Parameter estimation techniques for a polarization hysteresis model

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5383, Issue , 2004, Pages 155-163

  Smith, Ralph C ^a   Hatch, Andrew ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Compact operator; Hysteresis model; Parameter estimation; Regularization

Indexed keywords

COMPACT OPERATORS; POLARIZATION HYSTERESIS MODELS; REGULARIZATION;

DATA REDUCTION; ELECTROMAGNETIC WAVE POLARIZATION; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MAGNETIC HYSTERESIS; MAGNETOSTRICTION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; SHAPE MEMORY EFFECT;

FERROELECTRIC MATERIALS;

EID: 8844276832     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.547390     Document Type: Conference Paper

References (20)

1. W.S. Galinaitis and R.C. Rogers, "Compensation for hysteresis using bivariate Preisach models," SPIE Smart Structures and Materials, 1997, Mathematics and Control in Smart Structures, San Diego, CA, 1997.
2. P. Ge and M. Jouaneh, "Modeling hysteresis in piezoceramic actuators," Precision Engineering, 17, pp. 211-221, 1995.
3. C.W. Groetsch, The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind, Pitman, Boston, 1984.
4. P.D. Hislop and I.M Sigal, Introduction to Spectral Theory with Applications to Schrödinger Operators, Springer-Verlag, New York 1996.
5. R.V. Iyer, "Recursive estimation of the Preisach density function for a smart actuator," Proceedings of the SPIE, Smart Structures and Materials 2004, San Diego, CA, to appear.
6. R.V. Iyer and P.S. Krishnaprasad, "On a low-dimensional model for ferromagnetism," Nonlinear Analysis: Theory, Methods and Application, submitted; preprint available at http://www.math.ttu.edu/~rvenkata.
7. R.V. Iyer and M.E. Shirley, "Hysteresis identification with limited experimental data," IEEE Transactions on Magnetics, submitted; preprint available at http://www.math.ttu.edu/~rvenkata.
8. J.E. Massad and R.C. Smith, "A domain wall model for hysteresis in ferroelastic materials," Journal of Intelligent Material Systems and Structures, 14(7), 2003, pp. 455-471.
9. J.E. Massad, R.C. Smith and G.P. Carman, "A free energy model for thin-film shape memory alloys," Proceedings of the SPIE, Smart Structures and Materials 2003, Volume 5049, pp. 13-23, 2003.
10. A.W. Naylor and G.R. Sell, Linear Operator Theory in Engineering and Science, Springer-Verlag, New York, 2000.
11. D.C. Jiles and D.L. Atherton, "Theory of ferromagnetic hysteresis," Magnetism and Magnetic Materials, 61, pp. 48-60, 1986.
12. M.E. Shirley and R. Venkataraman, "On the identification of Preisach measures," Proceedings of the SPIE, Smart Structures and Materials 2003, Modeling, Signal Processing, and Control, Vol. 5049, pp. 326-336, 2003.
13. R.C. Smith, M.J. Dapino and S. Seelecke, "A free energy model for hysteresis in magnetostrictive transducers," Journal of Applied Physics, 93(1), pp. 458-466, 2003.
14. R.C. Smith and C.L. Hom, "Domain wall theory for ferroelectric hysteresis," Journal of Intelligent Material Systems and Structures, 10(3), pp. 195-213, 1999.
15. R.C. Smith and J.E. Massad, "A unified methodology for modeling hysteresis in ferroic materials," Proceedings of the 2001 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Vol 6, Pt B, pp. 1389-1398, 2001.
16. R.C. Smith and S. Seelecke, "An energy formulation for Preisach models," Proceedings of the SPIE, Smart Structures and Materials 2002, Volume 4693, pp. 173-182, 2002.
17. R.C. Smith, S. Seelecke, M.J. Dapino and Z. Ounaies, "A unified model for hysteresis in ferroic materials," Proceedings of the SPIE, Smart Structures and Materials 2003, Volume 5049, pp. 88-99, 2003.
18. R.C. Smith, S. Seelecke, Z. Ounaies and J. Smith, "A free energy model for hysteresis in ferroelectric materials," Journal of Intelligent Material Systems and Structures, 14(11), pp. 719-739, 2003.
19. X. Tan, R. Venkataraman and P.S. Krishnaprasad, "Control of hysteresis: Theory and experimental results," Smart Structures and Materials 2001, Modeling, Signal Processing and Control in Smart Structures, SPIE Vol. 4326, pp. 101-112, 2001.
20. C.R. Vogel, Computational Methods for Inverse Problems, SIAM, Philadelphia, PA, 2002.