NDLI: Modeling and Inverse Compensation of Nonmonotonic Hysteresis in VO<formula formulatype=inline><tex Notation=TeX> $

Content Provider	IEEE Xplore Digital Library
Author	Jun Zhang Merced, E. Sepulveda, N. Xiaobo Tan
Copyright Year	1996
Abstract	Vanadium dioxide ( VO₂) undergoes a thermally induced solid-to-solid phase transition, which can be exploited for actuation purposes. VO₂-coated silicon cantilevers demonstrate abrupt curvature changes when their temperature is varied across the phase transition. Unlike the monotonic hysteresis phenomena observed in many other smart materials, the curvature-temperature hysteresis of VO₂ actuators is nonmonotonic due to competing mechanisms associated with the material's phase transition and the different thermal expansion coefficients of the materials that form the bilayered cantilever. Motivated by the underlying physics, a novel model for the nonmonotonic hysteresis that combines a monotonic Preisach hysteresis operator and a quadratic operator is presented. A constrained least-squares scheme is proposed for model identification, and an effective inverse control scheme is presented for hysteresis compensation. For comparison purposes, a Preisach operator with a signed density function and a single-valued polynomial model are considered. Experimental results show that, for a 300- μm -long actuator, the largest modeling errors with the proposed model, the signed Preisach operator, and the polynomial approximation are 46.8, 80.3, and 483 m^-1, respectively, over the actuated curvature range of [ -104, 1846] m^-1. In addition, both the largest tracking error and root-mean-square error under the proposed inversion scheme are only around 10% of those under the polynomial-based inversion scheme.
Starting Page	579
Ending Page	588
Page Count	10
File Size	1111709
File Format	PDF
ISSN	10834435
Volume Number	19
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Hysteresis Temperature measurement Thermal expansion Density functional theory Silicon Heating vanadium dioxide (${\rm VO_2}$) Inverse compensation nonmonotonic hysteresis phase-transition materials Preisach operator
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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