• 제목/요약/키워드: invariant designs

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Minimum Mean Squared Error Invariant Designs for Polynomial Approximation

  • Joong-Yang Park
    • Communications for Statistical Applications and Methods
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    • 제2권2호
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    • pp.376-386
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    • 1995
  • Designs for polynomial approximation to the unknown response function are considered. Optimality criteria are monotone functions of the mean squared error matrix of the least squares estimator. They correspond to the classical A-, D-, G- and Q-optimalities. Optimal first order designs are chosen from the invariant designs and then compared with optimal second order designs.

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Robust second-order rotatable designs invariably applicable for some lifetime distributions

  • Kim, Jinseog;Das, Rabindra Nath;Singh, Poonam;Lee, Youngjo
    • Communications for Statistical Applications and Methods
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    • 제28권6호
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    • pp.595-610
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    • 2021
  • Recently a few articles have derived robust first-order rotatable and D-optimal designs for the lifetime response having distributions gamma, lognormal, Weibull, exponential assuming errors that are correlated with different correlation structures such as autocorrelated, intra-class, inter-class, tri-diagonal, compound symmetry. Practically, a first-order model is an adequate approximation to the true surface in a small region of the explanatory variables. A second-order model is always appropriate for an unknown region, or if there is any curvature in the system. The current article aims to extend the ideas of these articles for second-order models. Invariant (free of the above four distributions) robust (free of correlation parameter values) second-order rotatable designs have been derived for the intra-class and inter-class correlated error structures. Second-order rotatability conditions have been derived herein assuming the response follows non-normal distribution (any one of the above four distributions) and errors have a general correlated error structure. These conditions are further simplified under intra-class and inter-class correlated error structures, and second-order rotatable designs are developed under these two structures for the response having anyone of the above four distributions. It is derived herein that robust second-order rotatable designs depend on the respective error variance covariance structure but they are independent of the correlation parameter values, as well as the considered four response lifetime distributions.

Multi-Level Rotation Designs for Unbiased Generalized Composite Estimator

  • Park, You-Sung;Choi, Jai-Won;Kim, Kee-Whan
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2003년도 추계 학술발표회 논문집
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    • pp.123-130
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    • 2003
  • We define a broad class of rotation designs whose monthly sample is balanced in interview time, level of recall, and rotation group, and whose rotation scheme is time-invariant. The necessary and sufficient conditions are obtained for such designs. Using these conditions, we derive a minimum variance unbiased generalized composite estimator (MVUGCE). To examine the existence of time-in-sample bias and recall bias, we also propose unbiased estimators and their variances. Numerical examples investigate the impacts of design gap, non-sampling error sources, and two types of correlations on the variance of MVUGCE.

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Optimal Minimum Bias Designs for Model Discrimination

  • Park, Joong-Yang
    • Communications for Statistical Applications and Methods
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    • 제5권2호
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    • pp.339-351
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    • 1998
  • Designs for discriminating between two linear regression models are studied under $\Lambda$-type optimalities maximizing the measure for the lack of fit for the designs with fixed model inadequacy. The problem of selecting an appropriate $\Lambda$-type optimalities is shown to be closely related to the estimation method. $\Lambda$-type optimalities for the least squares and minimum bias estimation methods are considered. The minimum bias designs are suggested for the designs invariant with respect to the two estimation methods. First order minimum bias designs optimal under $\Lambda$-type optimalities are then derived. Finally for the case where the lack of fit test is significant, an approach to the construction of a second order design accommodating the optimal first order minimum bias design is illustrated.

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Generalized One-Level Rotation Designs with Finite Rotation Groups Part I:Generatio of Designs

  • Park, You-Sung;Kim, Kee-Whan
    • Journal of the Korean Statistical Society
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    • 제29권1호
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    • pp.29-44
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    • 2000
  • In this paper, we consider one-level rotation designs with finite rotation groups such that the design satisfies two basic requirements: all rotation groups are included in any given survey period, and overlapping rates depend only on the time lag. First we present the necessary number of rotation groups and a rule for the length of time the sample units are to be in or out of the sample to satisfy the requirements. Second, an algorithm is presented to put rotation groups to proper positions in a panel in order to include all finite rotation groups for any survey period. Third, we define an one-level rotation pattern which is invariant in the survey period and has useful properties in practical sense.

