New realisation of Preisach model using adaptive polynomial approximation

References

• Agrawal , BN , Elshafei , MA and Song , G . 1997 . Adaptive Antenna Shape Control using Piezoelectric Actuators . Acta Astronautica , 40 : 821 – 826 .
   Web of Science ®Google Scholar
• Bertotti , G . 1998 . Hysteresis in Magnetism , New York : Academic .
   Google Scholar
• Croft , D , Shed , G and Devasia , S . 2001 . Creep, Hysteresis, and Vibration Compensation for Piezoactuators: Atomic Force Microscopy Application . ASME Journal of Dynamic Systems, Measurement, and Control , 123 : 35 – 43 .
   Web of Science ®Google Scholar
• Dlala , E , Saitz , J and Arkkio , A . 2005 . Hysteresis Modeling based on Symmetric Minor Loops . IEEE Transactions on Magnetics , 41 : 2343 – 2348 .
   Web of Science ®Google Scholar
• Ge , P and Jouaneh , M . 1996 . Tracking Control of a Piezoceramic Actuator . IEEE Transactions on Control Systems Technology , 4 : 209 – 216 .
   Web of Science ®Google Scholar
• Ge , P and Jouaneh , M . 2005 . Modeling Hysteresis in Piezoceramic Actuators . Precision Engineering , 17 : 211 – 221 .
   Web of Science ®Google Scholar
• Haykin , SS . 2002 . Adaptive Filter Theory, , 4th , Englewood Cliffs, NJ : Prentice-Hall .
   Google Scholar
• Henze , O and Rucker , WM . 2002 . Identification Procedures of Preisach Model . IEEE Transactions on Magnetics , 38 : 833 – 836 .
   Web of Science ®Google Scholar
• Hong , X , Mitchell , RJ , Chen , S , Harris , CJ , Li , K and Irwin , GW . 2008 . Model Selection Approaches for Non-linear System Identification: A Review . International Journal of Systems Science , 39 : 925 – 946 .
   Web of Science ®Google Scholar
• Hughes , D and Wen , JT . 1995 . “ Preisach Modeling of Piezoceramic and Shape Memory Alloy Hysteresis ” . In in IEEE Conference on Control Applications – Proceedings 1086 – 1091 .
   Google Scholar
• Iyer , RV and Shirley , ME . 2004 . Hysteresis Parameter Identification with Limited Experimental Data . IEEE Transactions on Magnetics , 40 : 3227 – 3239 .
   Web of Science ®Google Scholar
• Jia, W.C., Luo, X., and Chen, X.D. (2005), ‘Modeling and Analysis of Hysteresis in Piezoceramic Actuators Excited by Dynamic Driving Frequency’, Piezoelectricity, Acoustic Waves, and Devices Applications, pp. 510–514.
   Google Scholar
• Mayergoyz , ID . 1985 . Hysteresis Models from the Mathematical and Control Theory Points of View . Journal of Applied Physics , 57 : 3803 – 3805 .
   Web of Science ®Google Scholar
• Mayergoyz , ID . 1991 . Mathematical Models of Hysteresis , New York : Springer-Verlag .
   Google Scholar
• Mayhan , P , Srinivasan , K , Watechagit , S and Washington , G . 2000 . Dynamic Modeling and Controller Design for a Piezoelectric Actuation System used for Machine Tool Control . Journal of Intelligent Material Systems and Structures , 11 : 771 – 780 .
   Web of Science ®Google Scholar
• Recktenwald , GW . 2001 . Numerical Methods with Matlab: Implementations and Applications , Upper Saddle River, NJ : Prentice-Hall .
   Google Scholar
• Song , G , Zhao , J , Zhou , X and De Abreu-Garcia , JA . 2005 . Tracking Control of a Piezoceramic Actuator with Hysteresis Compensation using Inverse Preisach Model . IEEE/ASME Transactions on Mechatronics , 10 : 198 – 209 .
   Web of Science ®Google Scholar
• Taarit , KI , Belkoura , L , Ksouri , M and Richard , JP . 2011 . A Fast Identification Algorithm is Proposed for Systems with Delayed Inputs . International Journal of Systems Science , 42 : 449 – 456 .
   Web of Science ®Google Scholar
• Tan , X and Baras , JS . 2005 . Adaptive Identification and Control of Hysteresis in Smart Materials . IEEE Transactions on Automatic Control , 50 : 827 – 839 .
   Web of Science ®Google Scholar
• Torre , ED . 2000 . Magnetic Hysteresis , Piscataway, NJ : IEEE Press .
   Google Scholar
• Villien , C and Ostertag , EP . 2009 . A Polynomial Approximation Algorithm for Real-time Maximum-Likelihood Estimation . IEEE Transactions on Signal Processing , 57 : 2085 – 2095 .
   Web of Science ®Google Scholar