【摘要】 针对伪谱法求解多阶段多约束最优控制问题时存在的控制变量不连续问题,提出一种改进优化策略,增加攻角和倾侧角为状态变量,选择攻角变化率与倾侧角变化率为控制变量,考虑动压、过载、热流密度、边界层转捩等约束影响,采用hp自适应伪谱法对升力式再入飞行器多阶段多约束轨迹优化问题进行数值仿真。仿真结果表明控制变量在不同飞行阶段之间变化连续且平缓,该方法简单有效,具有较强的工程应用价值。更多还原

【Abstract】 A modified strategy is presented for control variable discontinuity when using pseudospectral method to solve a multi-phase and multi-constraint optimal control problem.The angle of attack and bank are chosen as state variables and the change rate of the two angles are chosen as control variables,considering the influence of dynamic pressure,overload,heat flow density and boundary layer transition,the problem of lift reentry vehicle multi-phase and multi-constraint trajectory optimization is simulated by using hp-adaptive pseudospectral method.The simulation results show that the control variables in different flight phases are continuous and smooth.The method is simple and effective,which has a great value in the practical applications.更多还原