基于纯比例导引的拦截碰撞角约束制导策略

1. 1. 国防科技大学 空天科学学院, 长沙 410073;
2. 浙江大学 电气工程学院, 杭州 310027;
3. 军事科学院 国防科技创新研究院, 北京 100071
• 收稿日期:2020-04-20 修回日期:2020-05-15 发布日期:2020-06-04
• 通讯作者: 陈磊 E-mail:chenl@nudt.edu.cn
• 基金资助:
国家自然科学基金（61690210，61690213）；湖南省自然科学基金（2019JJ50736）

Guidance strategy with impact angle constraints based on pure proportional navigation

LI Kebo1, LIAO Xuanping1, LIANG Yan'gang1, LI Chaoyong2, CHEN Lei3

1. 1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
2. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China;
3. National Innovation Institute of Defense Technology, Academy of Military Sciences, Beijing 100071, China
• Received:2020-04-20 Revised:2020-05-15 Published:2020-06-04
• Supported by:
National Natural Science Foundation of China (61690210,61690213); Natural Science Foundation of Hunan Province(2019JJ50736)

Abstract: Guidance law design with impact angle constraints is one of the key research problems in the missile guidance community. In this paper, the analytical solution of the Pure Proportional Navigation (PPN) guidance law against stationary targets is deduced based on that of the Ideal Proportional Navigation (IPN) guidance law against non-maneuvering targets. The analytical expressions of the relative range, the commanded acceleration, and the missile lead angle are obtained, followed by an introduction of the relationship among the final impact angle, the relative states, and the navigation gain of the PPN. Based on this relationship, the Guidance strategy with Impact Angle Constraints based on the PPN (PPNIACG) is proposed with two applications of this guidance strategy, i.e., interceptions with impact angle constraints in the vertical and horizontal planes, discussed. After that, taking the Trajectory Shaping Guidance (TSG) and the Optimal Impact Angle Control Guidance (OIACG) as reference, we demonstrate the interception performance of the PPNIACG through numerical simulation examples, revealing the effectiveness and robustness of the proposed PPNIACG for guiding missiles to hit the target with impact angle constraints.