Attainability Analysis for Entry Vehicles Based on Differential Evolution
Attainability Analysis for Entry Vehicles Based on Differential Evolution
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DOI：
10.1155/2014/306947
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发表时间：
2014-03
影响因子：
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通讯作者：
Songtao Chang;Yongji Wang;Lei Liu;Xing Wei
中科院分区：
文献类型：
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作者：
Songtao Chang;Yongji Wang;Lei Liu;Xing Wei
可达到的区域提供了关于进入飞行器任务规划的重要信息。为了得到它，需要求解一系列具有类似公式的非线性最优控制问题。然而，由于动力学的严重非线性和各种约束，计算困难。本文建立了一种新的方法来生成进入阶段末的可达区域。它利用差分进化的并行特性和切比雪夫多项式插值的高精度。利用切比雪夫多项式插值法，将原问题转化为若干非线性规划问题，以方便应用微分方程。微分方程种群中的每个个体代表可达区域边界上的一个候选点。为了使种群同时到达边界，利用DE的并行特性设计了一种方案，不同于传统的每次运行产生一个边界点的方法，我们提出的方法产生可达到区域边界的一侧。提出了一种评估设计方法的方案，并分析了车辆设计参数对可达区域的影响。
Attainable region provides crucial information on mission planning of entry vehicles. In order to obtain it, a series of nonlinear optimal control problems which have similar formulations are needed to be solved. However, it is difficult to compute due to severe nonlinearity of the dynamics and various constraints. In this paper, a novel method is established to generate the attainable region at the end of the entry phase. It utilizes the parallel feature of differential evolution (DE) and the high accuracy of Chebyshev polynomial interpolation. By using the Chebyshev polynomial interpolation, the original problem is transformed to several nonlinear programming problems to facilitate employing DE. Each individual in DE’s population represents a candidate point on the boundary of the attainable region. In order to lead the population to the boundary simultaneously, a scheme is devised by exploiting the parallel feature of DE. Different from conventional methods which generate one point of the boundary in each run, our proposed method generates one side of the boundary of the attainable region. A scenario is presented to evaluate the designed method and some analyses are conducted to evaluate the influence of the vehicle’s design parameters on the attainable region.