• 제목/요약/키워드: ill-conditioning

검색결과 48건 처리시간 0.029초

Experiment study of structural random loading identification by the inverse pseudo excitation method

  • Guo, Xing-Lin;Li, Dong-Sheng
    • Structural Engineering and Mechanics
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    • 제18권6호
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    • pp.791-806
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    • 2004
  • The inverse pseudo excitation method is used in the identification of random loadings. For structures subjected to stationary random excitations, the power spectral density matrices of such loadings are identified experimentally. The identification is based on the measured acceleration responses and the structural frequency response functions. Numerical simulation is used in the optimal selection of sensor locations. The proposed method has been successfully applied to the loading identification experiments of three structural models, two uniform steel cantilever beams and a four-story plastic glass frame, subjected to uncorrelated or partially correlated random excitations. The identified loadings agree quite well with actual excitations. It is proved that the proposed method is quite accurate and efficient in addition to its ability to alleviate the ill conditioning of the structural frequency response functions.

비최소 위상 시스템의 역변환 문제에 대한 실험적 고찰 (An experimental study on an inverse problem of a non-minimum phase system)

  • 노경래;이상권
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 2001년도 추계학술발표대회 논문집 제20권 2호
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    • pp.147-150
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    • 2001
  • 본 논문은 비최소 위상을 가지는 시스템에 대한 역변환 문제를 실험적으로 고찰, 연구하였다. 일반적으로 선형적이고 인과적인 시스템의 입$cdot$ 출력관계는 행렬형태로 공식화할 수 있다. 최소위상(minimum phase) 시스템의 시스템행렬은 항상 역행렬이 존재하며 안정적이지만 비최소 위상(non-minimum phase)시스템의 시스템행렬은 근사특이(near-singular)행렬 또는 특이(singular) 행렬이므로 불량조건(ill-conditioning)이 발생하고 역변환이 존재할 수 없다. 비최소 위상 시스템의 역변환 문제는 다른 과정을 포함하지 않고서는 인과적이고 안정적인 역변환 필터를 가질 수 없다. 따라서 역변환 필터의 구현을 위해 SVD(singular value decomposition)를 이용하였다. 비최소 위상 시스템인 경우 시스템행렬은 하나이상의 매우 작은 특이 값을 가지며 이것은 시스템의 위상정보를 가진다. 이 성질을 이용하여 시스템의 근사적인 역변환 필터를 구현하고 비최소 위상을 갖는 외팔보에 대해 실험적으로 검증하였다.

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폐루프 공진 주파수를 이용한 모델 개선법 (Model Updating Using the Closed-loop Natural Frequency)

  • 정훈상;박영진
    • 한국소음진동공학회논문집
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    • 제14권9호
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    • pp.801-810
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    • 2004
  • Parameter modification of a linear finite element model(FEM) based on modal sensitivity matrix is usually performed through an effort to match FEM modal data to experimental ones. However, there are cases where this method can't be applied successfully; lack of reliable modal data and ill-conditioning of the modal sensitivity matrix constitute such cases. In this research, a novel concept of introducing feedback loops to the conventional modal test setup is proposed. This method uses closed-loop natural frequency data for parameter modification to overcome the problems associated with the conventional method based on modal sensitivity matrix. We proposed the whole procedure of parameter modification using the closed-loop natural frequency data including the modal sensitivity modification and controller design method. Proposed controller design method is efficient in changing modes. Numerical simulation of parameter estimation based on time-domain input/output data is provided to demonstrate the estimation performance of the proposed method.

A new algorithm applied in Control-Relevant Discretization of Nonlinear Systems

  • Zhang, Qiang;Zhang, Changlei;Gao, Yu;Chong, Kil-To
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2006년도 하계종합학술대회
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    • pp.905-906
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    • 2006
  • In this paper, we propose an attractive novel numerical int egration method that is largely devoid of ill conditioning and is suitable for any nonlinear problem. Since the method is exact for linear problems, it is especially precise for quasilinear problems, which are frequently encountered in the real world. The method is based on a new approach to the computat ion of a matrix exponential. It does not require excessive computational resources and lends itself to a short and robust piece of software that can be easily inserted into large simulation packages.

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후처리 에러산정을 위한 가상해 도출방법 (Solution Recovery Techniques for Posteriori Error Estimation)

  • Lee, Sang-Ho;Kim, Sang-Hyo
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.47-53
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    • 1996
  • An enhanced solution recovery method for recovering accurate derivatives such as moments, or shears, from finite element solutions for $C^{0}$ beam and plate is presented. In the enhanced method, the square of the residuals in the equilibrium equations is included. Results are compared with those of standard Zienkiewicz-Zhu methods. Numerical examples show that in the global projection, the enhanced technique improves the accuracy of projected solution significantly. In the local projection, the enhanced method circumvents the numerical ill-conditioning which occurs in some meshes, and usually recovers derivatives with better accuracy.y.

