A Theoretical Approach to Observability Analysis of the SDINS/GPS in Maneuvering with Horizontal Constant Velocity

다국어 초록 (Multilingual Abstract)

A theoretical method for analyzing the observability of a strapdown inertial navigation system (SDINS) integrated with the global positioning system (GPS) is proposed. The analysis is performed based on two types of maneuvers for a vehicle on a horizontal trajectory: level flight with constant north velocity and level flight with constant east velocity. The observability also is analyzed using the convergence theorem, stationary state observability analysis results, and Kalman filter measurement information to rearrange the SDINS error model equation. The state variables are divided into observable and unobservable parts, and determine which state variables are observable and estimable with some errors from the relationship of observable and unobservable state variables. Our results have shown that the north and east axes accelerometer bias errors were unobservable, and that attitude errors, and east and down axes gyro bias errors were estimable with some unknown bias errors. It has been shown that horizontal maneuvering improves the observability of down axis gyro bias error compared with the stationary state, and the estimation errors of the heading error state and east axis gyro bias error are dependent on the magnitude of north velocity. The results of the theoretical observability analysis are confirmed through computer simulation.

참고문헌 (Reference)

1 J. A. Farrell, "The Global Positioning System & Inertial Navigation" The McGraw-Hill Companies, Inc. 1999

2 지규인, "The Enhancement of INS Alignment Using GPS Measurements" 534-540, 1998

3 D. H. Titterton, "Strapdown Inertial Navigation Technology, In IEE Radar, Sonar, Navigation and Avionics Series" 1997

4 S. Hong, "Singular value decomposition approach to observability analysis of GPS/INS" 133-138, 2006

5 P. D. Groves, "Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems, In Irtech House GNSS Technology and Applications Series" 2008

6 D. Goshen-Meskin, "On the connection between estimability and observability" 37 (37): 1225-1226, 1992

7 F. M. Ham, "Observability, eigenvalues and Kalman filtering" 19 (19): 269-273, 1983

8 S. Hong, "Observability of error states in GPS/INS integration" 54 (54): 731-743, 2005

9 I. Rhee, "Observability of an Integrated GPS/INS during maneuvers" 40 (40): 526-535, 2004

10 S. Hong, "Observability measures and their application to GPS/INS" 57 (57): 97-106, 2008

11 D. Goshen-Meskin, "Observability analysis of piece-wise constant systems-Part II: application to inertial navigation in-flight alignment" 28 (28): 1068-1075, 1992

12 D. Goshen-Meskin, "Observability analysis of piece-wise constant systems-Part I: thoery" 28 (28): 1056-1067, 1992

13 S. Hong, "Experimental study on the estimation of lever-arm in GPS/INS" 55 (55): 431-448, 2006

14 Y. Baram, "Estimability and regulability of linear systems" 33 (33): 1116-1121, 1988

15 Y. F. Jiang, "Error estimation of INS ground alignment through observability analysis" 28 (28): 92-97, 1992

16 I. Y. Bar-Itzhack, "Control theoretic approach to inertial navigation systems" 11 (11): 237-245, 1988

17 E. H. Shin, "Accuracy Improvement of Low Cost INS/GPS for Land Applications" The University of Calgary 2001

18 K. G. Kim, "A new initial alignment algorithm for strapdown inertial navigation system using sensor output" 13034-13039, 2008

19 J. C. Fang, "A fast initial alignment method for strapdown inertial navigation system on stationary base" 32 (32): 1501-1505, 1996