An Easy-to-Implement Hysteresis Model Identification Method Based on Support Vector Regression

The classical Preisach hysteresis model and its modifications are time consuming to implement due to the determination of the weight function. Another defect of the Preisach-based model is that it could only be an approximation in the absence of the congruency property. For such reasons, this paper proposes a hysteresis model identification method based on support vector regression which could be a promising alternative in practical applications. Support vector machine is attractive in regression analysis due to its strong generalization capability. A four-stage identification procedure is implemented and key techniques are introduced in detail. The penalty parameter and the kernel parameter are optimized using grid search and cross-validation method. The influences of data scaling and parameter optimization are analyzed. An identified hysteresis model of aluminum nickel cobalt alloy is evaluated and verified with the criteria of mean squared error and identified time.

[1]  Qingsong Xu,et al.  Rate-Dependent Hysteresis Modeling and Control of a Piezostage Using Online Support Vector Machine and Relevance Vector Machine , 2012, IEEE Transactions on Industrial Electronics.

[2]  Junzhi Yu,et al.  Neural-Network-Based Nonlinear Model Predictive Control for Piezoelectric Actuators , 2015, IEEE Transactions on Industrial Electronics.

[3]  Ermanno Cardelli,et al.  Numerical Modeling of Hysteresis in Si-Fe Steels , 2014, IEEE Transactions on Magnetics.

[4]  Sungkyun Park,et al.  A Study on the Deperming of a Ferromagnetic Material by Using Preisach Model With $M\hbox{-}B$ Variables , 2013, IEEE Transactions on Magnetics.

[5]  Mohammad Ali Badamchizadeh,et al.  Using Neural Network Model Predictive Control for Controlling Shape Memory Alloy-Based Manipulator , 2014, IEEE Transactions on Industrial Electronics.

[6]  Alessandro Salvini,et al.  A neural approach for the numerical modeling of two-dimensional magnetic hysteresis , 2015, MMM 2015.

[7]  A. Ivanyi,et al.  A new neural-network-based scalar hysteresis model , 2002 .

[8]  Qingsong Xu,et al.  Identification and Compensation of Piezoelectric Hysteresis Without Modeling Hysteresis Inverse , 2013, IEEE Transactions on Industrial Electronics.

[9]  Jianguo Zhu,et al.  Hysteresis Modeling of High-Temperature Superconductor Using Simplified Preisach Model , 2015, IEEE Transactions on Magnetics.

[10]  Amr A. Adly,et al.  Using neural networks in the identification of Preisach-type hysteresis models , 1998 .

[11]  Pierluigi Siano,et al.  A Novel RBF Training Algorithm for Short-Term Electric Load Forecasting and Comparative Studies , 2015, IEEE Transactions on Industrial Electronics.