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기준 모델을 이용한 디지털 최소-시간 제어기 및 디지털 적응 제어기의 설계 (The Designs of the Digital Minimum-Time Controller and the Digital Adaptive Controller Using Refererce Model)

  • 김종환;최계근
    • 대한전자공학회논문지
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    • 제22권2호
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    • pp.31-35
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    • 1985
  • This paper presents novel designs of a digital minimum-time controller and a digital adaptive controller using reference no del for single input-single out put linear time-invariant plants with known parameters. The proposed digital minimum-time controller which has a deadbeat response is designed to make the transfer function of this controller equal to that of reference model, and the proposed digital adaptive controller is designed by applying the adaptation method to the proposed digital minimum-time controller. The designs of these two controllers are very simple and easy, and all types of input signal with any reference models are controllable. These dffectivenesses have been demon-strated by computer simulations carried out for a third-order plant.

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원형 제한 3체 문제의 불변위상공간을 이용한 행성간 궤적설계 기초 연구 (Preliminary Study on Interplanetary Trajectory Design using Invariant Manifolds of the Circular Restricted Three Body Problem)

  • 정옥철;안상일;정대원;김은규;방효충
    • 한국항공우주학회지
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    • 제43권8호
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    • pp.692-698
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    • 2015
  • 본 논문에서는 원형 제한 3체 문제의 불변위상공간을 이용하여 지구-달 또는 행성간의 궤적을 설계하고 해석하는 기법을 소개한다. 2체 문제를 조합하는 고전적인 방식 대신에 원형 제한 3체 문제에 대한 운동방정식, 궤적의 동적 특성, 평형점 주변의 리아프누프 궤도와 불변위상공간의 특성을 기술한다. 원형 제한 3체 문제의 불변위상공간을 이용했을 때, 지구-달 시스템의 궤적설계 방식과 태양-목성 시스템의 경계면에서의 초기조건에 따른 궤적 특성을 수치 시뮬레이션을 통해 확인한다. 본 논문에서 제안한 원형 제한 3체 문제의 불변위상공간을 이용한 궤적설계 기법은 저추력 또는 저에너지를 이용한 달탐사 또는 행성탐사 임무 등에 활용 가능할 것이다.

온라인 사용자 인증을 위한 지문인식 시스템 (Fingerprint Recognition System for On-line User Authentication)

  • 한상훈;이호;서정만
    • 한국컴퓨터정보학회논문지
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    • 제11권1호
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    • pp.283-292
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    • 2006
  • 최근 보안관련 기술에 대한 관심이 높아지고 있으며, 보안 취약성을 극복하고자 노력들이 진행되고 있다. 온라인 사용자에 대한 인증도 생체 정보인 지문을 통한 방법들이 모색되고 있는 실정이다. 본 연구에서는 온라인 사용자에 대한 인증을 위한 지문인식 시스템으로 회전에 무관한 지문인식 시스템을 설계 구현하였다. 지문 이미지의 전처리 과정, 특징점 추출을 통한 정합 과정에 초점을 두었으며, 기존 연구에서 제시된 회전에 무관한 지문 인식시스템에서 처리시간과 인식률을 개선하였다. 또한 방향성 라플라시안 필터를 적용하여 기존 연구의 전처리 과정에서 발생하는 잡음, 왜곡 등의 문제들을 개선할 수 있었다.

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Adaptive Actuator Failure Compensation Designs for Linear Systems

  • Chen, Shuhao;Tao, Gang;Joshi, Suresh M.
    • International Journal of Control, Automation, and Systems
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    • 제2권1호
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    • pp.1-14
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    • 2004
  • This paper surveys some existing direct adaptive feedback control schemes for linear time-invariant systems with actuator failures characterized by the failure pattern that some inputs are stuck at some unknown fixed or varying values at unknown time instants, and applications of those schemes to aircraft flight control system models. Controller structures, plant-model matching conditions, and adaptive laws to update controller parameters are investigated for the following cases for continuous-time systems: state tracking using state feed-back, output tracking using state feedback, and output tracking using output feedback. In addition, a discrete-time output tracking design using output feedback is presented. Robustness of this design with respect to unmodeled dynamics and disturbances is addressed using a modified robust adaptive law.

광 픽업 장치의 $H_{\infty}$ 위치 서보제어 ($H_{\infty}$ Position Servo Control of Optical Pick-Ups)

  • 임승철;김윤영
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 춘계학술대회논문집; 부산수산대학교, 10 May 1996
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    • pp.119-124
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    • 1996
  • Recently, high speed optical disk drives are increasingly demanded to read or write data fastly enough. To this end, both structure and controller designs of their optical pick-ups should be improved concurrently. In this paper, the pick-up during auto-focusing motion is mathematically modelled retaining all its peculiar features. The model turns out a linear time invariant system suitable for a control design method named H$_{\infty}$ which ensures robust stability in the presence of system uncertainties. Numerical simulation are performed to demonstrate the controller robustness with appropriate performance specifications being satisfied..

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