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Hysteresis modeling and compensation of a piezostage using least squares support vector machines
Xu Q.; Wong P.-K.
Source PublicationMechatronics

Hysteresis effect degrades the positioning accuracy of a piezostage, and hence the nonlinearity has to be suppressed for ultrahigh-precision positioning applications. This paper extends least squares support vector machines (LS-SVM) to the domain of hysteresis modeling and compensation for a piezostage driven by piezoelectric stack actuators. A LS-SVM model is proposed and trained by introducing the current input value and input variation rate as the input data set to formulate a one-to-one mapping. By adopting the radial basis function (RBF) as kernel function, the LS-SVM model only has two free hyperparameters, which are optimally tuned by resorting to Bayesian inference framework. The effectiveness of the presented model is verified as compared with two state-of-the-art approaches, namely, Bouc-Wen model and modified Prandtl-Ishlinskii (MPI) model. In addition, the LS-SVM inverse model based feedforward control combined with an incremental proportional-integral- derivative (PID) feedback control is designed to compensate the hysteresis nonlinearity. Experimental results show that the LS-SVM model based hybrid control scheme is superior to the Bouc-Wen model and MPI model based ones as well as either of the stand-alone controllers. The rate-dependent hysteresis is suppressed to a negligible level, which validates the effectiveness of the constructed controller. Owing to a simple procedure, the proposed LS-SVM based approach can be applied to modeling and control of other types of hysteretic systems as well. © 2011 Elsevier Ltd. All rights reserved.

KeywordHysteresis Least Squares Support Vector Machines (Ls-svm) Motion Control Piezoelectric Actuator
URLView the original
Indexed BySCI
WOS Research AreaAutomation & Control Systems ; Computer Science ; Engineering
WOS SubjectAutomation & Control Systems ; Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic ; Engineering, Mechanical
WOS IDWOS:000296221200012
The Source to ArticleScopus
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Cited Times [WOS]:60   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Corresponding AuthorWong P.-K.
AffiliationUniv Macau, Dept Electromech Engn, Fac Sci & Technol, Taipa, Peoples R China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Xu Q.,Wong P.-K.. Hysteresis modeling and compensation of a piezostage using least squares support vector machines[J]. Mechatronics,2011,21(7):1239.
APA Xu Q.,&Wong P.-K..(2011).Hysteresis modeling and compensation of a piezostage using least squares support vector machines.Mechatronics,21(7),1239.
MLA Xu Q.,et al."Hysteresis modeling and compensation of a piezostage using least squares support vector machines".Mechatronics 21.7(2011):1239.
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