An H∞ approach for robust estimation of material parameters in electrical capacitance tomography

Measurement Science and Technology

Volumn 22, Issue 10, 2011, Pages

  Neumayer, M ^a   Watzenig, D ^a   Zangl, H ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

capacitance tomography; model errors; robust estimation

Indexed keywords

CAPACITANCE; ELECTRIC IMPEDANCE TOMOGRAPHY; ERRORS; INVERSE PROBLEMS;

CAPACITANCE TOMOGRAPHY; ELECTRICAL CAPACITANCE TOMOGRAPHY; ILL-POSED INVERSE PROBLEM; MATERIAL PARAMETER; MODEL ERRORS; ROBUST ESTIMATION; ROBUST PARAMETER ESTIMATION; STABLE SOLUTIONS;

PARAMETER ESTIMATION;

EID: 80052699785     PISSN: 09570233     EISSN: 13616501     Source Type: Journal    
DOI: 10.1088/0957-0233/22/10/104004     Document Type: Article

References (19)

1. Williams R A and Beck M S 1995 Process Tomography, Principles, Techniques and Applications (Oxford: Butterworth-Heinemann)
2. Huttunen J M J and Kaipio J P 2007 Approximation errors in nonstationary inverse problems Inverse Problems Imaging 1 77-93
3. Watzenig D, Steiner G and Brandstätter B 2004 Managing Noisy Measurement Data by Means of Statistical Parameter Estimation in Electrical Capacitance Tomography 11th Proc. Int. IGTE Symp. pp 196-201
4. Kim H C, Kim K Y, Park J W and Lee H J 2001 Electrical impedance tomography reconstruction algorithm using extended Kalman filter Proc. IEEE Int. Symp. on Industrial Electronics, ISIE vol 3 pp 1677-81 (Pubitemid 32825302)
5. Scott D M 2009 The 'thousand words' problem: summarizing multi-dimensional data Nucl. Eng. Des. 241 1945-51 (Available online 2 October 2010)
6. Adler A and Guardo R 1996 Electrical impedance tomography: regularized imaging and contrast detection IEEE Trans. Med. Imaging 3 170-9 (Pubitemid 126780309)
7. Vauhkonen P J, Vauhkonen M, Savolainen T and Kaipio J P 1999 Three-dimensional electrical impedance tomography based on the complete electrode model IEEE Trans. Biomed. Eng. 46 1150-60 (Pubitemid 29409325)
8. Brandstätter B 2003 Jacobian calculation for electrical impedance tomography based on the reciprocity principle IEEE Trans. Magn. 39 1309-12
9. Christen J A and Fox C 2005 Markov chain Monte Carlo using an approximation J. Comput. Graph. Stat. 14 795-810 (Pubitemid 43017087)
10. Vauhkonen P J, Vauhkonen M and Kaipio J P 2000 Errors due to the truncation of the computational domain in static three-dimensional electrical impedance tomography Physiol. Meas. 21 125-35 (Pubitemid 30120679)
11. Kaipio J and Somersalo W 2004 Statistical and Computational Inverse Problems (Applied Mathematical Sciences vol 160) (Berlin: Springer)
12. Simon D 2006 Optimal State Estimation: Kalman, H-infinity, and Nonlinear Approaches (New York: Wiley)
13. Simon D 2001 From here to infinity Embedded Syst. Program. 14 20-32
14. ∞ Filtering with inequality constraints for aircraft turbofan engine health estimation 45th Proc. IEEE Decision and Control Conf. pp 3291-6 (Pubitemid 351283383)
15. Simon D and Simon D L 2006 Kalman filtering with inequality constraints for turbofan engine health estimation Proc. IEE Control Theory Appl. 153 371-8
16. Watzenig D, Brandstätter B and Holler G 2004 Adaptive regularization parameter adjustment for reconstruction problems IEEE Trans. Magn. 40 1116-9
17. Watzenig D and Fox C 2009 A review of statistical modelling and inference for electrical capacitance tomography Meas. Sci. Technol. 20 052002
18. Brandstätter B, Holler G and Watzenig D 2003 Reconstruction of inhomogeneities in fluids by means of capacitance tomography Int. J. Comput. Math. Electr. Eng. 22 508-19
19. Neumayer M, Zangl H, Watzenig D and Fuchs A 2011 Current reconstruction algorithms in electrical capacitance tomography New Developments and Applications in Sensing Technology (Springer Lecture Notes in Electrical Engineering) (Berlin: Springer)