• Title/Summary/Keyword: Series Expansion

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Controller development for an EMS using nonlinear feedback linearization (비선형 궤환 선형화를 사용한 자기부상 열차의 제어기 개발)

  • 서진헌;진주화
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.669-674
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    • 1990
  • A nonlinear feedback linearizing control method for a EMS(Electro Magnetic Suspension) system is proposed. After linearizing the system using the exact linearizing method, conventional linear system control theory has been applied. Computer simulations are carried out in order to compare the performance of the proposed controller with that of the existing controller designed by using Taylor series expansion around nominal points.

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Inverse Design For a Airfoil Using Optimizing Method (최적화기법을 이용한 익형의 역설계)

  • Kim Jong-seub;Park Warn-gyu
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.126-130
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    • 1997
  • A new and efficient method is presented for design optimization, which is based on a computational fluid dynamics (CFD). The method is applied to design an airfoil configuration. The Navier-Stokes equations are solved for the viscous analysis of the flow, which provides the object function. The CFD analysis is then coupled with the optimization procedure that used a conjugate gradient method. During the one-dimensional search of the optimization procedure, an approximate flow analysis based on a first-order Taylor series expansion is used to reduce the computational cost, (This study is supported by Korean Ministry of Education through Research Fund)

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A New Algorithm for Recursive Short-term Load Forecasting (순환형식에 의한 기분거좌상측 알고리)

  • Young-Moon Park;Sung-Chul Oh
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.32 no.5
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    • pp.183-188
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    • 1983
  • This paper deals with short-term load forecasting. The load model is represented by the state variable form to exploit the Kalman filter technique. The load model is derived from Taylor series expansion and remainder term is considered as noise term. In order to solve recursive filter form, among various algorithm of solving Kalman filter, this paper uses exponential data weighting technique. This paper also deals with the asymptotic stability of filter. Case studies are carried out for the hourly power demand forecasting of the Korea electrical system.

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Controller Development for a Single-Magnet Suspension System Using Nonlinear Feedback Linearization (비선형궤환 선형화 기법을 사용한 단일 자석 자기부상 시스템의 제어기 개발)

  • 진주화;서진헌;김국헌
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.3
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    • pp.292-299
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    • 1992
  • A nonlinear feedback linearizing control method for an EMS (Electro-Magnetic Suspension) system is proposed. After linearzing the system using the exact linearizing method, conventional linear system control theory has been applied. Robustness properties of the proposed controller with respect to the load variations is also analysed for a single magnet suspension system. Computer simulation is carried out in order to compare the performance of the proposed controller with that of the existing controller designed by using Taylor series expansion around nominal points.

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Parameter Estimation for an Infinite Dimensional Stochastic Differential Equation

  • Kim, Yoon-Tae
    • Journal of the Korean Statistical Society
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    • v.25 no.2
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    • pp.161-173
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    • 1996
  • When we deal with a Hilbert space-valued Stochastic Differential Equation (SDE) (or Stochastic Partial Differential Equation (SPDE)), depending on some unknown parameters, the solution usually has a Fourier series expansion. In this situation we consider the maximum likelihood method for the statistical estimation problem and derive the asymptotic properties (consistency and normality) of the Maximum Likelihood Estimator (MLE).

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Analysis of Offset Dual Reflector Antennas Using the Zernike Polynomials (Zernike 다항식을 이용한 오프셋 복 반사경 안테나의 해석)

  • Hak Kuen Choi
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.9
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    • pp.662-670
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    • 1991
  • Fast analysis method for calculating the radiation pattern of offset dual reflector antenna are presented. The validity of proposed method was verified by comparing with results of PO/PO, GO/PO, and the equivalent paraboloid method. Proposed method is the series expansion method using the Zernike polynomials. The calculated results by using the Zernike polynomials are in good agreement with obtained results by GO/PO and equivalent paraboloid method except PO/PO.

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Estimation for the extreme value distribution under progressive Type-I interval censoring

  • Nam, Sol-Ji;Kang, Suk-Bok
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.643-653
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    • 2014
  • In this paper, we propose some estimators for the extreme value distribution based on the interval method and mid-point approximation method from the progressive Type-I interval censored sample. Because log-likelihood function is a non-linear function, we use a Taylor series expansion to derive approximate likelihood equations. We compare the proposed estimators in terms of the mean squared error by using the Monte Carlo simulation.

A Hamiltonian Property of Pyramid Graphs (피라미드 그래프의 헤밀톤 특성)

  • Chang Jung-Hwan
    • The KIPS Transactions:PartA
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    • v.13A no.3 s.100
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    • pp.253-260
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    • 2006
  • In this paper, we analyze the Hamiltonian property of Pyramid graphs. We prove that it is always possible to construct a Hamiltonian cycle of length $(4^N-1)/3$ by applying the proposed algorithm to construct series of cycle expansion operations into two adjacent cycles in the Pyramid graph of height N.

DISK-HOMOGENEOUS RIEMANNIAN MANIFOLDS

  • Lee, Sung-Yun
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.395-402
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    • 1999
  • We introduce the notion of strongly k-disk homogeneous apace and establish a characterization theorem. More specifically, we prove that any analytic Riemannian manifold (M,g) of dimension n which is strongly k-disk homogeneous with 2$\leq$k$\leq$n-1 is a space of constant curvature. Its K hler analog is obtained. The total mean curvature homogeneity of geodesic sphere in k-disk is also considered.

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An Examination on the Singularoty of Grad Moment Equation for Shock Wave Problems

  • 오영기
    • Bulletin of the Korean Chemical Society
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    • v.17 no.4
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    • pp.385-390
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    • 1996
  • It has been well known that the Grad thirteen-moment equations have solutions only when the Mach number is less than a limiting value for the stationary plane shock-waves. The limit of Mach number has been re-examined by including successive terms in the series expansion of distribution function. The method employed is the linear analysis of moment equations near up-streaming and down-streaming flows. For the thirteen moment case, it has been confirmed that equations have solutions only when the Mach number is less than 1.6503, which is consistent with the literature value. For the case of twenty moments, the limit of Mach number is decreased to 1.3416.