Averaged Index Ratio State-Space Model and Kalman Filtering

2010 ◽  
Vol 2 (4) ◽  
pp. 207-215
Author(s):  
Alexander Ya. Polishchuk
Keyword(s):  
State Space ◽  
Kalman Filtering ◽  
State Space Model ◽  
Space Model ◽  
Index Ratio

scholarly journals Interval Kalman Filtering in Navigation System Design for an Uninhabited Surface Vehicle

2013 ◽  
Vol 66 (5) ◽  
pp. 639-652 ◽  
Author(s):  
A Motwani ◽  
SK Sharma ◽  
R Sutton ◽  
P Culverhouse
Keyword(s):  
Kalman Filter ◽  
System Design ◽  
State Space ◽  
Kalman Filtering ◽  
Navigation System ◽  
Potential Application ◽  
State Space Model ◽  
Space Model ◽  
Heading Angle ◽  
Modelling Assumptions

This paper reports on the potential application of interval Kalman filtering techniques in the design of a navigation system for an uninhabited surface vehicle namedSpringer. The interval Kalman filter (IKF) is investigated for this task since it has had limited exposure for such usage. A state-space model of theSpringersteering dynamics is used to provide a framework for the application of the Kalman filter (KF) and IKF algorithms for estimating the heading angle of the vessel under erroneous modelling assumptions. Simulations reveal several characteristics of the IKF, which are then discussed, and a review of the work undertaken to date presented and explained in the light of these characteristics, with suggestions on potential future improvements.

scholarly journals An Approach to Gravity Anomaly Solution in Airborne Scalar Gravimetry

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Wei Zheng ◽  
Xuefeng Chen
Keyword(s):  
State Space ◽  
Gravity Anomaly ◽  
Kalman Filtering ◽  
Measurement Errors ◽  
Gravity Data ◽  
State Space Model ◽  
Space Model ◽  
Remarkable Improvement ◽  
Solution Algorithms ◽  
Measurement Equations

Airborne scalar gravimetry, a kinematic survey technology, is one of the most efficient techniques to acquire the gravity data in the areas where it is neither practical nor possible to make terrestrial measurement. Recently, studies have shown that the precision reaches sub-mGal. Besides the improvement of the instruments, the data processing and gravity anomaly solution algorithms are evolving consistently. This paper investigates an approach based on developing a state space model and using Kalman filtering and smoothing to determine gravity anomaly. The state space model is developed based on the gravimeter measurement equations and measurement errors equations for the specific airborne gravimetry system. The proposed method is implemented to the airborne data collected in southeast China from GT-1A with a stabilized physical platform. The solution results based on the presented model using Kalman filtering and smoothing confirm that the approach was able to implement the solution and acquire the gravity anomaly information, and the comparison between the proposed method and the traditional method indicates that a remarkable improvement in the solution precision is achieved when the proposed method is used.

Sign in / Sign up

Export Citation Format

Share Document