四元数在火控中的应用  

Application of Quaternion in Fire Control Field

作　　者：付庆宏[1] 琚章锋[1] 胡田[1] 

机构地区：[1]北方自动控制技术研究所,山西太原030006

出　　处：《火力与指挥控制》2008年第S2期158-160,共3页Fire Control & Command Control

摘　　要：介绍了四元数的定义、代数运算、三角形式和指数形式以及球面表示形式;综述了四元数在刚体姿态控制,计算机三维图像旋转,彩色图像处理和信号处理分析等实际应用中表示的物理含义,着重探讨了四元数理论在火控领域中应用方法,并对比传统欧拉角火控模型,分析了应用四元数火控模型的优点。最后从理论上得出,四元数理论方法在常规兵器火控系统有广阔的应用前景。The paper introduces definition,algebra operation,trigonometry form,exponent form and sphere expression form of quaternion;summarizes physical meaning of quaternion practically applied in rigid attitude control,computer 3D image rotation,color image processing and signal processing analysis,emphatically discusses application method of quaternion theory in fire control field, and analyses advantage applying quaternion fire control model in comparison with the traditional Eulerian angles fire control model,at last from the theory concludes that quaternion theory method has a wide application prospect in conventional weapon fire control system.

关 键 词：刚体 四元数 火控 姿态控制 

分 类 号：E933.6[军事—军事装备学] O151.23[理学—数学]