• Title/Summary/Keyword: Step Parameter

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SPLINE DIFFERENCE SCHEME FOR TWO-PARAMETER SINGULARLY PERTURBED PARTIAL DIFFERENTIAL EQUATIONS

  • Zahra, W.K.;El-Azab, M.S.;Mhlawy, Ashraf M. El
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.185-201
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    • 2014
  • In this paper, we construct a numerical method to solve singularly perturbed one-dimensional parabolic convection-diffusion problems. We use Euler method with uniform step size for temporal discretization and exponential-spline scheme on spatial uniform mesh of Shishkin type for full discretization. We show that the resulting method is uniformly convergent with respect to diffusion parameter. An extensive amount of analysis has been carried out to prove the uniform convergence with respect to the singular perturbation parameter. The obtained numerical results show that the method is efficient, stable and reliable for solving convection-diffusion problem accurately even involving diffusion parameter.

Hybrid navigation parameter estimation from aerial image sequence (항공영상을 이용한 하이브리드 영상 항법 변수 추출)

  • 심동규;정상용;이도형;박래홍;김린철;이상욱
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.2
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    • pp.146-156
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    • 1998
  • Thispapr proposes hybrid navigation parameter estimation using sequential aerial images. The proposed navigation parameter estimation system is composed of two parts: relative position estimation and absolute position estimation. the relative position estimation recursively computes the current velocity and absolute position estimation. The relative position estimation recursively computes the current velocity and position of an aircraft by accumulating navigation parameters extracted from two succesive aerial images. Simple accumulation of parameter values decreases reliability of the extracted parameters as an aircraft goes on navigating. therefore absolute position estimation is required to compensate for position error generated in the relative position step. The absolute position estimation algorithm combining image matching and digital elevation model(DEM) matching is presented. Computer simulation with real aerial image sequences shows the efficiency of the proposed hybrial algorithm.

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OPTIMAL FORMATION TRAJECTORY-PLANNING USING PARAMETER OPTIMIZATION TECHNIQUE

  • Lim, Hyung-Chul;Bang, Hyo-Choong;Park, Kwan-Dong;Lee, Woo-Kyoung
    • Journal of Astronomy and Space Sciences
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    • v.21 no.3
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    • pp.209-220
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    • 2004
  • Some methods have been presented to get optimal formation trajectories in the step of configuration or reconfiguration, which subject to constraints of collision avoidance and final configuration. In this study, a method for optimal formation trajectory-planning is introduced in view of fuel/time minimization using parameter optimization technique which has not been applied to optimal trajectory-planning for satellite formation flying. New constraints of nonlinear equality are derived for final configuration and constraints of nonlinear inequality are used for collision avoidance. The final configuration constraints are that three or more satellites should be placed in an equilateral polygon of the circular horizontal plane orbit. Several examples are given to get optimal trajectories based on the parameter optimization problem which subjects to constraints of collision avoidance and final configuration. They show that the introduced method for trajectory-planning is well suited to trajectory design problems of formation flying missions.

Indirect Adaptive Sliding Mode Control Using Parameter Estimation of Hopfield Network (Hopfield 신경망의 파라미터 추정을 이용한 간접 적응 가변구조제어)

  • Ham, Jae-Hoon;Park, Tae-Geon;Lee, Kee-Sang
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1037-1041
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    • 1996
  • Input-output linearization technique in nonlinear control does not guarantee the robustness in the presence of parameter uncertainty or unmodeled dynamics, etc. However, it has been used as an important preliminary step in achieving additional control objectives, for instance, robustness to parameter uncertainty and disturbance attenuation. An indirect adaptive control scheme based on input-output linearization is proposed in this paper. The scheme consists of a Hopfield network for process parameter identification and an adaptive sliding mode controller based on input-output linearization, which steers the system response into a desired configuration. A numerical example is presented for the trajectory tracking of uncertain nonlinear dynamic systems with slowly time-varying parameters.

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Study for Calculation of BLDC Motor Parameter (BLDC 전동기 파라메터 산정에 관한 연구)

  • Han, Kyoung-Hee;Baek, Soo-Hyun;Kim, Young;Yoon, Shin-Yong;Kim, Cherl-Jin
    • Proceedings of the KIEE Conference
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    • 2001.10a
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    • pp.134-136
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    • 2001
  • In this paper, using equivalent circuit of BLDC motor in the 30W class, process of modeling the BLDC motor and calculating the parameter is shown. Through run-down-test and measuring back EMF, torque, speed and ampere, parameter that transfer function requires was gotten. In this result, for step response of BLDC motor, comparing the actual result obtained by circuit experiment with the simulation result obtained by substituting this parameter into the transfer function, it was established that process calculating parameters in this study is proper.

