| 引用本文: | 魏月兴,陈小前,颜力.基于近似策略的联合优化方法.[J].国防科技大学学报,2011,33(5):26-29.[点击复制] |
| Wei Yuexing,Chen Xiaoqian,Yan li.Approximation Based Combined Optimization Methodology[J].Journal of National University of Defense Technology,2011,33(5):26-29[点击复制] |
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| 基于近似策略的联合优化方法 |
| 魏月兴, 陈小前, 颜力 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 针对优化中收敛速度和优化解全局性的问题，提出了一种联合优化方法：构造原问题的近似模型，使用全局优化方法对近似函数进行优化，得到优化点作为初值，再使用局部优化方法对原问题进行优化。为了获得对原问题更好的近似，改进了径向基插值方法，以优化误差的方法来选择参数。利用临近空间机翼模型的优化对算法进行了测试，结果表明，优化参数的径向基插值方法提高了高维问题的近似能力，联合优化能够得到较好的优解，并提高了收敛速度。 |
| 关键词: 径向基插值 近似方法 联合优化 机翼优化 |
| DOI： |
| 投稿日期：2011-03-28 |
| 基金项目:国家自然科学基金资助项目（50975280; 61004094）；教育部新世纪优秀人才支持计划资助项目（NCET-08-0149）;国防科技大学科研计划资助项目（JC-08-01-07） |
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| Approximation Based Combined Optimization Methodology |
| Wei Yuexing, Chen Xiaoqian, Yan li |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Aimed at solving the problem of optimization convergence and the global optimization, this research proposes a Combined Optimization Methodology, which combines the global and local optimization methods. The former one can obtain global optimum solution but converge slowly, while the latter one can converge fast and obtain a local optimum solution and can be sensitive to initial value. Firstly, the approximation function of the original problem was built. Then the approximate optimum solution was obtained by the global optimization method. The approximate optimum was taken as the initial value, and the real optimum solution is obtained by the local method optimizing the original problem directly. In order to achieve better approximation, the RBF was improved and Shape Parameter Optimization Radius Basis Function was developed by using the surrogate model. Both of the methods were used in the near space aircraft wing optimization. Results show that the modified interpolation method is more accurate than the Kriging model, and the Combined Optimization can obtain the optimum and improve the convergence speed. |
| Keywords: radius basis function interpolation approximation method combined optimization wing optimization |
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