NDLI: Inversion-free stabilization and regulation of systems with hysteresis using integral action

Content Provider	IEEE Xplore Digital Library
Author	Esbrook, A. Xiaobo Tan Khalil, H.K.
Copyright Year	2013
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA (Esbrook, A.; Xiaobo Tan; Khalil, H.K.)
Abstract	In this paper, we present analysis on the stabilization and regulation of the tracking error for an n-dimensional dynamic system with zero dynamics, which is preceded by a Prandtl-Ishlinskii hysteresis operator. A general controller structure is considered; however, we assume that an integral action is present. We treat this problem from the perspective of switched systems, where the state of the hysteresis operator defines the switching surfaces. The common Lyapunov function theorem is utilized together with an LMI condition to show that, under suitable conditions, the tracking error of the system goes to zero exponentially fast when a constant reference is considered. A key feature of this LMI condition is that it does not require the hysteresis effect to be small, meaning that hysteresis inversion is not required. We use this condition together with a periodicity assumption to prove that a servocompensator-based controller can stabilize a system with hysteresis without using hysteresis inversion. Finally, we conduct experiments using a servocompensator-based controller, where we verify the stability of the system and achieve a mean tracking error of 0.5% at 200 Hz using a sinusoidal reference.
Starting Page	6245
Ending Page	6250
File Size	174096
Page Count	6
File Format	PDF
ISBN	9781479901777
ISSN	07431619
e-ISBN	9781479901784
DOI	10.1109/ACC.2013.6580817
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-06-17
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Hysteresis Stability analysis Nanopositioning Mathematical model Vectors Convergence Transforms
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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