基于李雅普诺夫稳定理论的三维导引律研究  

Three-Dimensional Guidance Algorithm Based on Lyapunoy Stability Theory

作　　者：糜玉林[1] 张友安[1] 杨华东[1] 

机构地区：[1]海军航空工程学院,山东烟台264001

出　　处：《弹箭与制导学报》2002年第S2期85-87,92,共4页Journal of Projectiles,Rockets,Missiles and Guidance

基　　金：航空科学基金(No.99D12001)

摘　　要：首先,给出了三维空间导弹—目标追逃运动的空间矢量方程,在此基础上推导了三维导引的动力学方程,在三维空间建立了导弹—目标的追逃运动模型,所采用的坐标系与通常描述导弹运动的坐标系相一致。然后,在假设目标运动信息完全已知条件下对变速机动目标应用基于李雅普诺夫稳定性理论的控制方法提出了一种三维制导算法。最后,全弹道六自由度数学仿真结果表明了模型的正确性和制导算法的有效性。Firstly,the three-dimensional vector equations for missile-target pursuit-evasion motion are given,the dynamic equations for three-dimensional guidance are derived,the model decrypting three-dimensional pursuit- evasion motion is established.The coordinate adopted conforms to the missile coordinate system.Then.a three- dimensional missile guidance algorithm is presented based on Lyapunov stability theory under the assumption that the accurate information of the target is known.Finally,the rightness of the model and the effeteness of the proposed arithmetic are showed by the 6DOF simulation.

关 键 词：三维追逃模型 制导 机动目标 李雅普诺夫稳定性理论 

分 类 号：TJ765.3[兵器科学与技术—武器系统与运用工程]