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空中自动防撞系统最优逃避机动的确定
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.
作者姓名:彭良福  林云松
作者单位:1. 西南民族大学电气信息工程学院,四川成都,610041
2. 电子科技大学自动化工程学院,四川成都,610054
基金项目:国家民委科研基金资助项目(08XN06).
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.

关 键 词:自动空中防撞系统    逃避机动    最优控制
收稿时间:2009/10/13 0:00:00
修稿时间:2010/1/15 0:00:00

Determination of optimal escape maneuver for automatic air collision avoidance system
PENG Liang-fu and LIN Yun-song.Determination of optimal escape maneuver for automatic air collision avoidance system[J].Control Theory & Applications,2010,27(11):1575-1579.
Authors:PENG Liang-fu and LIN Yun-song
Affiliation:College of Electrical Information Engineering, Southwest University for Nationalities,College of Automation, University of Electronic Science and Technology of China
Abstract: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.
Keywords:automatic air collision avoidance system(Auto ACAS)  escape maneuver  optimal control
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