• Title/Summary/Keyword: 자동 미분

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Multi-Level and Multi-Objective Optimization of Framed Structures Using Automatic Differentiation (자동미분을 이용한 뼈대구조의 다단계 다목적 최적설계)

  • Cho, Hyo-Nam;Min, Dae-Hong;Lee, Kwang-Min;Kim, Hoan-Kee
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.177-186
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    • 2000
  • An improved multi-level(IML) optimization algorithm using automatic differentiation (AD) for multi-objective optimum design of framed structures is proposed in this paper. In order to optimize the steel frames under seismic load, two main objective functions need to be considered for minimizing the structural weight and maximizing the strain energy. For the efficiency of the proposed algorithm, multi-level optimization techniques using decomposition method that separately utilizes both system-level and element-level optimizations and an artificial constraint deletion technique are incorporated in the algorithm. And also to save the numerical efforts, an efficient reanalysis technique through approximated structural responses such as moments, frequencies, and strain energy with respect to intermediate variables is proposed in the paper. Sensitivity analysis of dynamic structural response is executed by AD that is a powerful technique for computing complex or implicit derivatives accurately and efficiently with minimal human effort. The efficiency and robustness of the IML algorithm, compared with a plain multi-level (PML) algorithm, is successfully demonstrated in the numerical examples.

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전산에 의한 설계

  • 김정웅
    • Journal of the KSME
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    • v.20 no.1
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    • pp.64-66
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    • 1980
  • 전자업계에서는 그동안 LSI(Large Scale Integrated Circuit), Microprocessor등의 괄목한 개발로 각종 생산공장, 의료기구등의 측정, 가공, 제어 및 계산의 자동화를 가속 시켜주고 있으며 이러한 컴퓨터기능의 범용화로 우리 생활면에도 많은 변화를 가져오고 있다. 계산기의 대중보급화로 계산자(Slide Rule)가 없어지고 조그마한 계산기가 프로그램의 능력을 가짐으로서 통계는 물론, 수학에서는 편미분 방정식 까지도 쉽게 처리해 주며, 기계분야에서는 Beam의 계산, 사절기 구(Four Bar Mechanism)등도 쉽게 풀어주고 있다. 또한 토목분야 에서는 과거 숙달된 측정기 사에 의존하던 지형의 정밀측정이 측정의 자동화로 측정치가 정확하게 읽혀지고 있지만, 반면 아쉬운 점이라면 정밀측정사에 의존하던 정밀도등이 장비의 정밀도에 의존해 가는 경향도 무시 될 수 없겠다. 또한 안과에서는 과거에 시력측정표를 일정거리에 떨어져서 측정하던 시력검사가 이제는 기계를 안구에 대고 자동측정 하게 된 점 등 다 나열 할 수 없게된 현실이다. 그러면 우리 기술인 주변에는 어떠한 면들이 바뀌었는가, 우선 생산 Line의 자동화, 설계자체도 컴퓨터를 이용하는 많은 여건상의 변화가 일어나고 있다. 여기서 선진국등의 현황과 더불어 우리의 여건 진로 방향등을 잠시 고찰해 보고자 한다.

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Controller Auto-tuning Scheme for Improving Feedback System Performance in Frequency Domain (주파수역에서의 피드백시스템의 성능향상을 위한 제어기 Atuo-tuning 기법)

  • 정유철;이건복
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.3
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    • pp.26-30
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    • 2001
  • Controller refinement scheme to improve the performance of a conventional system automatically in frequency domain is proposed. The controller automatic tuning method features using experimental frequency responses of the conventional closed-loop system, the conventional controller, and the improved closed-loop system, instead of poorly modeled plant due to non-linearities and disturbances. The improved closed-loop system characteristics is automatically acquired by the con-ventional closed-loop system characteristics and the proposed performance index in system bandwidth. And the proper controller is realized by least squares approximation in frequency domain. To testify the usefulness of the approach, the path tracking control of robot arm is performed. Experimental results and analytic results are well-matched.

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A Study on Automatic Seam Tracking System Using Electro-Magnetic Sensor for Sheet Metal Arc Welding of Butt Joints (박판 맞대기 용접에서 전자기식 센서를 이용한 용접선 자동 추적 시스템에 관한 연구)

  • 유병희;김재웅
    • Journal of Welding and Joining
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    • v.15 no.1
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    • pp.81-91
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    • 1997
  • In this study, a magnetic sensor to make use of eddy current was developed to detect the weld seam of butt joint in the sheet metal arc welding. This system consist of the sensor device for detecting the weld line, the servo control device for driving the weld torch movement and the control unit. A signal processing was applied to smooth the output signal of the sensor. The weld joint was determined by using a 1st order differential method. To improve tracking accuracy of the system, moving average method which has an effect of proportional and weighted integral control was applied to a series of the weld joint positions obtained above. The weld line for tracking was generated by using data regeneration algorithm. Based on these results, each servo motor was controlled by pulse generator. From experimental results, it was revealed that this system has excellent detecting ability for weld line and seam tracking ability.

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Controller Auto-tuning Scheme using System Monitoring inFrequency Domain (주파수역에서 시스템 감시를 이용한 제어기 Auto-tuning기법)

  • 정유철;이건복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.136-139
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    • 2000
  • Controller refinement scheme to improve the performance of a conventional system automatically in frequency domain is proposed. The controller automatic tuning method features using experimental frequency responses of the conventional closed-loop system, the conventional controller, and the improved closed-Imp system; instead of poorly modeled plant due to non-linearities and disturbances. The improved closed-loop system characteristics is automatically acquired by the conventional closed-loop system characteristics and the proposed performance index in system bandwidth. And the proper controller is realized by least squares approximation in frequency domain. To testify the usefulness of the approach, experimental results of robot path-tracking control applied with various controllers is used, and then is analyzed with respect to a equivalent proportional controller. Experimental results and analytic results are well-matched.

