• Title/Summary/Keyword: Second order parameter

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PARAMETER-UNIFORM NUMERICAL METHOD FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH MIXED TYPE BOUNDARY CONDITIONS

  • Tamilselvan, A.;Ramanujam, N.;Priyadharshini, R. Mythili;Valanarasu, T.
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.109-130
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    • 2010
  • In this paper, a numerical method for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with the mixed type boundary conditions is presented. Parameter-uniform error bounds for the numerical solution and also to numerical derivative are established. Numerical results are provided to illustrate the theoretical results.

The Impact of the Organizational Characteristics, IS Basis, IS Planning Capability and IS Quality on the CRM Performance (조직특성, IS 기반, IS 기획능력 및 IS 품질이 CRM 성과에 미치는 영향)

  • Lee, Seung-Myoung;Kim, Eun-Hong
    • Journal of Information Technology Services
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    • v.4 no.1
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    • pp.71-105
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    • 2005
  • The purpose of this study was to test various variables that affect CRM performance in order to evaluate CRM performance. The results of the proposed research hypotheses are as follows; First, the IS based factors perform more important roles on system and information quality compared to organizational factors. Second, the variables of IS and planning capability playa role as a parameter. Third, among organizational factors, non-structural factors such as degrees of acceptance of business transition, support of CEO, and customer-orientation perform more important roles on CRM. Fourth, IS based factors have bigger Impact on information quality than system quality. Fifth, it was proven that IS quality, proposed as a parameter and as a dependant variable, and CRM have significant relations.

Parameter Identification and Simulation of Light Aircraft Based on Flight Test (비행시험을 통한 경항공기의 매개변수 확정과 시뮬레이션)

  • 황명신;이정훈
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.2
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    • pp.237-247
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    • 1999
  • Flight parameters of a light aircraft in normal category named ChangGong-91 we identified from flight tests. Modified Maximum Likelihood Estimation (MMLE) is used to produce aerodynamic coefficients, stability and control derivatives. A Flight Training Device (FTD) has been developed based on the identified flight parameters. Flat earth, rigid body, and standard atmosphere are assumed in the FTD model. Euler angles are adapted for rotational state variables to reduce computational load. Variations in flight Mach number and Reynolds number are assumed to be negligible. Body, stability and inertial axes allow 6 second-order linear differential equations for translational and rotational motions. The equations of motion are integrated with respect to time, resulting in good agreements with flight tests.

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A Globally Convergent Pole Placement Indirect Adaptive Controller using Parameter Correction (파라미터 교정법을 이용한 대국적인 수럼성을 갖는 간접적응제어기)

  • 김홍필;양해원
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.11
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    • pp.913-921
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    • 1989
  • This paper deals with a pole placement indirect adaptive control algorithm for discrete-time linear plants with arbitrary zeros. The resulting closed-loop control system is shown to be globally stable subject to the assumptions that an external input is persistently exciting and a lower bound on the magnitude of the Sylvester resultant of the plant numerator and denominator polynomials is known. The problem of controllability of the plant estimate in indirect adaptive control is handled by using an extended parameter correction. The validity of the proposed control algorithm is assured through simulation for a second-order plant.

HELICOIDAL MINIMAL SURFACES IN A CONFORMALLY FLAT 3-SPACE

  • Araujo, Kellcio Oliveira;Cui, Ningwei;Pina, Romildo da Silva
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.531-540
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    • 2016
  • In this work, we introduce the complete Riemannian manifold $\mathbb{F}_3$ which is a three-dimensional real vector space endowed with a conformally flat metric that is a solution of the Einstein equation. We obtain a second order nonlinear ordinary differential equation that characterizes the helicoidal minimal surfaces in $\mathbb{F}_3$. We show that the helicoid is a complete minimal surface in $\mathbb{F}_3$. Moreover we obtain a local solution of this differential equation which is a two-parameter family of functions ${\lambda}_h,K_2$ explicitly given by an integral and defined on an open interval. Consequently, we show that the helicoidal motion applied on the curve defined from ${\lambda}_h,K_2$ gives a two-parameter family of helicoidal minimal surfaces in $\mathbb{F}_3$.

Precise Estimation of Nonlinear Parameter in Pulse-Like Ultrasonic Signal (펄스형 초음파 신호에서 비선형 파라미터의 정밀 추정)

  • Ha, Job;Jhang, Kyung-Young;Sasaki, Kimio;Tanaka, Hiroaki
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.2
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    • pp.77-83
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    • 2006
  • Ultrasonic nonlinearity has been considered as a solution for the detection of microcracks or interfacial delamination in a layered structure. The distinguished phenomenon in nonlinear ultrasonics is the generation of higher-order harmonic waves during the propagation. Therefore, in order to quantify the nonlinearity, the conventional method measures a parameter defined as the amplitude ratio of a second-order harmonic component and a fundamental frequency component included in the propagated ultrasonic wave signal. However, its application In field inspection is not easy at the present stage because no standard methodology has yet been made to accurately estimate this parameter. Thus, the aim of this paper is to propose an advanced signal processing technique for the precise estimation of a nonlinear ultrasonic parameter, which is based on power spectral and bispectral analysis. The method of estimating power spectrum and bispectrum of the pulse-like ultrasonic wave signal used in the commercial SAM (scanning acoustic microscopy) equipment is especially considered in this study The usefulness of the proposed method Is confirmed by experiments for a Newton ring with a continuous air gap between two glasses and a real semiconductor sample with local delaminations. The results show that the nonlinear parameter obtained tv the proposed method had a good correlation with the delamination.

