| 非线性数学规划在飞行力学中的应用 |
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| 引用本文： | 税清才 方振平. 非线性数学规划在飞行力学中的应用[J]. 飞行力学, 1995, 13(3): 29-36 |
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| 作者姓名： | 税清才 方振平 |
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| 作者单位： | 北京航空航天大学 |
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| 摘 要： | 主要介绍非线性数学规划在飞行器轨迹优化中的应用，处理方法是将每一个状态变量用三次多项式表示，状态微分方程就化成一组代数方程，从而使飞机轨迹优化问题化成了离散的数学规划问题，再用广义Ｌａｇｒａｎｇｅ乘子法求解，该方法对一般的轨迹优化问题易于编程实现。
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| 关 键 词： | 非线性规划 轨迹优化 数学规划 飞行力学 |
THE APPLICATION OF NONLINEAR MATHMATICAL PROGRAMMING TO FLIGHT DYNAMICS |
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| Shui Qingcai, Fang Zhenping. THE APPLICATION OF NONLINEAR MATHMATICAL PROGRAMMING TO FLIGHT DYNAMICS[J]. Flight Dynamics, 1995, 13(3): 29-36 |
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| Authors: | Shui Qingcai Fang Zhenping |
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| Affiliation: | Beijing University of Aeronautics and Astronautics |
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| Abstract: | The application of nonlinear mathmatical programming to vehicle trajectoryoptimization is introduced in this paper.The method follows.The state variables arerepresented by cubic polynomials.The state differential equations are transformed to a groupof algebraic equations and the optimal trajectory control problem is converted to anoncontinuous mathmatical programming problem which is solved by the generalizedLagrange multipliers.The method is easy to program for a general trajectory optimizationproblem. |
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| Keywords: | Nonlinear programming Generalized Lagrange multipliersTrajectory optimization |
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