Optimized Kalman filter versus rigorous method in deformation analysis
-
Nezhla Aharizad
,
Halim Setan
Abstract.
Kalman filtering is a multiple-input, multiple-output filter that can optimally estimate the states of a system, and applicable for deformation analysis. The states are all the variables needed to completely describe the system behavior of the deformation process as a function of time (such as position, velocity etc.). The standard Kalman filter estimates the state vector where the measuring process is described by a linear system. In order to process a non-linear system an optimized aspect of Kalman filter is required. The main purpose of this research is to evaluate the optimized Kalman filter (OKF) as a non-robust method versus the iterative weighted similarity transformation (IWST) as a rigorous (also called robust) method. To satisfy this objective, first a detailed description on executing the optimized Kalman filter using the observation of angles and distances directly is provided. Then, 2-D total station data observations comprising distances and angles are used to demonstrate the OKF. For detecting the deformation, a real point-related test (single point test) is applied for every point as a local test. Consequently, the findings from OKF are compared and evaluated against the results from the IWST method. In general, the outcome of the Kalman filter algorithm is close to the preliminary results from the IWST method. The maximum and minimum differences in computed displacements are 0.2 and 2 millimeters respectively. Finally, Kalman filter approaches, having some properties, are recognized as suitable techniques for deformation analysis.
© 2012 by Walter de Gruyter Berlin Boston
Articles in the same Issue
- Masthead
- Editorial: Special Issue on Deformation Monitoring
- Model selection for system identification by means of artificial neural networks
- Adjustment of highly non-linear redundant systems of equations using a numerical, topology-based approach
- Optimized Kalman filter versus rigorous method in deformation analysis
- The application of the model of coordinate S-transformation for stability analysis of datum points in high-precision GPS deformation monitoring networks
- Velocity estimation of GPS base stations considering the coloured noises
- Spectral analysis of structural deformation – A case study
- Ambient vibration monitoring of slender structures by microwave interferometer remote sensing
- A 3-d laser scanning system and scan data processing method for the monitoring of tunnel deformations
- On the detection of systematic errors in terrestrial laser scanning data
- Point-based and plane-based deformation monitoring of indoor environments using terrestrial laser scanners
- Recurring mass movements on the Danube's bank at Dunaszekcső (Hungary) observed by geodetic methods
- Monitoring ground subsidence in Shanghai maglev area using two kinds of SAR data
- Monitoring of surface deformation in Dangxiong using PSInSAR technique
- IAG Commission 4: Mission and contributions to observing and modeling dynamic earth
Articles in the same Issue
- Masthead
- Editorial: Special Issue on Deformation Monitoring
- Model selection for system identification by means of artificial neural networks
- Adjustment of highly non-linear redundant systems of equations using a numerical, topology-based approach
- Optimized Kalman filter versus rigorous method in deformation analysis
- The application of the model of coordinate S-transformation for stability analysis of datum points in high-precision GPS deformation monitoring networks
- Velocity estimation of GPS base stations considering the coloured noises
- Spectral analysis of structural deformation – A case study
- Ambient vibration monitoring of slender structures by microwave interferometer remote sensing
- A 3-d laser scanning system and scan data processing method for the monitoring of tunnel deformations
- On the detection of systematic errors in terrestrial laser scanning data
- Point-based and plane-based deformation monitoring of indoor environments using terrestrial laser scanners
- Recurring mass movements on the Danube's bank at Dunaszekcső (Hungary) observed by geodetic methods
- Monitoring ground subsidence in Shanghai maglev area using two kinds of SAR data
- Monitoring of surface deformation in Dangxiong using PSInSAR technique
- IAG Commission 4: Mission and contributions to observing and modeling dynamic earth
