• 제목/요약/키워드: vector-matrix method

검색결과 417건 처리시간 0.035초

동적시스템의 차수 줄임을 위한 주상태의 최적선택 (Optimal Selection of Master States for Order Reduction)

  • 오동호;박영진
    • 소음진동
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    • 제4권1호
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    • pp.71-82
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    • 1994
  • We propose a systematic method to select the master states, which are retained in the reduced model after the order reduction process. The proposed method is based on the fact that the range space of right eigenvector matrix is spanned by orthogonal base vectors, and tries to keep the orthogonality of the submatrix of the base vector matrix as much as possible during the reduction process. To quentify the skewness of that submatrix, we define "Absolute Singularity Factor(ASF)" based on its singular values. While the degree of observability is concerned with estimation error of state vector and up to n'th order derivatives, ASF is related only to the minimum state estimation error. We can use ASF to evaluate the estimation performance of specific partial measurements compared with the best case in which all the state variables are identified based on the full measurements. A heuristic procedure to find suboptimal master states with reduced computational burden is also proposed. proposed.

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FWT를 이용한 비선형계의 계층별 최적제어 (Hierarchical Optimal Control of Non-linear Systems using Fast Walsh Transform)

  • 정제욱;조영호;임국현;안두수
    • 대한전기학회논문지:시스템및제어부문D
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    • 제49권8호
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    • pp.415-422
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    • 2000
  • This paper presents a new algorithm for hierarchical optimal control of nonlinear systems. The proposed method is simple because the solutions are obtained by only exchanging informations of coefficient vector based on interaction prediction principle and FWT(fast Walsh transform) in upper and lower level. Since we solve two point boundary problem with Picard's iterative method and the backward integral operational matrix of Walsh function to obtain the optimal vector of each independent subsystem, the algorithm is simple and its operation is fast without inverse matrix and kronecker product operation. In simulation, the proposed algorithm's usefulness is proved by comparison with the global optimal control methods.

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Elastic solutions due to a time-harmonic point load in isotropic multi-layered media

  • Lin, Gao;Zhang, Pengchong;Liu, Jun;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.327-355
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    • 2016
  • A new analytical derivation of the elastodynamic point load solutions for an isotropic multi-layered half-space is presented by means of the precise integration method (PIM) and the approach of dual vector. The time-harmonic external load is prescribed either on the external boundary or in the interior of the solid medium. Starting with the axisymmetric governing motion equations in a cylindrical coordinate system, a second order ordinary differential matrix equation can be gained by making use of the Hankel integral transform. Employing the technique of dual vector, the second order ordinary differential matrix equation can be simplified into a first-order one. The approach of PIM is implemented to obtain the solutions of the ordinary differential matrix equation in the Hankel integral transform domain. The PIM is a highly accurate algorithm to solve sets of first-order ordinary differential equations and any desired accuracy of the dynamic point load solutions can be achieved. The numerical simulation is based on algebraic matrix operation. As a result, the computational effort is reduced to a great extent and the computation is unconditionally stable. Selected numerical trials are given to validate the accuracy and applicability of the proposed approach. More examples are discussed to portray the dependence of the load-displacement response on the isotropic parameters of the multi-layered media, the depth of external load and the frequency of excitation.

벡터유한요소법과 모드정합법을 이용한 불연속 구조를 갖는 평면형 선로의 효율적 계산 (Efficient Calculation of a Step Discontinuity for Planar Transmission Line Using Vector Finite Element Method and Mode Matching Method)

  • 김영태;김철수;박준석;안달;김형석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 C
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    • pp.1817-1819
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    • 2001
  • For an efficient calculation of scattering matrix of planar transmission line with step discontinuity. Mode Matching Method combined with Vector Finite Element Method is adopted. Calculating effective widths are replaced with their respective equivalent planar waveguide corresponding to the microstrip width, Propagation Constant is calculated from the Vector finite element. Mode matching method is used for deriving scattering parameters.

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Nonnegative variance component estimation for mixed-effects models

  • Choi, Jaesung
    • Communications for Statistical Applications and Methods
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    • 제27권5호
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    • pp.523-533
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    • 2020
  • This paper suggests three available methods for finding nonnegative estimates of variance components of the random effects in mixed models. The three proposed methods based on the concepts of projections are called projection method I, II, and III. Each method derives sums of squares uniquely based on its own method of projections. All the sums of squares in quadratic forms are calculated as the squared lengths of projections of an observation vector; therefore, there is discussion on the decomposition of the observation vector into the sum of orthogonal projections for establishing a projection model. The projection model in matrix form is constructed by ascertaining the orthogonal projections defined on vector subspaces. Nonnegative estimates are then obtained by the projection model where all the coefficient matrices of the effects in the model are orthogonal to each other. Each method provides its own system of linear equations in a different way for the estimation of variance components; however, the estimates are given as the same regardless of the methods, whichever is used. Hartley's synthesis is used as a method for finding the coefficients of variance components.

