坐标转换理论及其在半实物仿真姿态矩阵转换中的应用术

摘要

以临近空间飞行器半实物仿真试验需求为背景,利用坐标转换理论推导了航空和航天两种体系下姿态矩阵的关系.首先,介绍了坐标转换理论,包括两种直角坐标系之间的转换关系,以及两种不同参考系下的姿态矩阵转换关系.然后,分析了航空和航天体系下坐标系之间的关系,推导了从航天体系下姿态矩阵到航空体系下姿态矩阵的转换关系.半实物仿真试验表明,推导的方法正确可行,保证了临近空间飞行器导航系统的仿真验证.%The relationship between the direction cosine matrix (DCM) in the space field and DCM in the aeronautics field is derived,to meet the demand of hardware-in-the-loop (HWIL) simulation of near space hypersonic vehicle flight control system.Firstly,the coordinate transformation (CT) theory is introduced,and the conversion method between two cartesian coordinate system is Introctuced.As well as the relationship of DCMs between the matrix transformation under two different reference systems is presented.Then,the analyzes the relationship of coordinate frames between the space field and the aeronautics field.How to convert the coordinate frame in the space field to the coordinate frame in the aeronautics field is researched.Finally,the HWIL simulation indicates that the method is correct and feasible.It ensures the HWIL simulation of navigation system of near space hypersonic vehicle.