INS/GPS Integration: Global Observability Analysis
- 28 May 2008
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Vehicular Technology
- Vol. 58 (3), 1129-1142
- https://doi.org/10.1109/tvt.2008.926213
Abstract
Observability is an important aspect of the state-estimation problem in the integration of the inertial navigation system (INS) and the Global Positioning System (GPS) as it determines the existence and nature of solutions. In most previous research, conservative observability concepts, e.g., local observability and linear observability, have extensively been used to locally characterize the estimability properties. In this paper, a novel approach that directly starts from the basic observability definition is used to investigate the global observability of the nonlinear INS/GPS system with consideration of the lever arm uncertainty. A sufficient condition for the global observability of the system is presented. Covariance simulations with an extended Kalman filter (EKF) and a field test are performed to confirm the theoretical results. The global observability analysis approach is not only straightforward and comprehensive but also provides us with new insights that were unreachable by conventional methods.Keywords
This publication has 21 references indexed in Scilit:
- Experimental Study on the Estimation of Lever Arm in GPS/INSIEEE Transactions on Vehicular Technology, 2006
- Symbolic computing of nonlinear observable and observer formsApplied Mathematics and Computation, 2005
- Local observability matrix and its application to observability analysesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Local observability of nonlinear differential-algebraic equations (DAEs) from the linearization along a trajectoryIEEE Transactions on Automatic Control, 2001
- Observability analysis of piece-wise constant systems. I. TheoryIEEE Transactions on Aerospace and Electronic Systems, 1992
- Control theoretic approach to inertial navigation systemsJournal of Guidance, Control, and Dynamics, 1988
- The dynamical systems approach to differential equationsBulletin of the American Mathematical Society, 1984
- Recent Developments and Future Perspectives in Nonlinear System TheorySIAM Review, 1982
- Azimuth Observability Enhancement During Inertial Navigation System In-Flight AlignmentJournal of Guidance and Control, 1980
- Nonlinear controllability and observabilityIEEE Transactions on Automatic Control, 1977