The observation analysis of the initial alignment in the warship inertial navigation system

The initial alignment is one of the key technologies in the inertial navigation system. Nowadays Kalman filter (KF) is always used in the initial alignment to evaluate the angle error, the drift of the gyroscope and the bias of the accelerator. Before the design of the KF, we have to do the observation analysis of the KF to determine the effect of the filter. At first, this paper establishes the error model based on the moving base, then uses the singular and the spectrum condition number to make the comprehensive observability analysis of the subsection continuous system both on the static base and the moving base. Then through the reduction of the error equations, we analyze the observability in the theory. We did the simulation and also make the comparison.

[1]  U. Shaked,et al.  H/sub infinity /-optimal estimation: a tutorial , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[2]  P. Khargonekar,et al.  STATESPACE SOLUTIONS TO STANDARD 2 H AND H? CONTROL PROBLEMS , 1989 .

[3]  T. Kailath,et al.  Linear estimation in Krein spaces. II. Applications , 1996, IEEE Trans. Autom. Control..

[4]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[5]  S. Thomas Alexander,et al.  Adaptive Signal Processing , 1986, Texts and Monographs in Computer Science.

[6]  Cornelius T. Leondes,et al.  In-Flight Alignment and Calibration of Inertial Measurement Units - Part II: Experimental Results , 1972, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Tamer Bąar.  Optimum performance levels for minimax filters, predictors and smoothers , 1991 .

[8]  Babak Hassibiy,et al.  Linear Estimation in Krein Spaces -part Ii: Applications , 1996 .

[9]  P. Khargonekar,et al.  Filtering and smoothing in an H/sup infinity / setting , 1991 .

[10]  Necati Özdemir,et al.  State-space solutions to standard H? control problem , 2002 .

[11]  U. Shaked,et al.  H,-OPTIMAL ESTIMATION: A TUTORIAL , 1992 .

[12]  Pramod P. Khargonekar,et al.  FILTERING AND SMOOTHING IN AN H" SETTING , 1991 .

[13]  Ali H. Sayed,et al.  H∞ optimality of the LMS algorithm , 1996, IEEE Trans. Signal Process..

[14]  Alan M. Schneider,et al.  Kalman Filter Formulations for Transfer Alignment of Strapdown Inertial Units , 1983 .

[15]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[16]  Michael J. Grimble,et al.  Polynomial Matrix Solution of the H/Infinity/ Filtering Problem and the Relationship to Riccati Equation State-Space Results , 1993, IEEE Trans. Signal Process..

[17]  Cornelius T. Leondes,et al.  In-Flight Alignment and Calibration of Inertial Measurement Units - Part I: General Formulation , 1972, IEEE Transactions on Aerospace and Electronic Systems.

[18]  H. Kwakernaak.  A polynomial approach to minimax frequency domain optimization of multivariable feedback systems , 1986 .