Journal ArticleDOI
Adaptive Sliding-Mode Position Control for Piezo-Actuated Stage
Xinkai Chen,Takeshi Hisayama +1 more
TLDR
The proposed control law ensures the global stability of the controlled piezo-actuated stage, and the position error can be controlled to be as small as required by choosing the design parameters.Abstract:
The piezo-actuated stage is composed of a piezoelectric actuator (PEA) and a positioning mechanism (PM). Due to the existence of hysteretic nonlinearity in the PEA and the friction behavior in the PM, the accurate position control of the piezo-actuated stage is a challenging task. This paper discusses the adaptive sliding mode control for the piezo-actuated stage, where the hysteresis is described by the Prandtl-Ishlinskii model. This paper tries to fuse the hysteresis model with the adaptive control techniques, where the real value of the parameters of the stage need neither be identified nor be measured. The proposed control law ensures the global stability of the controlled piezo-actuated stage, and the position error can be controlled to be as small as required by choosing the design parameters. Experimental results show the effectiveness of the proposed method.read more
Citations
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Journal ArticleDOI
Modeling and Control of Piezo-Actuated Nanopositioning Stages: A Survey
TL;DR: The progresses of different modeling and control approaches for piezo-actuated nanopositioning stages are discussed and new opportunities for the extended studies are highlighted.
Journal ArticleDOI
An Analytical Generalized Prandtl–Ishlinskii Model Inversion for Hysteresis Compensation in Micropositioning Control
TL;DR: In this paper, the analytical inverse of a generalized Prandtl-Ishlinskii model is formulated to compensate for hysteresis nonlinearities of smart actuators.
Journal ArticleDOI
Practical Nonsingular Terminal Sliding-Mode Control of Robot Manipulators for High-Accuracy Tracking Control
TL;DR: This paper presents a practical nonsingular terminal sliding-mode (TSM) tracking control design for robot manipulators using time-delay estimation (TDE) and provides high-accuracy control and robustness against parameters variations.
Journal ArticleDOI
Modeling and Compensation of Asymmetric Hysteresis Nonlinearity for Piezoceramic Actuators With a Modified Prandtl–Ishlinskii Model
Guoying Gu,Li-Min Zhu,Chun-Yi Su +2 more
TL;DR: This paper presents a modified Prandtl-Ishlinskii (P-I) (MPI) model for the asymmetric hysteresis description and compensation of piezoelectric actuators, and a generalized input function is introduced to replace the linear input function in the CPI model.
Journal ArticleDOI
Motion Control of Piezoelectric Positioning Stages: Modeling, Controller Design, and Experimental Evaluation
TL;DR: In this paper, a general skeleton on modeling, controller design, and applications of the piezoelectric positioning stages is presented, and a robust adaptive controller is developed based on a reduced dynamic model under both unknown hysteresis nonlinearities and parameter uncertainties.
References
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Book
Adaptive filtering prediction and control
Graham C. Goodwin,Kwai Sang Sin +1 more
TL;DR: This unified survey focuses on linear discrete-time systems and explores the natural extensions to nonlinear systems and summarizes the theoretical and practical aspects of a large class of adaptive algorithms.
Book
Mathematical models of hysteresis
TL;DR: A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described in this paper, which gives the necessary and sufficient conditions for the representation of actual hystresis nonlinearities by the scalareach model.
Journal ArticleDOI
Theory of ferromagnetic hysteresis
David Jiles,David L. Atherton +1 more
TL;DR: In this paper, a mathematical model of the hysteresis mechanisms in ferromagnets is presented based on existing ideas of domain wall motion including both bending and translation, which gives rise to a frictional force opposing the movement of domain walls.
Book
Hysteresis and Phase Transitions
Martin Brokate,Jürgen Sprekels +1 more
TL;DR: In this article, the authors present a mathematical model for phase transitions in Eutectoid carbon steels, based on the Caginalp model and the Penrose-Fife model.
Book
Differential models of hysteresis
TL;DR: In this article, the authors present a history of the Genesis of Hysteresis, plays, stops, and Prandtl-Ishlinski? Models, including the preisach model, the Duhem model, and the semilinear P.E.s with memory.