• Title/Summary/Keyword: Singular value

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Conservative Quadratic RSM combined with Incomplete Small Composite Design and Conservative Least Squares Fitting

  • Kim, Min-Soo;Heo, Seung-Jin
    • Journal of Mechanical Science and Technology
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    • v.17 no.5
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    • pp.698-707
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    • 2003
  • A new quadratic response surface modeling method is presented. In this method, the incomplete small composite design (ISCD) is newly proposed to .educe the number of experimental runs than that of the SCD. Unlike the SCD, the proposed ISCD always gives a unique design assessed on the number of factors, although it may induce the rank-deficiency in the normal equation. Thus, the singular value decomposition (SVD) is employed to solve the normal equation. Then, the duality theory is used to newly develop the conservative least squares fitting (CONFIT) method. This can directly control the ever- or the under-estimation behavior of the approximate functions. Finally, the performance of CONFIT is numerically shown by comparing its'conservativeness with that of conventional fitting method. Also, optimizing one practical design problem numerically shows the effectiveness of the sequential approximate optimization (SAO) combined with the proposed ISCD and CONFIT.

System Identification of Flexible beam Using Eigensystem Realization Algorithm (Eigensystem Realization Algorithm을 이용한 유연한 빔의 운동방정식 규명)

  • Lee, In-Sung;Lee, Jae-Won;Lee, Soo-Cheol
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.566-572
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    • 2000
  • The System identification is the process of developing or improving a mathematical model of a physical system using experimental data of the input, output and noise relationship. The field of system identification has been an important discipline within the automatic control area. The reason is the requirement that mathematical models having a specified accuracy must be used to apply modem control methods. In this paper, it is confirmed that we can obtain transfer function of flexible beam that is expressed in the forms of identified state-space system matrix A, B, C, D and identified observer gain G using Eigensystem Realization Algorithm including singular value decomposition. And these matrices can be applied to the automatic control. In addition to, it is also confirmed that transfer function can express a system using identified observer gain G, in spite of a noisy data or a periodic disturbance.

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Dynamics Analysis and Control of Five Bar Parallel Robot (5-bar 병렬 로봇의 동역학 해석 및 제어)

  • Chung, Young-Hoon;Lee, Jae-Won;Joo, Hae-Ho
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.529-535
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    • 2000
  • This paper propose the method to obtain the inverse kinematics and the Jacobian of the 5-bar parallel robot and apply the nonlinear controller to the 5-bar parallel robot with the dynamic analyses using the Jacobian of the Passive joints with respect to the active ones and singular value decomposition(SVD). It also experimentally shows that we can do high-speed and accuracy tasks using nonlinear control method. And it explains the relation between the property of the position control and manipulability using a new performance index.

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3D localization of bottom-mounted receivers in multipath environment (다중경로 환경에서의 해저면 설치 수신기 3차원 위치 추정)

  • Oh Taekhwan;Oh Suntaek;Park Joung-Soo;Na Jungyul
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.353-356
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    • 2001
  • 본 논문은 수중 음향을 이용하여 다중경로(Multipath) 환경에서의 해저면 설치 수신기의 3차원 위치 추정 알고리즘을 제안한다. 해저면 설치 수신기의 위치 추정을 위해 기준 음원의 위치와 음원과 수신기 사이의 수평거리를 사용하며, 수평거리 산출 시 다중경로의 영향을 고려하기 위해 음선 이론 모델을 사용하여 음원과 수신기 사이의 수평거리를 추정한다. 또한 특이치 분해법(Singular Value Decomposition estimator; SVD)을 사용하여 설정된 3차원 위치 추정 문제의 최적해를 추정하며, 이를 사용하여 동해 해상 실험 자료를 분석한다. 논문의 연구 결과 제안된 해저면 설치 3원 위치 추정 알고리즘은 다중경로 환경에서도 좋은 성능을 나타냄을 알 수 있다.

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THE PERIODIC JACOBI MATRIX PROCRUSTES PROBLEM

  • Li, Jiao-Fen;Hu, Xi-Yan
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.569-582
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    • 2010
  • The following "Periodic Jacobi Procrustes" problem is studied: find the Periodic Jacobi matrix X which minimizes the Frobenius (or Euclidean) norm of AX - B, with A and B as given rectangular matrices. The class of Procrustes problems has many application in the biological, physical and social sciences just as in the investigation of elastic structures. The different problems are obtained varying the structure of the matrices belonging to the feasible set. Higham has solved the orthogonal, the symmetric and the positive definite cases. Andersson and Elfving have studied the symmetric positive semidefinite case and the (symmetric) elementwise nonnegative case. In this contribution, we extend and develop these research, however, in a relatively simple way. Numerical difficulties are discussed and illustrated by examples.

