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。
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.
出处
《飞行力学》
CSCD
北大核心
1995年第3期29-36,共8页
Flight Dynamics
关键词
非线性规划
轨迹优化
数学规划
飞行力学
Nonlinear programming Generalized Lagrange multipliersTrajectory optimization