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Optimization of multiple-impulse minimum-time rendezvous with impulse constraints using a hybrid genetic algorithm

机译:使用混合遗传算法优化具有脉冲约束的多脉冲最小时间集合

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The minimum-time multiple-impulse rendezvous with impulse constraints is investigated in this paper. Based on the Clohessy-Wiltshire (C-W) equations, an optimization model including several different kinds of impulse constraints such as the maximum impulse magnitude, the total velocity change magnitude and the time of imposing impulse for multiple-impulse minimum-time rendezvous is established. A generalized inverse matrix solution for linear equation is applied to avoid handling the terminal equality constraints. In order to obtain the global solution efficiently, a hybrid optimizer combining the advantages of a floating-coded genetic algorithm and simplex method is employed. A low-earth orbit multiple-impulse rendezvous problem is used as an example. The influence of the number of impulses, the optimization variables and the constraints on the solution is analyzed, and the different optimization algorithms are compared. Results indicate our proposed model and approach is effective in designing linearized minimum-time rendezvous trajectory with impulse constraints.
机译:研究了具有脉冲约束的最小时间多脉冲交会点。基于Clohessy-Wiltshire(C-W)方程,建立了包括几种不同类型的冲动约束条件的优化模型,例如最大冲动幅度,总速度变化幅度和施加多冲动最小时间集合的冲动时间。应用线性方程的广义逆矩阵解可以避免处理终端等式约束。为了有效地获得全局解,结合了浮点编码遗传算法和单纯形法的优点的混合优化器。以低地球轨道多脉冲交会问题为例。分析了脉冲数,优化变量和约束条件对解的影响,并比较了不同的优化算法。结果表明,我们提出的模型和方法在设计具有脉冲约束的线性化最小时间会合轨迹方面是有效的。

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