New techniques for initial alignment of strapdown inertial navigation system

Some new techniques for initial alignment of strapdown inertial navigation system are proposed in this paper. A new solution for the precise azimuth alignment is given in detail. A new prefilter, which consists of an IIR filter and a Kalman filter using hidden Markov model, is designed to attenuate the influence of sensor noise and outer disturbance. Navigation algorithm in alignment is modified to feedback continuously for the closed-loop system. It is shown that the initial estimated variance setting of azimuth angle error can influence the speed of initial alignment significantly. At the beginning of alignment, Kalman filter must make a very conservative guess at the initial value of azimuth angle error to get a high convergent speed of the azimuth angle. It is pointed out that the low signal to noise ratio makes the ordinary setting of the estimated azimuth variance slow down the convergent speed of the azimuth angle. Also is shown that the large azimuth angle error problem can be solved well by our solution. The feasibility of these new techniques is verified by simulation and experiment.

[1]  Paul Zarchan,et al.  Fundamentals of Kalman Filtering: A Practical Approach , 2001 .

[2]  P. Savage.  STRAPDOWN INERTIAL NAVIGATION INTEGRATION ALGORITHM DESIGN. PART 2: VELOCITY AND POSITION ALGORITHMS , 1998 .

[3]  I. Bar-Itzhack,et al.  Control theoretic approach to inertial navigation systems , 1988 .

[4]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[5]  L. Schimelevich,et al.  New approach to coarse alignment , 1996, Proceedings of Position, Location and Navigation Symposium - PLANS '96.

[6]  Dan Simon,et al.  Optimal State Estimation: Kalman, H∞, and Nonlinear Approaches , 2006 .

[7]  Guanrong Chen,et al.  Kalman Filtering with Real-time Applications , 1987 .

[8]  Mohinder S. Grewal,et al.  Global Positioning Systems, Inertial Navigation, and Integration , 2000 .

[9]  Robert M. Rogers,et al.  Applied Mathematics in Integrated Navigation Systems , 2000 .

[10]  Mohinder S. Grewal,et al.  Kalman Filtering: Theory and Practice Using MATLAB , 2001 .

[11]  Joaquín Aranda,et al.  REDUCED-ORDER KALMAN FILTER FOR ALIGNMENT , 1994 .

[12]  Itzhack Bar-itzhack,et al.  The Psi-Angle Error Equation in Strapdown Inertial Navigation Systems , 1978, IEEE Transactions on Aerospace and Electronic Systems.

[13]  John Weston,et al.  Strapdown Inertial Navigation Technology , 1997 .

[14]  Eric Moulines,et al.  Inference in hidden Markov models , 2010, Springer series in statistics.

[15]  John G. Proakis,et al.  Digital Signal Processing: Principles, Algorithms, and Applications , 1992 .

[16]  P. Savage.  Strapdown Inertial Navigation Integration Algorithm Design Part 1: Attitude Algorithms , 1998 .

[17]  Yeon Fuh Jiang,et al.  Error estimation of INS ground alignment through observability analysis , 1992 .

[18]  Jiang Cheng Fang,et al.  A fast initial alignment method for strapdown inertial navigation system on stationary base , 1996 .

[19]  N. El-Sheimy,et al.  Wavelet de-noising for IMU alignment , 2004, IEEE Aerospace and Electronic Systems Magazine.

[20]  O.A. Stepanov,et al.  Nonlinear filtering methods application in INS alignment , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[21]  T. M. Pham.  Kalman filter mechanization for INS airstart , 1992 .

[22]  Ling Xie,et al.  Reduced-order Kalman filter for RLG SINS initial alignment , 2008, 2008 Chinese Control and Decision Conference.

[23]  Yeon Fuh Jiang.  Error analysis of analytic coarse alignment methods , 1998 .

[24]  Morris M. Kuritsky,et al.  Inertial navigation , 1983, Proceedings of the IEEE.

[25]  Truong Q. Nguyen,et al.  Wavelets and filter banks , 1996 .

[26]  S. Eddy.  Hidden Markov models. , 1996, Current opinion in structural biology.

[27]  M. S. Grewal,et al.  Application of Kalman filtering to the calibration and alignment of inertial navigation systems , 1991 .

[28]  E. K. Gatcombe.  Discussion: “The Measurement of Oil-Film Thickness in Gear Teeth” (MacConochie, I. O., and Cameron, A., 1960, ASME J. Basic Eng., 82, pp. 29–34) , 1960 .

[29]  H. Ahn,et al.  Fast alignment using rotation vector and adaptive Kalman filter , 2006 .

[30]  C. Jekeli.  Inertial navigation systems with geodetic applications , 2000 .

[31]  B. M. Scherzinger.  Inertial navigator error models for large heading uncertainty , 1996, Proceedings of Position, Location and Navigation Symposium - PLANS '96.