惯性导航系统/双星距离差组合导航算法的可行性研究

研究由相对于双星的距离差量测与惯性测量系统构成实时的适用于跟踪高动态目标的组合导航系统的可行性。阐述系统工作原理 ,建立了相关的数学模型 ,用拉格朗日乘子法求出了解析解 ,用 Matlab软件验证其结果并作了误差分析。结果表明 :相对于双星的测距差对于惯性测量系统沿双星连线轴向的测量误差算法有十分明显的修正效果 ,但对与双星连线轴正交方向的测量误差 ,其修正能力很差。指出距离差量测本质上是与双星连线轴向相关的一维量测。欲构成对惯性测量三维方向均有修正作用的实时组合导航系统 ,应当在系统中另增加独立的量测量。

Practicability Study of Combined Navigation Algorithm of INS/TSS Distance Difference Measurement

The practicability of forming a combined navigation system that is consisted of a INS(Initial Navigation System)and a distance diffrence measurement of the TSS(Twin Synchronous Satellites System)is studied.The operation principle of this combined system is described,the corresponding mathematic model has been established,and the analytical resolution has been solved by the use of Lagrange Multiplier.At last,the MATLAB is used to simulate the system operation,and the error aralysis is carried out.The analysis results show that shch a navigation system can correct the positioning error of the INS distributing along with the direction from one of the geostationary stellites to the another,but cannot correct the positioning error on the orthogonal direction.The distance difference is substantially a measurement of one dimension.The other independent measurements are necesary to put into the system in order to form a combined system that could correct the measurement errors of the INS in all the three dimensions.