• Title/Summary/Keyword: F-P-K 방정식

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An Experimental Study on the Stochastic Control of a Flexible Structural System (유연한 구조물의 확률론적 제어에 대한 실험적 연구)

  • Kim, Dae-Jung;Heo, Hoon
    • Journal of KSNVE
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    • v.9 no.3
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    • pp.502-508
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    • 1999
  • Newly developed control methodology applied to dynamic system under random disturbance is investigated and its performance is verified experimentall. Flexible cantilever beam sticked with piezofilm sensor and piezoceramic actuator is modelled in physical domain. Dynamic moment equation for the system is derived via Ito's stochastic differential equation and F-P-K equation. Also system's characteristics in stochastic domain is analyzed simultaneously. LQG controller is designed and used in physical and stochastic domain as wall. It is shown experimentally that randomly excited beam on the base is controlled effectively by designed LQG controller in physical domain. By comparing the result with that of LQG controller designed in stochastic domain, it is shown that new control method, what we called $\ulcorner$Heo-stochastic controller design technique$\lrcorner$, has better performance than conventional ones as a controller.

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Relationship of Visual Acuity and Refractive Error in Elementary School Students (초등학생들의 굴절이상과 시력과의 관계)

  • Park, Eun-Kyu
    • Journal of Korean Ophthalmic Optics Society
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    • v.13 no.4
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    • pp.141-143
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    • 2008
  • Purpose: This study investigated visual acuity and refractive error in elementary schoolchildren and examined relationship between visual acuity and refractive error. Methods: Naked visual acuity and refractive error for selected 200 schoolchildren (400 eyes) of 1st, 3rd and 6th grades. Results: The refractive error in hyperopia was gradually decreased and visual acuity was increased as higher grade. The regression line of Y=2.1471X-3.1484 (F=313.9377, P<0.001) and closed inter-relationship were found between visual acuity and refractive error in myopia. The regression line equation of Y=-0.6854X+1.1764 (F=7.054, P<0.01) and closed inter-relationship were found between visual acuity and refractive error in hyperopia. The relationship between visual acuity and refractive error in astigmatism was Y=2.2509X-2.8738 (F=21.7952, P<0.001) and closed inter-relationship was found. Conclusions: Myopia, hyperopia and astigmatism showed closed inter-relationship with visual acuity.

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A Numerical Analysis on the solution of Poisson Equation by Direct Method (직접법을 이용한 Poisson 방정식 수치해법에 관하여)

  • Y.S. Shin;K.P. Rhee
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.3
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    • pp.62-71
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    • 1995
  • In the numerical analysis of incompressible unsteady Navier-stokes equation, large time is required for solving the pressure Poisson equation of the elliptic type at each time step. In this paper, a numerical analysis by the direct method is carried out to solve the pressure Poisson equation and the computing time is analyzed as mesh size increases. The pressure Poisson equation can be transformed to the boundary value problem by the Green theorem. The computing time for the convolution type of the domain integral can be reduced by using F.F.T. and the computing time in the direct method depends entirely on obtaining the solution of the boundary value problem. The numerical analysis on the known solutions is carried out and compared for the verification of the direct method. And the numerical analysis on the body boundary and domain decomposition problem are carried out with the computing time less than O($n^{3}$) in the (n.n) mesh.

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A Experimental Study of Stochastic Controller Realizing Technique (실험적 연구를 통한 확률제어기 구현)

  • Lee, Jong-Bok;Kim, Yong-Kwan;Yoon, Young-Soo;Choi, Won-Seok;Heo, Hoon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.715-718
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    • 2002
  • A control strategy for a dynamic system under Irregular disturbance by using stochastic controller is developed. In order to design stochastic controller. system dynamic model in real domain is transformed dynamic moment equation in stochastic domain by F-P-K approach. A study of real time control technique for stochastic controller is presented. The performance of stochastic controller is verified through experiment used by real time control technique method.

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System Identification in Stochastic Domain using Output only (확률영역에서 시스템 출력만을 이용한 시스템 규명)

  • Park, Seok-Man;Yeo, Un-Gyeong;Lee, Dong-Hui;Chae, Gyo-Sun;Heo, Hun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.706-709
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    • 2007
  • 일반적으로 알려진 시스템 규명은 시스템의 입/출력 관계를 이용하여 시스템을 규명하고 그 파라미터를 구하고 있다. 그러나 많은 경우에 시스템이 불규칙한 외란에 노출된 경우에는 알려져 있는 시스템의 규명방법이 없다. 이에 그 특성이 알려져 있지 않은 미지의 시스템이 미지의 불규칙한 외란에 노출되었을 때에 그 시스템을 규명하는 방법을 연구 개발하였다. 여기서는 시스템의 출력이 정상적(Stationary)일 때만 이를 확률영역에서 고려하였다. 확률 영역에서 시스템의 응답은 시스템 파라미터의 영향을 크게 받는바 시스템모멘트응답을 시스템 파라미터와의 관계로 구성할 수 있다. 이로부터 시스템의 출력만을 이용하여 시스템 파라미터의 규명이 가능하게 되었다. 본 연구에서는 실 물리영역에서의 출력을 확률영역에서의 모멘트 응답으로 변환시킨 후 역변환 개념으로 미지의 불규칙 외란에 노출되어진 미지의 2차 선형 확률시스템의 파라메타를 성공적으로 규명하였다.

