Uncertainty evaluation and optimization of INS installation measurement using Monte Carlo Method

Purpose – The purpose of this paper is to increase the measurement accuracy of assembly deviations of an inertial navigation system, a new evaluation and optimal method of assembly metrology system is proposed, which takes into account the uncertainty from laser tracker hardware and coordinate system transformation, and is based on the Monte Carlo method. Design/methodology/approach – The uncertainty model of the laser tracker is established and its parameters are obtained from the known repeated test data by kriging interpolation and the least squares method. The errors of coordinate transformation are reduced by using a weighted point matching method, and the uncertainty of the transformation parameters is obtained based on the generalized inverse theory. The weighting coefficients of each reference point are optimized by the particle swarm optimization method according to the assembly requirements. Findings – The experiment results show that measurement error and predicted results match well, and the a...

[1]  K. S. Arun,et al.  Least-Squares Fitting of Two 3-D Point Sets , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[2]  Jang Gyu Lee,et al.  Comparison of SDINS in-flight alignment using equivalent error models , 1999 .

[3]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[4]  James B. Rawlings,et al.  Critical Evaluation of Extended Kalman Filtering and Moving-Horizon Estimation , 2005 .

[5]  H. Kunzmann,et al.  Concept for the Traceability of Measurements with Coordinate Measuring Machines , 1993 .

[6]  Sonko Osawa,et al.  Multiple orientation technique for the calibration of cylindrical workpieces on CMMs , 2005 .

[7]  S. Phillips,et al.  Performance evaluation of laser trackers , 2008, PerMIS.

[8]  Andrew Lewis,et al.  Laser tracker error determination using a network measurement , 2011 .

[9]  Alessandro Balsamo,et al.  Evaluation of CMM Uncertainty Through Monte Carlo Simulations , 1999 .

[10]  Yinglin Ke,et al.  Numerical study on predicting and correcting assembly deformation of a large fuselage panel during digital assembly , 2014 .

[11]  Mozafar Saadat,et al.  Dimensional variations during Airbus wing assembly , 2002 .

[12]  Ben Richard Hughes,et al.  Comparison of measurements in co-ordinate metrology. , 2009 .

[13]  Robert G. Wilhelm,et al.  Task Specific Uncertainty in Coordinate Measurement , 2001 .

[14]  C.Read Predmore,et al.  Bundle adjustment of multi-position measurements using the Mahalanobis distance , 2010 .

[15]  Smita Sadhu,et al.  Improving self-alignment of strapdown INS using measurement augmentation , 2009, 2009 12th International Conference on Information Fusion.

[16]  Hui Cheng,et al.  Modeling and analyzing of variation propagation in aeronautical thin-walled structures automated riveting , 2012 .

[17]  J. Sładek,et al.  Evaluation of coordinate measurement uncertainty with use of virtual machine model based on Monte Carlo method , 2012 .

[18]  Xinlong Wang Fast alignment and calibration algorithms for inertial navigation system , 2009 .

[19]  Jaleel Valappil,et al.  Systematic estimation of state noise statistics for extended Kalman filters , 2000 .

[20]  Saman Mukhtar Siddiqui,et al.  Integrated navigation and self alignment using Square Root Unscented Kalman filtering , 2013, Proceedings of 2013 10th International Bhurban Conference on Applied Sciences & Technology (IBCAST).

[21]  H Han Haitjema,et al.  Virtual CMM using Monte Carlo methods based on frequency content of the error signal , 2001, Lasers in Metrology and Art Conservation.

[22]  Yang Hu,et al.  Development of a novel virtual coordinate measuring machine , 2009, 2009 IEEE Instrumentation and Measurement Technology Conference.

[23]  L. Loron,et al.  Application of the extended Kalman filter to parameters estimation of induction motors , 2002 .

[24]  Hui Cheng,et al.  Optimization method of fixture layout for aeronautical thin‐walled structures with automated riveting , 2012 .

[25]  J. Beck,et al.  Bayesian State and Parameter Estimation of Uncertain Dynamical Systems , 2006 .

[26]  Smita Sadhu,et al.  Improved self-alignment scheme for SINS using augmented measurement , 2011 .

[27]  Thomas Ulrich Uncertainty estimation for kinematic laser tracker measurements , 2012, 2012 International Conference on Indoor Positioning and Indoor Navigation (IPIN).