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입력관측기의 정량적 성능지표 (II) -정상상태 해석- (A Quantitative Performance Index for an Input Observer (II) - Analysis in Steady-State -)

  • 정종철;이범석;허건수
    • 대한기계학회논문집A
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    • 제26권10호
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    • pp.2067-2072
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    • 2002
  • The closed-loop state and input observer is a pole-placement type observer and estimates unknown state and input variables simultaneously. Pole-placement type observers may have poor performances with respect to modeling error and sensing bias error. The effects of these ill-conditioning factors must be minimized for the robust performance in designing observers. In this paper, the steady-state performance of the closed-loop state and input observer is investigated quantitatively and is represented as the estimation error bounds. The performance indices are selected from these error bounds and are related to the robustness with respect to modeling errors and sensing bias. By considering both transient and steady-state performance, the main performance index is determined as the condition number of the eigenvector matrix based on $L_2$-norm.

이동통신 기지국 직접대기냉각용 에어필터의 성능평가실험 (An Experiment on Performance Evaluation of a Direct Ambient Cooling Air Filter for Wireless Telecommunication Base Transceiver Stations)

  • 여국현;유경훈;차호진;김용우;최동규;이홍규
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2006년도 하계학술발표대회 논문집
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    • pp.436-441
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    • 2006
  • In recent European telecommunication base transceiver stations(BTS) a membrane laminated air filter is reported to replace a heat exchanger in order to cool internal digital units of BTS. The concept of using the air filter is for the direct ambient cooling(DAC) of BTSs without heat loss generally found ill the heat exchanger type BTS. In the present study, a performance evaluation experiment was conducted to investigate the pressure drop characteristics with dust loading and the particle collection efficiency of the air filter for the DAC of BTS.

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이산관측기에 근거한 감지시스템을 위한 정량적 성능지표 (A Quantitative Performance Index for Discrete-time Observer-based Monitoring Systems)

  • 허건수;김상진
    • 한국정밀공학회지
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    • 제12권10호
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    • pp.138-148
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    • 1995
  • While Model-based Monitoring systems based on state observer theory have shown much promise in the laboratory, they have not been widely accepted by industry because, inpractice, these systems often have poor performance with respect to accuracy, band-width, reliability(false alarms), and robustness. In this paper, the linitations of the deterministic discrete-time state observer are investigated quantitatively from the machine monitoring viewpoint. The limitations in the transient and steady-state observer performance are quantified as estimation error bounds from which performance indices are selected. Each index represents the conditioning of the corresponding performance. By utilizing matrix norm theory, an unified main index is determined, that dominates all the indices. This index could from the basis for an observer design methodology that should improve the performance of model-based monitoring systems.

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Neural-based Blind Modeling of Mini-mill ASC Crown

  • Lee, Gang-Hwa;Lee, Dong-Il;Lee, Seung-Joon;Lee, Suk-Gyu;Kim, Shin-Il;Park, Hae-Doo;Park, Seung-Gap
    • 한국지능시스템학회논문지
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    • 제12권6호
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    • pp.577-582
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    • 2002
  • Neural network can be trained to approximate an arbitrary nonlinear function of multivariate data like the mini-mill crown values in Automatic Shape Control. The trained weights of neural network can evaluate or generalize the process data outside the training vectors. Sometimes, the blind modeling of the process data is necessary to compare with the scattered analytical model of mini-mill process in isolated electro-mechanical forms. To come up with a viable model, we propose the blind neural-based range-division domain-clustering piecewise-linear modeling scheme. The basic ideas are: 1) dividing the range of target data, 2) clustering the corresponding input space vectors, 3)training the neural network with clustered prototypes to smooth out the convergence and 4) solving the resulting matrix equations with a pseudo-inverse to alleviate the ill-conditioning problem. The simulation results support the effectiveness of the proposed scheme and it opens a new way to the data analysis technique. By the comparison with the statistical regression, it is evident that the proposed scheme obtains better modeling error uniformity and reduces the magnitudes of errors considerably. Approximatly 10-fold better performance results.

항만 고유 진동 해석을 위한 Helmholtz 방정식의 유한요소 해법 (Finite Element Solution of Helmholtz Equation for Free Harbor Oscillation)

  • 류연선;이병걸
    • 대한토목학회논문집
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    • 제13권1호
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    • pp.47-54
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    • 1993
  • 일반적인 기하학적 경계와 해저 지형을 가진 항만에서 해수 고유 진동 특성의 수치해석을 위하여 유한요소법이 응용되었다. 지배 방정식인 Helmholtz방정식을 일반화된 매트릭스 고유치문제로 변환하는데 표준유한요소과정을 사용하였다. 고유주기와 고유진동모우드의 수치해를 얻기위한 컴퓨터 프로그램이 개발되었고, 고유치의 수치해석과정에서 수치적 특이성을 취급하기 위해 고유치 이동기법이 고안되었으며, 수치적 악조건을 극복하기 위해서는 행렬원소의 축척화가 효과적임을 알았다. 수치예로서 먼저 해석해를 알 수 있는 경우를 해석하여 수치해와 해석해를 비교해 봄으로써 작성된 컴퓨터 프로그램의 유용성을 확인하였고, 일반적인 경계 조건과 임의 수성의 실제 항만에 유한요소 해법을 적용하여 성공적으로 고유진동의 해를 구하였다.

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