Underwater navigation system with velocity measurement by a horizon Kalman filter

The problem of constructing a receding horizon filter for inertial navigation systems affected by external disturbance has been described. Noises are assumed to be bounded, additive and contained in both state and measurement equations. The estimator is designed according to the sliding-window strategy, so that it minimizes the receding horizon estimation cost function. The derived filter is applied to a velocity aided inertial navigation system. It is clearly demonstrated that the derived filter is more accurate than the standard Kalman filter for underwater navigation systems under the action of temporary unknown disturbances based on simulations.

[1]  A. J. Marco,et al.  Command, Control and Navigation: Experimental Results with the NPS , 2001 .

[2]  A. Jazwinski.  Limited memory optimal filtering , 1968 .

[3]  Chan Gook Park,et al.  Strapdown INS error model for multiposition alignment , 1996 .

[4]  Wook Hyun Kwon,et al.  FIR filters and recursive forms for discrete-time state-space models , 1987, Autom..

[5]  David Q. Mayne,et al.  Robust receding horizon control , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[6]  John Doyle,et al.  A receding horizon generalization of pointwise min-norm controllers , 2000, IEEE Trans. Autom. Control..

[7]  Wook Hyun Kwon,et al.  Fast algorithms for optimal FIR filter and smoother of discrete-time state-space models , 1994, Autom..

[8]  Wook Hyun Kwon,et al.  A receding horizon Kalman FIR filter for discrete time-invariant systems , 1999, IEEE Trans. Autom. Control..

[9]  G. J. Bierman.  Fixed memory least squares filtering , 1975 .

[10]  W. Kwon,et al.  On feedback stabilization of time-varying discrete linear systems , 1978 .

[11]  Guillermo C. Gaunaurd,et al.  Acoustic scattering by an air-bubble near the sea surfaceacoustic scattering by an air-bubble near the sea surface , 1995, IEEE Journal of Oceanic Engineering.

[12]  Shaojun Wei,et al.  Advances in the state of the art for AUV inertial sensors and navigation systems , 1994, Proceedings of IEEE Symposium on Autonomous Underwater Vehicle Technology (AUV'94).

[13]  Gerald J. Bierman.  Fixed memory least squares filtering (Corresp.) , 1975, IEEE Trans. Inf. Theory.

[14]  A. Jazwinski.  Limited memory optimal filtering , 1968 .