非线性制导系统稳定性分析  

Stability Analysis of Nonlinear Guidance System Based on Describing Function Method

作　　者：范世鹏[1] 孙宝彩[1,2] 王江[1] 王录强 范卫鹏 

机构地区：[1]北京理工大学宇航学院,北京100081 [2]空军装备研究院装备总体论证研究所北京100076 [3]西北工业集团有限公司,西安710043

出　　处：《弹箭与制导学报》2014年第1期21-23,32,共4页Journal of Projectiles,Rockets,Missiles and Guidance

基　　金：国家自然科学基金(61172182)资助

摘　　要：在末制导武器备受青睐的背景下,首先,给出了制导系统的基本结构,简单介绍了比例导引律下的制导回路及其特点。其次,在平台式导引头机械结构假设下,为使导引头快速追踪目标,将进动角速率分为线性区、过渡区和非线性区,使用Hermite方法设计了导引头跟踪方案,使导引头角速率平滑过渡。再次,针对这类导引头普遍存在死区-饱和非线性环节的问题,运动描述函数方法,重点分析了引入自动驾驶仪的制导系统稳定性问题。研究表明,该非线性环节对系统相位裕度没有影响,而对幅值裕度略有提高。最后,给出了随剩余末制导时间的减少,制导系统特征根的分布情况以及末制导段最小稳定裕度。At first, the basic structure of guidance system was given, and guidance system with proportional navigation law was introduced. Secondly, on the assumption that mechanism of dynamic stabilized gyro was adopted, in order to track target quickly, tracking scheme of laser seeker was set in nonlinear, transition and linear zones, and tracking loop of this seeker was designed with Hermite Method, which smoothened proecessing rate of the seeker. Then according to principle of the laser seeker, there was dead-saturation nonlinearity in the guidance loop. With characteristics of guidance system, describing function method was used to research the stability problem while autopi- lot was introduced into guidance loop. Analysis shows that nonlinearity has no effect on the phase margin, however, it improves magnitude margin. In addition, the change of root locus with time to go for guidance, and the minimal stability margin is given as another base of sta- bility analysis.

关 键 词：激光导引头 非线性系统 制导回路 描述函数方法 稳定性分析 

分 类 号：TJ765.2[兵器科学与技术—武器系统与运用工程]