Detonation Wave Propagation Through a T-type Branch Tube in Combustion Wave Rocket Igniter (연소파 로켓 점화기의 T형 분기관내 데토네이션파 전파)

  • ;Vigor Yang
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.05a
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    • pp.221-224
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    • 2003
  • A numerical study is carried out for the detonation wave propagation through a T-branch. The T-branch is a crucial part of the combustion wave igniter, a novel concept of rocket ignition system aimed for the simultaneous ignition of multiple combustion chambers by delivering detonation waves. Euler equation and induction parameter equation are used as governing equations with a reaction term modeled from the chemical kinetics database obtained from a detailed chemistry mechanism. Second-order accurate implicit time integration and third-order space accurate TVD algorithm were used for solution of the coupled equations. Over two-million grid points enabled the capture of the dynamics of the detonation wave propagation including the degeneration and re-initiation phenomena, and some of the design factors were be obtained for the CWI flame tubes.

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Application of LQR for Phase-Locked Loop Control Systems

  • Khumma, Somyos;Benjanarasuth, Taworn;Isarakorn, Don;Ngamwiwit, Jongkol;Wanchana, Somsak;Komine, Noriyuki
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.520-523
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    • 2004
  • A phase-locked loop control system designed by using the linear quadratic regulator approach is presented in this paper. The system thus designed is optimal system when system is in locked state and the parameter value of loop filter which is an active PI filter can be obtained easily. By considering the structure of loop filter of phase-locked loop is included in the process to be controlled, a type 1 servo system can be constructed when voltage control oscillator is considered as an integrator. The integral gain of the proposed system obtained by linear quadratic regulator approach can be used as an optimal value to design the parameter of loop filter. The implemented result in controlling the second-order lag pressure process by using the proposed scheme show that the system response is fast with no overshoot and no steady-state error. Furthermore, the experimental results are also shown in term of output disturbance effect rejection, tracking and process parameter changed.

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The Position Control of DC Motor using the System Modeling based on the DFT (DFT 기반의 시스템 모델링을 이용한 DC Motor의 위치제어)

  • Ahn, Hyun-Jin;Shim, Kwan-Shik;Lim, Young-Cheol;Nam, Hae-Kon;Kim, Gwang-Heon;Kim, Eui-Sun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.4
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    • pp.542-548
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    • 2012
  • This study presents a new method of system modeling by using the Discrete Fourier Transform for the position control system of DC Motor. And the proposed method is similar to the method of System Identification by analysis of correlation of the measured input-output data. The measured output signals are transformed to the frequency domain using DFT. The Fourier Spectrum of the transformed signals is used for knowing to the feature of having an important effect on the system. And transfer function of the second order system is estimated by the dominant parameter which is computed in the magnitude and the phase of Fourier spectrum of the transformed signals. In addition, the output signal includes the unique feature of system. So, although the basic parameter of the system is unknown for us, the proposed method has an advantage to system modeling. And the controller is easily designed by the estimated transfer function. Thus, in this paper, the proposed method is applied to the system modeling for the position control system of DC Motor and the PD-controller is designed by the estimated model. And the efficiency and the reliability of the proposed method are verified by the experimental result.

Reclaimer Control: Modeling , Parameter Estimation, and a Robust Smith Predictor Design (원료채집기의 제어: 모델링, 계수추정, 견실한 스미스 예측기의 설계)

  • Kim, Sung-Hoon;Hong, Keum-Shik;Kang, Dong-Hunn
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.8
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    • pp.923-931
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    • 1999
  • In this paper, a modeling and a robust time-delay control for the reclaimer are investigated. Supplying the same amount of a raw material throughout the reclamation process from the raw yard to a sinter plant is important to keep the quality of the molten steel uniform in blast furnaces. As the actual parameter values of the reclaimer are not available, the boom rotational dynamics are modeled as a second order differential equation with unknown coefficients. The unknown parameters in the nominal model are estimated using a recursive estimation method. Another important factor in the control design of the reclaimer is the large time-delay in output measurement. Assuming a multiplicative uncertainty, that accounts for both the unstructured uncertainty neglected in the modeling and the structured uncertainty contained in the parameter estimation, a robust Smith predictor is designed. A robust stability criterion for the multiplicative uncertainty is also derived. Following the work of Goodwin et al. [4], a quantifying procedure of the multiplicative uncertainty bound, through experiments , is described. Experimental and simulation results are provided.

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