• Title/Summary/Keyword: Parametric Model

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A Robust Control System Design for Compensating Hysteresis of a Piezoelectric Actuator-based Actuation Unit (압전 소자 기반 구동 유닛의 히스테리시스 보상 강인 제어기 설계)

  • Kim, Hwa-Soo;Kim, Jong-Won
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.21 no.2
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    • pp.324-330
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    • 2012
  • In this paper, we presents a robust control system design for compensating hysteresis of a piezoelectric actuator-based actuation unit. First, the dynamics between the input voltage and the output displacement of the actuation unit are unravelled via a non-parametric system identification method. From the dynamic characteristics of those experimental transfer functions, a parametric model is then derived, whose dynamics match those of the non-parametric ones under various conditions on input voltages. A robust controller is constructed on the basis of this parametric model in order not only to effectively compensate the hysteresis of the actuation unit but also to guarantee the robust stability. Extensive experiments show that the proposed robust control system successfully mitigate the effect of the hysteresis and improve the tracking capability of the actuation unit.

A Study on the Analysis of Parametric Transformer (파라메트릭 변압기의 동작해석에 관한 연구)

  • 정기화;박한웅;우정인
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.7 no.1
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    • pp.37-45
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    • 1993
  • A parametric transformer, as static power converter operating on the principle of parametric excitation, is analysed. For the purpose of quantitative analysis of device, the mathematical model of the device is derived. On the basis of this model, the performances of the parametric transformer, such as over and under voltage protection, overload protection, bilateral filtering and frequency multiplication, are obtained quantitatively and analysed qualitatively.

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Geometric Fitting of Parametric Curves and Surfaces

  • Ahn, Sung-Joon
    • Journal of Information Processing Systems
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    • v.4 no.4
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    • pp.153-158
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    • 2008
  • This paper deals with the geometric fitting algorithms for parametric curves and surfaces in 2-D/3-D space, which estimate the curve/surface parameters by minimizing the square sum of the shortest distances between the curve/surface and the given points. We identify three algorithmic approaches for solving the nonlinear problem of geometric fitting. As their general implementation we describe a new algorithm for geometric fitting of parametric curves and surfaces. The curve/surface parameters are estimated in terms of form, position, and rotation parameters. We test and evaluate the performances of the algorithms with fitting examples.

Note on response dimension reduction for multivariate regression

  • Yoo, Jae Keun
    • Communications for Statistical Applications and Methods
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    • v.26 no.5
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    • pp.519-526
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    • 2019
  • Response dimension reduction in a sufficient dimension reduction (SDR) context has been widely ignored until Yoo and Cook (Computational Statistics and Data Analysis, 53, 334-343, 2008) founded theories for it and developed an estimation approach. Recent research in SDR shows that a semi-parametric approach can outperform conventional non-parametric SDR methods. Yoo (Statistics: A Journal of Theoretical and Applied Statistics, 52, 409-425, 2018) developed a semi-parametric approach for response reduction in Yoo and Cook (2008) context, and Yoo (Journal of the Korean Statistical Society, 2019) completes the semi-parametric approach by proposing an unstructured method. This paper theoretically discusses and provides insightful remarks on three versions of semi-parametric approaches that can be useful for statistical practitioners. It is also possible to avoid numerical instability by presenting the results for an orthogonal transformation of the response variables.

A Parametric Modeling Method for Automatic Fitting of Longitudinal Geometry of Box Girder in FCM Bridge (FCM 교량 박스거더의 종방향 형상 자동조정을 위한 파라메트릭 모델링 방법)

  • Lee, Sang-Ho;An, Hyun-Jung;Kim, Bong-Geun;Eom, In-Soo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.4
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    • pp.417-424
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    • 2010
  • This study proposes a parametric modeling method for efficient preliminary design of FCM(Free Cantilever Method) bridge. The method is capable of automatic fitting of cross section according to variation of span length of box girder which has variational section. Parameters for forming longitudinal geometry of box girder are defined, then implicit and explicit constraints, and functional relations among them are defined by applying statistics of parameters used in FCM bridge designs. The constraints and relations are applied to a sample bridge for verifying applicability of parametric modeling. In addition, material quantity of the sample model generated by parametric modeling is estimated and compared to the quantity of the real designed model to check the accuracy of the automatically designed parametric model.

Generation of Parametric Human Body Segment Models Using Korean Anthropometric Data (한국인의 인체측정 데이터를 이용한 파라메트릭 인체분절모델 생성)

  • Koo, Bon-Yeol;Choi, Myeong-Hwan;Chae, Je-Wook;Kim, Jay-Jung
    • Korean Journal of Computational Design and Engineering
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    • v.16 no.6
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    • pp.424-436
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    • 2011
  • In this paper, we propose a methodology of generating a parametric segment model for human body using the Korean anthropometric data. The model is defined as an articulated body model consisted with 19 ellipsoid primitives. The primitives are joined at locations representing the physical joints of human body. A lot of previous researches have suggested methodologies of generating body models using the European or American anthropometric data, so that these models were inappropriate for engineering analyses and simulations in case of the Koreans. We defined a set of 35 body dimensions representing our segment model based on the anthropometric data of Koreans. Also we defined four key parameters of age, height, weight and waist circumference, and then we applied regression equations to associate the parameters to the aforementioned dimensions. As the results, we obtained the parametric human body segment models according to the various body types and the subject-specific models for a specific individual. The models in the various industries can be used as the base models for static and dynamic analysis considering the Koreans.

A Note on Parametric Bootstrap Model Selection

  • Lee, Kee-Won;Songyong Sim
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.397-405
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    • 1998
  • We develop parametric bootstrap model selection criteria in an example to fit a random sample to either a general normal distribution or a normal distribution with prespecified mean. We apply the bootstrap methods in two ways; one considers the direct substitution of estimated parameter for the unknown parameter, and the other focuses on the bias correction. These bootstrap model selection criteria are compared with AIC. We illustrate that all the selection rules reduce to the one sample t-test, where the cutoff points converge to some certain points as the sample size increases.

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ASYMPTOTIC NORMALITY OF ESTIMATOR IN NON-PARAMETRIC MODEL UNDER CENSORED SAMPLES

  • Niu, Si-Li;Li, Qlan-Ru
    • Journal of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.525-539
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    • 2007
  • Consider the regression model $Y_i=g(x_i)+e_i\;for\;i=1,\;2,\;{\ldots},\;n$, where: (1) $x_i$ are fixed design points, (2) $e_i$ are independent random errors with mean zero, (3) g($\cdot$) is unknown regression function defined on [0, 1]. Under $Y_i$ are censored randomly, we discuss the asymptotic normality of the weighted kernel estimators of g when the censored distribution function is known or unknown.

A Note on Test for Model Adequacy in Nonlinear Regression

  • Kahng, Myung-Wook
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.689-694
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    • 2004
  • We investigate the test for model adequacy in nonlinear regression. We can expect the usual likelihood ratio statistic to be unaffected by any parametric- effect curvature; only the effect of intrinsic curvature needs to be considered. Multiplicative correction factor is derived for the limiting distribution of test statistic, which is a function of the intrinsic curvature arrays.

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