Constructive Proof of Preisach Right Inverse With Applications to Inverse Compensation of Smart Actuators With Hysteresis

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
Yangyang Dong ◽  
Hong Hu ◽  
Zijian Zhang
Keyword(s):  
Iterative Algorithm ◽  
Control Design ◽  
Geometric Interpretation ◽  
Constructive Proof ◽  
Preisach Model ◽  
Compensation Scheme ◽  
Fundamental Idea ◽  
Model Inversion ◽  
Significant Challenge ◽  
Piezoelectric Stack Actuator

Hysteresis poses a significant challenge for control of smart material actuators. If unaccommodated, the hysteresis can result in oscillation, poor tracking performance, and potential instability when the actuators are incorporated in control design. To overcome these problems, a fundamental idea in coping with hysteresis is inverse compensation based on the Preisach model. In this paper, we address systematically the problem of Preisach model inversion and its properties, employing the technique of three-step composition mapping and geometric interpretation of the Preisach model. A Preisach right inverse is achieved via the iterative algorithm proposed, which possesses same properties with the Preisach model. Finally, comparative experiments are performed on a piezoelectric stack actuator (PEA) to test the efficacy of the compensation scheme based on the Preisach right inverse.

Hysteretic modeling and simulation of a bilateral piezoelectric stack actuator based on Preisach model

2019 ◽  
Vol 59 (1) ◽  
pp. 271-280 ◽  
Author(s):  
Yajun Luo ◽  
Yuandong Qu ◽  
Yahong Zhang ◽  
Minglong Xu ◽  
Shilin Xie ◽  
...  
Keyword(s):  
Modeling And Simulation ◽  
Preisach Model ◽  
Piezoelectric Stack Actuator

Water sorption hysteresis in wood: II mathematical modeling – functions beyond data fitting

Holzforschung ◽  
2017 ◽  
Vol 71 (4) ◽  
pp. 317-326 ◽  
Author(s):  
Jingbo Shi ◽  
Stavros Avramidis
Keyword(s):  
Water Sorption ◽  
Geometric Interpretation ◽  
Domain Model ◽  
Preisach Model ◽  
Prediction Errors ◽  
Mathematical Form ◽  
Unknown Parameters ◽  
Red Cedar ◽  
Sorption Hysteresis ◽  
Independent Domain

Abstract The Preisach model, the mathematical form of the independent domain model, has been used to describe water sorption hysteresis in wood for over 20 years, however, its geometric interpretation has not been fully explored. In this work, it is demonstrated that the geometric interpretation can be used to explain the five experimental hysteresis patterns identified in the first paper of this series. Additionally, a modification to the aforementioned model is suggested that involves a numerical implementation, which avoids the use of unknown parameters. Our approach was evaluated at 25 and 40°C by comparing the predicted 1st to 4th order scanning curves with experimental data for Douglas-fir, western red cedar and Aspen. The low prediction errors and well-maintained wiping-out property support the suitability of our approach. Compared to other models found in literature, the presented model has the advantage of high accuracy and easy implementation due to its nonparametric nature.

PREISACH MODEL OF ER FLUIDS CONSIDERING TEMPERATURE VARIATIONS

2005 ◽  
Vol 19 (07n09) ◽  
pp. 1325-1331 ◽  
Author(s):  
Y. M. HAN ◽  
S. B. CHOI ◽  
H. J. CHOI
Keyword(s):  
Tracking Error ◽  
Preisach Model ◽  
Hysteresis Model ◽  
Temperature Variations ◽  
New Approach ◽  
Model Inversion ◽  
Nonlinear Hysteresis ◽  
Discrete Manner ◽  
Er Fluids ◽  
Er Fluid

This paper presents a new approach for hysteresis modeling of an electro-rheological (ER) fluid. The Preisach model is adopted to describe change of an ER fluid hysteresis with temperature, and its applicability is experimentally proved by examining two significant properties under two dominant temperature conditions. As a first step, the polymethylaniline (PMA)-based ER fluid is made by dispersing the chemically synthesized PMA particles into non-conducting oil. Then, using the Couette type electroviscometer, multiple first order descending (FOD) curves are constructed to consider temperature variations in the model. Subsequently, a nonlinear hysteresis model of the ER fluid is formulated between input (electric field) and output (yield stress). A compensation strategy is also formulated in a discrete manner through the Preisach model inversion to attain desired shear stress of the ER fluid. In order to demonstrate the effectiveness of the identified hysteresis model and the tracking performance of the control strategy, the field-dependent hysteresis loop and tracking error responses are experimentally evaluated in time domain and compared with responses obtained from Bingham model.

An Iterative Algorithm Combining Model Reduction and Control Design

1990 ◽  
Author(s):  
C. Hsieh ◽  
J. H. Kim ◽  
G. Zhu ◽  
K. Liu ◽  
R. E Skelton
Keyword(s):  
Model Reduction ◽  
Iterative Algorithm ◽  
Control Design ◽  
And Control

Shear stress tracking control of an electrorheological fluid considering hysteresis non-linearity

2004 ◽  
Vol 218 (2) ◽  
pp. 183-194 ◽  
Author(s):  
Y M Han ◽  
S B Choi
Keyword(s):  
Shear Stress ◽  
Tracking Control ◽  
Silicone Oil ◽  
Electrorheological Fluid ◽  
Preisach Model ◽  
Temperature Dependent ◽  
Model Inversion ◽  
Control Robustness ◽  
Discrete Manner ◽  
Er Fluid

This paper presents shear stress tracking control of an electrorheological (ER) fluid actuator subjected to the hysteresis non-linearity. As a first step, polymethylaniline (PMA) particles are prepared and mixed with silicone oil to make an ER fluid. The Couette-type electroviscometer is employed to achieve the field-dependent shear stress. The Preisach model for the PMA-based ER fluid is identified using experimental first-order descending (FOD) curves. A compensation strategy is then formulated in a discrete manner through the Preisach model inversion to achieve the desired shear stress of the ER fluid. A proportional-intergal-derivative (PID) feedback controller is also integrated with the compensator in order to guarantee control robustness to uncertainty due to temperature-dependent hysteresis variation. The tracking performance of the control strategy is experimentally evaluated for two different desired shear stress trajectories.

Mathematical simulation of error functions of decision-making at tolerance control of measuring techniques availability

Metrologiya ◽  
2020 ◽  
pp. 3-15
Author(s):  
Rustam Z. Khayrullin ◽  
Alexey S. Kornev ◽  
Andrew A. Kostoglotov ◽  
Sergey V. Lazarenko
Keyword(s):  
Measurement Error ◽  
Geometric Interpretation ◽  
Measuring Instruments ◽  
Measured Quantity ◽  
Metrological Examination ◽  
Technical Documentation ◽  
Error Functions ◽  
Measuring Techniques ◽  
Tolerance Control ◽  
Laws Of Distribution

Analytical and computer models of false failure and undetected failure (error functions) were developed with tolerance control of the parameters of the components of the measuring technique. A geometric interpretation of the error functions as two-dimensional surfaces is given, which depend on the tolerance on the controlled parameter and the measurement error. The developed models are applicable both to theoretical laws of distribution, and to arbitrary laws of distribution of the measured quantity and measurement error. The results can be used in the development of metrological support of measuring equipment, the verification of measuring instruments, the metrological examination of technical documentation and the certification of measurement methods.

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