title: SVD-based Preisach hysteresis identification and composite control of piezo actuators.
abstract: In this paper, the singular value decomposition (SVD) based identification and compensation of the hysteretic phenomenon in piezo actuators are addressed using a Preisach model. First, this paper presents an SVD-based least squares algorithm and a revision approach of the identification through updating the SVD. With the identified parameters and a log of the memory curve, a Preisach-based inversion compensator is constructed which is complemented with a feedback controller to address the inevitable and residual modeling errors. Experimental results are furnished for both the identification and compensation approaches. The Preisach-based feedforward controller significantly improves the tracking performance and reduces the root-mean-square (RMS) tracking error of a PID controller by 76.7% and 89% at 1 Hz and 25 Hz, respectively. With the proposed composite controller, the percent-RMS errors at 1 Hz and 25 Hz are reduced to 0.035% and 0.31%, respectively.
authors.affiliation: NUS Graduate School for Integrative Sciences and Engineering, Department of Electrical and Computer Engineering, National University of Singapore, 4 Engineering, 117576, Singapore. g0801812@nus.edu.sg
authors.forename: Lei
authors.initials: L
authors.lastname: Liu
authors.forename: Kok Kiong
authors.initials: KK
authors.lastname: Tan
authors.forename: Si-Lu
authors.initials: SL
authors.lastname: Chen
authors.forename: Sunan
authors.initials: S
authors.lastname: Huang
authors.forename: Tong Heng
authors.initials: TH
authors.lastname: Lee