Chemical Mechanism Reduction and Validation of Methyl Butanoate by Automatic Reduction Procedure (Methyl Butanoate의 상세 화학 반응 메커니즘 자동 축소화를 통한 기초 반응 메커니즘의 생성 및 검증)

  • Lee, Youngjae;Huh, Kang Y.
    • Journal of the Korean Society of Combustion
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    • v.21 no.3
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    • pp.16-23
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    • 2016
  • In this study, skeletal mechanisms are produced by directed relation graph with specified threshold value and sensitivity analysis based on species database from the directed relation graph. Skeletal mechanism is optimized through the elimination of unimportant reaction steps by computational singular perturbation importance index. Reduction is performed for the detailed mechanism of methyl butanoate consisting of 264 species and 1219 elementary reactions. Validation shows acceptable agreement for auto-ignition delays in wide parametric ranges of pressure, temperature and equivalence ratio. Methyl butanoate has been proposed as a simple biodiesel surrogate although the alkyl chain consists of four carbon atoms. The resulting surrogate mechanism for n-heptane and MB consists of 76 species and 226 reaction steps including those for NOx.

Robust Control of a Glass-Fiber Reinforced Composite Beam using $\mu$-Synthesis Algorithm

  • Yun, Yeo-Hung;Lee, Young-Choon;Kwon, Tae-Kyu;Yu, Kee-Ho;Lee, Seong-Cheol
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.498-498
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    • 2000
  • A study on the robust control of a composite beam with a distributed PVDF sensor and piezo-ceramic actuator is presented in this paper. 1st and 2nd natural frequencies are considered in the modeling, because robust control theory which has robustness to structured uncertainty is adopted to suppress the vibration. If the controllers designed by H$_{\infty}$ theory do not satisfy control performance, it is improved by $\mu$-synthesis method with D-K iteration so that the $\mu$-controller based on the structured singular value satisfies the nominal performance and robust performance. Simulation and experiment were carried out with the designed controller and the verification of the robust control properties was presented by results.

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SAR Measurements of Surface Displacements at Augustine Volcano, Alaska, Associated with the 1986 and 2006 Eruption

  • Lee, C.W.;Jung, H.S.;Won, J.S.;Lu, Z.;Kwoun, O.I.
    • Proceedings of the KSRS Conference
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    • 2007.10a
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    • pp.401-404
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    • 2007
  • Augustine volcano is an active stratovolcano located at the southwest of Anchorage, Alaska. Augustine volcano had experienced seven significantly explosive eruptions in 1812, 1883, 1908, 1935, 1963, 1976, and 1986, and a minor eruption in January 2006. We measured the surface displacements of the volcano by radar interferometry and GPS before and after the eruption in 2006. ERS-1/2, RADARSAT-1 and ENVISAT SAR data were used for the study. Multiple interferograms were stacked to reduce artifacts caused by different atmospheric conditions. Least square (LS) method was used to reduce atmospheric artifacts. Singular value decomposition (SVD) method was applied for retrieval of time sequential deformations. The observed surface displacements from satellite radar interferometry were compared with GPS data. Satellite radar interferometry helps to understand the surface displacements system of Augustine volcano.

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Estimation of Defect Position on the Pipe Line by Inverse Problem (역 문제에 의한 파이프의 결함위치 평가)

  • Park, Sung-Oan
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.20 no.2
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    • pp.139-144
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    • 2011
  • This paper presents a boundary element application to determine the optimal impressed current densities at defect position on the pipe line. In this protection paint, enough current must be impressed to lower the potential distribution on the metal surface to the critical values. The optimal impressed current densities are determined in order to minimize the power supply for protection. This inverse problem was formulated by employing the boundary element method. Since the system of linear equations obtained was ill-conditioned, including singular value decomposition, conjugate gradient method were applied and the accuracies of these estimation. Several numerical examples are presented to demonstrate the practical applicability of the proposed method.

Research on methods to extract standard head-related transfer function (표준 머리전달함수 추출 기법에 관한 연구)

  • Son, Daehyuk;Park, Youngjin;Jang, Sei-jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.572-574
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    • 2014
  • Researches on three-dimensional multimedia has been performed actively in recent years. Virtual sound technology corresponding to virtual image should be provided to implement 3D multimedia with high quality. Head-related transfer function (HRTF) plays a key role in this research area. HRTFs measured in changing azimuth, elevation, and distance for each and every subject is necessary for ideal solution. However, it is practically impossible to measure all subjects' HRTFs, so various HRTF databases have been built by many researchers. Because HRTF displays quite different aspects from subject to subject, HRTF of dummy head has been used for generic usage. However, mannequin's HRTF showed much worse performance comparing with individual case so this solution should be improved. From previous work, standardization of HRTF based on tensor-singular value decomposition method has been proposed. For effective extraction of standard HRTF, three different decomposition methods are compared in this paper.

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