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A Study on the Pattern Segmentation and Classification in Specially Documentated Imaged (제한된 문서 영상에서 패턴 분절과 구분 처리에 관한 연구)

  • 옥철호;허도근;진용옥
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.6
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    • pp.663-674
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    • 1989
  • In order to design the automatic processing system of image document, the pattern segmentation of image document and classification methods are presented. The contour extraction using first order differential operator of Gauassian distribution fucntions, the image segmentation using the chain code, and the pattern classication using the second order moments and two=dimensional Rf distance(in transform domain) are implemented. The resuts applied in specially documantated image shows to classify the characters, fingerprints, seals etc well. And the utility of the used algorithms is verified.

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Improved Concurrent Subspace Optimization Using Automatic Differentiation (자동미분을 이용한 분리시스템동시최적화기법의 개선)

  • 이종수;박창규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.359-369
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    • 1999
  • The paper describes the study of concurrent subspace optimization(CSSO) for coupled multidisciplinary design optimization (MDO) techniques in mechanical systems. This method is a solution to large scale coupled multidisciplinary system, wherein the original problem is decomposed into a set of smaller, more tractable subproblems. Key elements in CSSO are consisted of global sensitivity equation(GSE), subspace optimization (SSO), optimum sensitivity analysis(OSA), and coordination optimization problem(COP) so as to inquiry valanced design solutions finally, Automatic differentiation has an ability to provide a robust sensitivity solution, and have shown the numerical numerical effectiveness over finite difference schemes wherein the perturbed step size in design variable is required. The present paper will develop the automatic differentiation based concurrent subspace optimization(AD-CSSO) in MDO. An automatic differentiation tool in FORTRAN(ADIFOR) will be employed to evaluate sensitivities. The use of exact function derivatives in GSE, OSA and COP makes Possible to enhance the numerical accuracy during the iterative design process. The paper discusses how much influence on final optimal design compared with traditional all-in-one approach, finite difference based CSSO and AD-CSSO applying coupled design variables.

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Finding locating checker board using corner detection and interpolation (교점의 추정 및 보간을 이용한 체커보드 검출)

  • Oh, Sang-yup;Cho, Nam-ik
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2016.11a
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    • pp.165-168
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    • 2016
  • 카메라 캘리브레이션은 실제 세상인 3차원의 좌표와 카메라가 만든 영상의 2차원 좌표 사이에서 수학적 관계를 알기 위해서 필요하다. 보통 체커보드의 교점을 이용하여 2차원의 좌표를 정확하게 찾는데 사용하며, 이는 카메라 캘리브레이션 계산으로 응용된다. 따라서 체커보드의 교점을 정확하게 찾아야만 카메라 캘리브레이션이 정상적인 성능을 낼 수 있다. 현존하는 체커보드 검출 방법은 입력 인수를 많이 필요로 하거나 정확도가 낮아 체커보드의 교점을 정확히 입력하지 못하면 좋지 않은 결과가 나타난다. 따라서 체커보드를 자동으로 검출하여 카메라 캘리브레이션 하는 방법은 아직 신뢰도가 낮은 편이다. 본 논문에서는 보다 안정적인 카메라 캘리브레이션을 위해서 체커 보드의 검출 성능을 높이고자 한다. 주위 픽셀들간의 미분 값을 기준삼아 검출된 교점들을 이용하여 체크 모양의 직선을 추측한다. 이 직선을 이용하면 장애물이 있거나 노이즈가 있어서 검출하기 어려운 교점들이 있는 경우에도 교점 보간 (point interpolation) 방법을 사용하여 나머지 교점들을 찾을 수 있다. 보간 과정을 통해서 검출에 방해가 되는 요소들이 있는 상황에서 체커 보드 교점 검출의 성능을 높이도록 하였다.

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Discrete-Time Controller Design using Identification of Feedback System in Frequency Domain (주파수역 피드백 시스템 인식을 이용한 이산시간 제어기 설계)

  • Jung, Yu-Chul;Shim, Young-Bok;Lee, Gun-Bok
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.99-104
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    • 2001
  • Discrete-time controller design is proposed using feedback system identification in frequency domain. System Stability imposed by a new controller is checked in the function of a conventional closed-loop system, instead of a poorly modeled plant due to non-linearity and disturbance as well as unstable components, etc. The stability of the system is evaluated in view of Popov criterion. All the equations are formulated in the framework of the discrete-time system. Simulation results are shown on the plant with input saturation components, DC disturbance and a pure integration.

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Continuous-Time Controller Design using Identification of Feedback System in Frequency Domain (주파수역 피드백시스템인식을 이용한 연속시간 제어기 설계)

  • Yang, Ho-Suk;Jung, Yu-Chul;Lee, Gun-Bok
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.664-669
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    • 2001
  • Continuous-time controller design is proposed using feedback system identification in frequency domain. System stability imposed by a new controller is checked in the function of a conventional closed-loop system, instead of a poorly modeled plant due to non-linearity and disturbance as well as unstable components, etc. The stability of the system is evaluated in view of Nyquist stability. All the equations are formulated in the framework of the discrete-time system. Simulation results are shown on the plant with input saturation and DC disturbance.

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