Posterior Cramér-Rao bounds analysis for INS/USBL navigation systems

Abstract This paper presents a performance analysis for Ultra-Short Base Line (USBL) aided Inertial Navigation Systems (INS) resorting to lower bounds for the covariance of the estimators based on the Posterior Cramer-Rao Bounds (PCRB) theory. In this framework, the vehicle interrogates acoustic transponders located in known positions of the mission area. Two distinct design methodologies are presented: one that estimates essentially the position of the origin of the Body attached coordinate frame with respect to Earth, and the latter that tracks the position of the transponders in the Body-fixed coordinate frame. The performance of both systems is compared in simulation leading to the conclusion that it is equivalent. Their efficiency is also assessed in simulation by verifying that both systems perform near the PCRB.

[1]  T. Aoki,et al.  An integrated navigation system for autonomous underwater vehicles with two range sonars, inertial sensors and Doppler velocity log , 2004, Oceans '04 MTS/IEEE Techno-Ocean '04 (IEEE Cat. No.04CH37600).

[2]  Kelly M. Roscoe.  Equivalency Between Strapdown Inertial Navigation Coning and Sculling Integrals/Algorithms , 2001 .

[3]  K. Vickery.  Acoustic positioning systems. New concepts-the future , 1998, Proceedings of the 1998 Workshop on Autonomous Underwater Vehicles (Cat. No.98CH36290).

[4]  Petr Tichavský,et al.  Filtering, predictive, and smoothing Cramér-Rao bounds for discrete-time nonlinear dynamic systems , 2001, Autom..

[5]  S. M. Smith,et al.  Experimental results of an inexpensive short baseline acoustic positioning system for AUV navigation , 1997, Oceans '97. MTS/IEEE Conference Proceedings.

[6]  Xavier Lurton,et al.  The feasibility of a very-long baseline acoustic positioning system for AUVs , 1994, Proceedings of OCEANS'94.

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

[8]  Carlos Silvestre,et al.  USBL/INS Tightly-Coupled Integration Technique for Underwater Vehicles , 2006, 2006 9th International Conference on Information Fusion.

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

[10]  M. B. Larsen,et al.  Synthetic long baseline navigation of underwater vehicles , 2000, OCEANS 2000 MTS/IEEE Conference and Exhibition. Conference Proceedings (Cat. No.00CH37158).

[11]  Van Trees,et al.  Detection, Estimation, and Modulation Theory. Part 1 - Detection, Estimation, and Linear Modulation Theory. , 1968 .

[12]  Carlos H. Muravchik,et al.  Posterior Cramer-Rao bounds for discrete-time nonlinear filtering , 1998, IEEE Trans. Signal Process..

[13]  J. Gomes,et al.  Robotic ocean vehicles for marine science applications: the European ASIMOV project , 2000, OCEANS 2000 MTS/IEEE Conference and Exhibition. Conference Proceedings (Cat. No.00CH37158).

[14]  Kenneth R Britting,et al.  Inertial navigation systems analysis , 1971 .

[15]  P. H. Milne,et al.  Underwater Acoustic Positioning Systems , 1983 .