基于序列二次规划算法的再入轨迹优化研究  

Reentry Trajectory Optimization Using Sequential Quadratic Programming

作　　者：郑总准[1] 吴浩[2] 王永骥[1] 

机构地区：[1]华中科技大学控制科学与工程系,武汉430074 [2]北京航天自动控制研究所,北京100854

出　　处：《航天控制》2009年第6期8-13,18,共7页Aerospace Control

基　　金：国家自然科学基金(60674105);教育部科研培育项目(20081383);航天支撑基金(2008)资助

摘　　要：介绍了序列二次规划算法在飞行器再入轨迹优化问题中的应用。首先引入了能量替代变量对无量纲运动方程进行推导,使得运动方程和优化问题易于处理,考虑严格的过程约束和终端约束,以攻角和倾侧角为控制变量,总加热量最小为性能指标;然后通过直接配点法将最优控制问题转化为非线性规划问题,选取各节点的状态量和控制量作为优化参数;最后应用序列二次规划算法对非线性规划问题进行求解。针对多约束的再入飞行器的轨迹优化时对初值敏感的问题,提出一种参考轨迹快速规划算法,提高了优化速度。仿真结果表明提出的方法能够较快地搜索到最优轨迹,满足所有约束且落点精度高。Sequential quadratic programming for trajectory optimization of reentry vehicle is proposed. Firstly, Equations of motion are normalized and an independent variable is introduced to reduce the difficulty of iterative computation. With the angle of attack and the bank angle as control variables, the optimal control problem is set to minimize heat index, considering strict process and terminal constraints. And then, by choosing states and controls of discrete nodes as parameters, the optimal control problem is transformed into a nonlinear programming problem using direct collocation method. Finally, sequential quadratic pro- gramming is presented for solving the nonlinear programming problem. According to the sensitivity to initial value in trajectory optimization for reentry vehicles with multi-constraint, this paper develops a rapid refer- ence trajectory programming strategy. Simulation results show that the optimal trajectory can consistently a- chieve the desired target conditions within allowable tolerances and satisfy all the other constraints effectively

关 键 词：轨迹优化 非线性规划 配点法 序列二次优化 参考轨迹 

分 类 号：V412[航空宇航科学与技术—航空宇航推进理论与工程]