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A new algorithm for SIP parameter estimation from multi-frequency IP data: preliminary results (다중 주파수 IP 자료를 이용한 SIP 변수 추정)

  • Son, Jeong-Sul;Kim, Jung-Ho;Yi, Myeong-Jong
    • Geophysics and Geophysical Exploration
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    • v.10 no.1
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    • pp.60-68
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    • 2007
  • Conventional analysis of spectral induced polarization (SIP) data consists of measuring impedances over a range of frequencies, followed by spectral analysis to estimate spectral parameters. For the quantitative and accurate estimation of subsurface SIP parameter distribution, however, a sophisticated and stable inversion technique is required. In this study, we have developed a two-step inversion approach to obtain the two-dimensional distribution of SIP parameters. In the first inversion step, all the SIP data measured over a range of frequencies are simultaneously inverted, adopting cross regularisation of model complex resistivities at each frequency. The cross regularisation makes it possible to enhance the noise characteristics of the inversion by imposing a strong assumption, that complex resistivities should show similar characteristics over a range of frequencies. In numerical experiments, we could verify that our inversion approach successfully reduced inversion artefacts. As a second step, we have also developed an inversion algorithm to obtain SIP parameters based on the Cole-Cole model, in which frequency-dependent complex resistivities from the first step are inverted to obtain a two-dimensional distribution of SIP parameters. In numerical tests, the SIP parameter images showed a fairly good match with the exact model, which suggests that SIP imaging can provide a very useful subsurface image to complement resistivity.

Characterizations of Two-step Matrix Application Procedures for Imaging Mass Spectrometry

  • Shimma, Shuichi
    • Mass Spectrometry Letters
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    • v.6 no.1
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    • pp.21-25
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    • 2015
  • In this paper, I describe the importance of matrix spraying conditions in imaging mass spectrometry (IMS) to obtain successful imaging results. My developed matrix application methodology, which is a "two-step matrix application" sequentially combined with matrix sublimation and spraying matrix solution can provide high reproducibility and high ion yield compared with a conventional direct spraying method. However, insufficient IMS results were obtained occasionally despite the two-step method. Therefore, I wanted to characterize the methodology to continuously provide high quality data. According to my results, the sublimation time was not a strict parameter, and the most important step was the first spraying condition. This means that the extraction conditions from the tissue section and co-crystallization of the matrix were the most important factors.

A New Transition Criterion for Stratified and Nonstratified Flows in Pipes

  • Sung, Chang-Kyung;Chun, Moon-Hyun
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05b
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    • pp.219-226
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    • 1996
  • A two-step approach has been used to obtain a new transition criterion for the stratified and nonstratified flow in horizontal pipe: (1) In the first step, a more general expression than the existing models for the flow transition criterion has been derived from the analysis of singular points and neutral stability conditions, or the parallel lines conditions of the transient one-dimensional two- phase flow equations of two-fluid model. (2) In the second step, introducing simplifications and incorporating a parameter into the general expression obtained in the first step to satisfy a number of physical conditions a priori specified, a new simple flow transition criterion for horizontal pipes has been derived. Comparison between results predicted by the present theory with the experimental data and theories in the pipe flow conditions, show good agreement.

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A Study on Mixed Convection Heat Transfer in Duct Flow behind a Backward-Facing Step by Using Schlieren Interferometer (쉴리렌 간섭계에 의한 사각덕트내 후향계단후 유동에서의 혼합대류 전열에 관한 연구)

  • Baek, B.J.;Pak, B.C.;Kim, J.T.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.6 no.1
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    • pp.1-10
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    • 1994
  • The flow and heat transfer characteristics behind a backward facing step located in a vertical channel has been studied. In this study, the numerical prediction has been performed by solving the Navier-Stokes equation and energy equation simultaneously with the SIMPLE algorithm embedied in TEACH code. Local heat flux was measured by using Schlieren Interferometer. The flow visualization was performed using the cylindrical lens and the laser beam that is scattered by the supplied glycerine particles. The velocity and temperature distributions, recirculation region, reattachment length, and local heat flux are obtained under the various parameters to investigate the buoyancy effect on the flow and heat transfer characteristics behind the step.

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Improvement of Transient Step Response Using Feedforward Compensator in Nonminimum Phase Systems

  • Kwon, Byung-Moon;Ryu, Hee-Seob;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.3
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    • pp.152-158
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    • 2001
  • This paper proposes a simple feedforward compensator in order to decrease the amount of undershoots and overshoots on the step response in nonminimum phase systems. The compensator makes the step type input be a ramp input with saturation for 0$\leq$t<${\alpha}$. It is shown in this paper that the compensated system has small amount of undershoot and overshoot at the price of rise time compared to the system without compensator. Also, provided the system is properly stable, the influence of the design parameter ${\alpha}$ on the step response of the nonminimum phase system is investigated in the case of Type A, and Type B undershoot, which gives a guideline for the compensator design.

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