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Elliptic Guidance

机译:椭圆引导

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摘要

A new three-point guidance concept for imposing a launch angle, impact angle, and intercept time against a stationary target is proposed. The guidance concept is based on the defining geometric rule of an ellipse. This rule states that, for every point along an ellipse, the sum of the distances to the two focal points is constant. A general method for finding the desired elliptical trajectory that achieves a desired launch angle, impact angle, and intercept time is presented. Once the elliptical trajectory is determined, the sum of the distances between the interceptor and the two foci is the only information required for implementation. The interceptor's equations of motion are linearized around the desired elliptical trajectory, and a proportional-integral-derivative controller is used to implement the elliptical geometric rule. Nonlinear simulations are performed for an interceptor imposing different impact angles with the same intercept time as well as different intercept times at the same impact angle, both against a stationary target. The effects of initial heading errors and first-order interceptor dynamics are also examined.
机译:提出了一种新的三点制导概念,用于对固定目标施加发射角,冲击角和拦截时间。指导概念基于椭圆的定义几何规则。该规则指出,对于椭圆上的每个点,到两个焦点的距离之和是恒定的。提供了一种通用的方法,该方法可以找到实现所需的发射角,冲击角和拦截时间的所需椭圆形轨迹。一旦确定了椭圆轨迹,拦截器和两个焦点之间的距离之和就是实现所需的唯一信息。拦截器的运动方程在所需的椭圆轨迹周围线性化,并且比例积分微分控制器用于实现椭圆几何规则。对拦截器执行非线性模拟,以相同的拦截时间以及以相同的撞击角对不同的拦截时间施加不同的撞击角度,两者均针对固定目标。还检查了初始航向误差和一阶拦截器动力学的影响。

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