| 引用本文: | 彭良福,林云松.空中自动防撞系统最优逃避机动的确定[J].控制理论与应用,2010,27(11):1575~1579.[点击复制] |
| PENG Liang-fu,LIN Yun-song.Determination of optimal escape maneuver for automatic air collision avoidance system[J].Control Theory and Technology,2010,27(11):1575~1579.[点击复制] |
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| 空中自动防撞系统最优逃避机动的确定 |
| Determination of optimal escape maneuver for automatic air collision avoidance system |
| 摘要点击 2131 全文点击 1860 投稿时间：2009-10-13 修订日期：2010-01-15 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.11.CCTA091294 |
| 2010,27(11):1575-1579 |
| 中文关键词 自动空中防撞系统 逃避机动 最优控制 |
| 英文关键词 automatic air collision avoidance system(Auto ACAS) escape maneuver optimal control |
| 基金项目 国家民委科研基金资助项目(08XN06). |
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| 中文摘要 |
| 采用最优控制理论对空中自动防撞系统确定其最优的逃避机动. 首先将空中自动防撞系统逃避机动的确定问题抽象为一个具有复合性能指标的可变终端时刻的最优控制问题, 然后采用二次曲线拟合的方法, 求出两架飞机最靠近的终端时刻. 最后根据极大值原理和飞机的状态方程, 推算出为使两架飞机在最靠近时, 实现最大距离的逃避机动所应采用的最优滚转角速度和法向过载, 并给出了最优解的解析表达式. |
| 英文摘要 |
| We employ the optimal control theory to determine the optimal escape maneuver for the automatic air collision avoidance system. Firstly, a variable terminal-time optimal control problem with compound performance index is formulated for determining the optimal escape maneuver for automatic air collision avoidance system; and then, the terminal-time when two aircrafts are closest to each other in the approach is obtained by a quadratic curve fitting. Finally, by the maximum principle and the state equation of the aircraft, we derive the analytical solutions for the optimal roll rate and the optimal normal acceleration of the optimal escape maneuver for achieving the largest minimum separation between two aircrafts at the closest point of approach. |