A Modified Brachistochrone Problem with State Constraints and Thrust
Moscow University Computational Mathematics and Cybernetics
Pub Date : 2023-12-01
DOI:10.3103/s0278641923040167
引用次数: 0
Abstract
The problem of maximizing the horizontal coordinate of a mass point moving in a vertical plane driven by gravity, viscous drag, curve reaction force, and thrust is considered. It is assumed that inequality-type constraints are imposed on the angle of inclination of the trajectory. The system of equations belongs to a certain type that allows us to reduce the optimal control problem with constraints on the state variable to the optimal control problem with control constraints. The sequence and the number of switchings of the state constraints along the optimal trajectory are determined, and a scheme for optimal control is designed.
带状态约束和推力的改进型勃拉希斯托克龙问题
摘要 本文考虑了在重力、粘性阻力、曲线反作用力和推力的作用下，使在垂直面内运动的质点的水平坐标最大化的问题。假定对轨迹的倾斜角施加不等式类型的约束。该方程组属于某种类型，可以将带有状态变量约束的最优控制问题简化为带有控制约束的最优控制问题。确定了最优轨迹上状态约束的切换顺序和次数，并设计了最优控制方案。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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