基于最优控制的拦截动力学建模方法研究

Study of Intercept Dynamics Modeling Method Based on Optimal Control

以航天拦截动力学理论为基础,应用最优控制理论对拦截动力学的建模方法进行了研究。给出了拦截器和目标器的相对运动动力学模型,以飞行时间最短、燃料消耗最少和脱靶量最小为综合性能指标,应用了最优控制理论和Pontryagin极小值原理,推导出一种适于拦截问题的最优控制动力学建模方法,并将拦截最优控制动力学模型在惯性系中表示。最终得到的模型即易于计算,又正确反应了拦截器与目标器的运动关系。

The paper studied intercept dynamics modeling method based on space intercept dynamics and optimal control theory. It gave the relative movement dynamics model of the interceptor and target, and deduced an optimal control dynamics modeling method which is suitable for interception problem using optimal control theory and Pontryagin minimum princi- ple to the shortest flight time,the minimum fuel consumption and minimum miss--distance for comprehensive performance index,and showed the optimal intercept dynamics model in the inertial frames. The resulting model not only can be calculated easier, but also can right reflect the motion relationship of the interceptor and the target.