOPUS:84945320775
SN - 1001-5965
VL - 41
SP - 1574
EP - 1581
JO - Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics
JF - Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics
IS - 9
ER -