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微分几何制导律及其捕获性能分析

DOI: doi:10.3969/j.issn.1006-7043.2010.12.011

Keywords: 制导律, 微分几何, 捕获条件, 相对速度空间

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Abstract:

针对非线性相对运动情形下的机动目标拦截问题,采用瞬时碰撞点思想,对时间求导,重新推导了微分几何制导律,并给出了目标捕获的充分条件.分别采用直线分割法和圆分割法对相对速度空间下的捕获区域进行分割,推导相应的捕获条件,并证明了2种方法的一致性.对初始点位于不同捕获区域的机动和非机动目标的拦截进行了仿真.结果表明该制导律可以实现目标的有效拦截,验证了目标捕获的条件.

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