关键词: 微分几何, 李雅普诺夫稳定, 三维制导, 机动目标, 鲁棒控制

Abstract:

Considering the varying of velocity of the missile and target, the classical differential geometry curve theory approach and Lyapunov stability theory are combined to create a new design approach to three dimensional missile guidance problems. The main drawback of PPNG (pure proportional navigation guidance) against a maneuvering target is that biggish acceleration commands in pitch and yaw channels of the missile are required in the final stage of the engagement. To solve this problems, a robust three dimensional missile guidance algorithm is presented by using a robust control method based on Lyapunov stability theory. No biggish acceleration commands of the missile are required in the final stage of the engagement in the proposed algorithm, and also, no accurate information on the acceleration and velocity relative heading angle of the target is required.

Key words: differential geometry, Ly apunov stability, three-dimensional guidance, maneuvering target, robustcontrol