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非线性数学规划在飞行力学中的应用
THE APPLICATION OF NONLINEAR MATHMATICAL PROGRAMMING TO FLIGHT DYNAMICS
【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,状态微分方程就可化成一组代数方程,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。
【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.
【关键词】 非线性规划;
广义Lagrange乘子法;
轨迹优化;
【Key words】 Nonlinear programming Generalized Lagrange multipliersTrajectory optimization;
【Key words】 Nonlinear programming Generalized Lagrange multipliersTrajectory optimization;
- 【文献出处】 飞行力学 ,FLIGHT DYNAMICS , 编辑部邮箱 ,1995年03期
- 【分类号】V212.1
- 【被引频次】13
- 【下载频次】169