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System Identification Using Stochastic Output Only (확률영역에서 시스템 출력만을 이용한 시스템 규명)

  • Park, Sung-Man;Lee, Dong-Hee;Lee, Jong-Bok;Kwon, O-Shin;Kim, Jin-Sung;Heo, Hoon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.10
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    • pp.918-922
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    • 2007
  • Most of the study on system identification has been carried out using input/output relation in physical domain. However identification concept of stochastic system has not been reported up to now. Interest is focused to identify an unknown dynamic system under random external disturbances which is not possible to measure. A concept to identify the system parameters in stochastic domain is proposed and implemented in terms of simulation. Attempt has been made to identify the system parameters in inverse manner in stochastic domain based on system output only. Simulation is conducted to reveal quite noticeable performance of the proposed concept.

Flutter Control of Flexible Structure under Random Atmospheric Disturbance (불규칙한 대기교란을 받는 유연한 구조물의 플러터 제어)

  • Oh, Soo-Young;Kim, Yong-Kwan;Cho, Kyoung-Lae;Heo, Hoon;Cho, Yun-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1210-1215
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    • 2000
  • Investigation is performed on the stability of general form of dynamic system under colored noise random disturbance whose damping and stiffness are varying in irregular manner along time, which is a preliminary result in the course of research on the characteristic and the control of the stochastic system. Adopted physical model is airfoil under random atmospheric disturbance, which becomes a "time-varying system" whose the governing equation is derived via F-P-K approach in stochastic sense. Control performance and effect of 'Heo-stochastic controller for colored noise' is studied. Also stochastic feature of flutter boundary is discussed as well.

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A Stochastic Control for Nonlinear Systems under Random Disturbance Based on a Fluid Motion (유체운동에 의한 불규칙 가진을 받는 비선형계의 확률제어)

  • Oh, Soo-Young;Kim, Yong-Kwan;Cho, Lae-Kyoung;Choi, Young-Seob;Heo, Hoon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.892-896
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    • 2001
  • Investigation is performed on the stability of nonlinear system under turbulent fluid motion modelled as white noise random process, which is a preliminary result in the course of research on the characteristic and nonlinear control of the stochastic system. Adopted physical model is beam-type structure with tip-mass and main base mass. The governing equation is derived via F-P-K approach in stochastic sense. By means of Gaussian Closure method infinite dynamic moment equations due to system nonlinearity is closed to finite one. At the best of authors' knowledge, it is the first trial to design nonlinear controller by using of sliding mode technique in stochastic domain and control performance and effect in stochastic domain is studied.

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Diagnosis of Early Dental Caries with Dye-Enhancing Quantitative Light-Induced Fluorescence (QLF) (정량 광유도 형광법(QLF)과 광활성제를 이용한 초기 치아우식증의 진단)

  • Kim, Mihee;Lee, Sangho;Lee, Nanyoung
    • Journal of the korean academy of Pediatric Dentistry
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    • v.42 no.3
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    • pp.218-225
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    • 2015
  • This study used sodium fluorescein to improve imaging diagnostic ability by increasing the fluorescence difference between sound enamel and caries lesions. It also made it easier to discriminate between stain and caries lesions using quantitative light-induced fluorescence (QLF). Half of the specimen surface was covered with nail varnish as a control. Specimens were divided randomly in six decalcification groups and decalcified for different lengths of time. Then, ${\Delta}F$ was measured using QLF-D. After applying 0.075% sodium fluorescein, we measured ${\Delta}F$ again and compared it with the initial value. After cutting the central portion of the specimen, we measured the lesion depth using scanning electron microscopy. The lesion surfaces observed with QLF were darker than normal enamel, whereas they were lighter than normal enamel after applying fluorescein. Longer decalcification time was associated with greater fluorescent dye penetration. The ${\Delta}F$ measured after applying fluorescein was higher than the initial value (p < 0.05). Due to QLF measurement using fluorescein being more sensitive for diagnosing early decalcification, this approach will enable early diagnosis of dental caries before the cavity formation stage, allowing the treatment of early caries lesions. With QLF and sodium fluorescein, we can easily discriminate between stain and caries lesions.

Experimental Study on the Control for a Randomly Disturbing Dynamic System (불규칙한 교란을 받는 동적 시스템의 제어에 관한 실험적 연구)

  • Lee, Jong-Bok;Cho, Yun-Hyun;Yang, In-Beom;Park, Sung-Man;Heo, Hoon
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1120-1125
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    • 2007
  • Experimental study on the control of randomly disturbing system is conducted. External and internal disturbances are imposed to the system in combined manner. A vertical propeller system exposed horizontal weak turbulent air flow is chosen as an experimental model. The aim of the control system is to maintain the angular position of vertical propeller in parallel to air flow. Trajectory Tracking Stochastic Controller (TTSC) is designed to ensure system's stability while following system command. The Trajectory Tracking Stochastic Controller is composed of two controller, one is stochastic controller to suppress internal random noise and the other one is trajectory-tracking controller to follow the command having random noise. The proposed hybrid controller, TTSC, shows remarkable performance in pitch control of vertical propeller system in wind-tunnel test

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