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微分几何制导律及其捕获性能分析 被引量:5

Capturability analysis of a differential geometrical guidance law
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摘要 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. Based on the instantaneous collision idea,a differential geometrical guidance law was derived for target interception in a nonlinear engagement geometry scenario.This derivation process adopted the derivation of time,but trajectory arc length and sufficient conditions for target interception were given.The capture region in relative velocity space was divided by using the linear division method and the circle division method,respectively.The consistency in capture conditions of these two methods was proven and the advantages and disadvantages were analyzed.The simulations were carried out for maneuvering and non-maneuvering target interceptions of different initial conditions,and the results show that this guidance law can intercept the target effectively and verify the capture conditions.
出处 《哈尔滨工程大学学报》 EI CAS CSCD 北大核心 2010年第12期1626-1631,共6页 Journal of Harbin Engineering University
基金 黑龙江省科技攻关计划资助项目(GZ06A104)
关键词 制导律 微分几何 捕获条件 相对速度空间 guidance law differential geometry capture condition relative velocity space
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参考文献10

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