Abstract
The estimation of initial errors and guidance instrumentation errors for maneuvering launched aircraft is an important research topic in the field of aerospace. This paper presents an estimation method based on linear model. The relationship between the initial orientation errors and the initial misalignment angles of platform is analyzed. A linear model that simultaneously estimates the initial errors and the guidance instrumentation errors is established by using linear approximation. The linear dependence between the initial orientation errors and the installation angle errors of accelerometers in the linear model is discovered. This serious multicollinearity of the linear model suggests that these errors cannot be uniquely determined without any prior information. The Bayes estimation method using prior information is given to overcome the multicollinearity. Simulation results show that the estimation accuracy is greatly improved compared with the principal component estimation method.
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