스마트안테나용 S-LS 알고리즘 (Sequential LS Algorithms for Smart Antennas)

  • Park, Jaedon;Tuan, Le-Minh;Giwan Yoon;Kim, Jewoo
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2001년도 추계종합학술대회
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    • pp.341-344
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    • 2001
  • ILSP 알고리즘의 계산량을 줄일수 있는 알고리즘을 제안한다. 블록단위로 계산되는 기존의 알고리즘과 달리, Sequential 하게 계산을 진행하므로 계산량이 매우 감소된다. 그러나, 성능은 기존의 알고리즘과 똑같은 결과를 보여준다. Rayleigh Fading 채널의 CDMA 환경에서 시뮬레이션을 구현했다.

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Voltage Source FEA for Hysteresis Motor using Preisach Model

  • Hong, Sun-Ki;Lee, Seok-Hee;Jung, Hyun-Kyo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제11B권4호
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    • pp.164-168
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    • 2001
  • In this paper voltage source FEA for hysteresis motor considering magnetic hysteresis characteristics is presented. The Preisach model is used as a hysteresis model. System matrix whose unknown variables are vector potentials and currents is formulated for voltage source. The stiffness matrix is maintained constant by using M-iteration method. Therefore the calculation time and efforts are reduced with Choleski direct method. Current waveform can be calculated for arbitrary voltage vaveform considering hysteresis effects.

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부분행렬을 사용한 행렬.벡터 연산용 1차원 시스톨릭 어레이 프로세서 설계에 관한 연구 (A Study On Improving the Performance of One Dimensional Systolic Array Processor for Matrix.Vector Operation using Sub-Matrix)

  • 김용성
    • 정보학연구
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    • 제10권3호
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    • pp.33-45
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    • 2007
  • Systolic Array Processor is used for designing the special purpose processor in Digital Signal Processing, Computer Graphics, Neural Network Applications etc., since it has the characteristic of parallelism, pipeline processing and architecture of regularity. But, in case of using general design method, it has intial waiting period as large as No. of PE-1. And if the connected system needs parallel and simultaneous outputs, processor has some problems of the performance, since it generates only one output at each clock in output state. So in this paper, one dimensional Systolic Array Processor that is designed according to the dependance of data and operations using the partitioned sub-matrix is proposed for the purpose of improving the performance. 1-D Systolic Array using 4 partitioned sub-matrix has efficient method in case of considering those two problems.

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Improved Direct Torque Control for Sensorless Matrix Converter Drives with Constant Switching Frequency and Torque Ripple Reduction

  • Lee Kyo-Beum;Blaabjerg Frede
    • International Journal of Control, Automation, and Systems
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    • 제4권1호
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    • pp.113-123
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    • 2006
  • In this paper, an improved direct torque control (DTC) method for sensorless matrix converter drives is proposed which enables to minimize torque ripple, to obtain unity input power factor, and to achieve good sensorless speed-control performance in the low speed operation, while maintaining constant switching frequency and fast torque dynamics. It is possible to combine the advantages of matrix converters with the advantages of the DTC strategy using space vector modulation and a flux deadbeat controller. To overcome the phase current distortion by the non-linearity of a matrix converter drive, the simple non-linearity compensation method using PQR power theory are presented in the proposed scheme. Experimental results are shown to illustrate the feasibility of the proposed strategy.

미꾸라지로부터의 복제원점 클로닝 및 그 특성에 관한 연구 (Cloning and Characterization of Replication Origins from Misgurnus mizolepis)

  • 임학섭;김무상;이형호
    • 한국양식학회지
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    • 제8권3호
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    • pp.209-220
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    • 1995
  • 미꾸라지의 간으로부터 핵을 분리하여, 저농도 염추출 및 제한효소 처리로 핵기질(nuclear matrix)을 분리하였다. 분리된 핵기질을 Proteinase K로 분해한 후, phenol-chloroform 추출로 크기가 약 0.3kb-15kb의 분포를 나타내는 핵기질 부착 DNA (nuclear matrix attachment regions : MARs)를 얻었다. 효모 URA 3 유전자를 가진 2.13 kb Eco47 III 단편을 제한효소 Ssp I 으로 절단된 pUC19 플라즈미드 벡타에 결합시켜, ARS (autonomously replication sequence) 클로닝을 위한 pURY19 플라즈미드 벡타를 만들었다. 이 pURY19 벡타는 Saccharomyces cerevisiae내에서 독립적으로 복제할 수 없기 때문에, 물고기의 효율적인 발현 벡타 개발을 위해, 이 system을 이용하여, S. cerevisiae내에서 독립적으로 복제 가능한 미꾸라지의 ARS를 클로닝하고자 하였다. 분리 된 MARs를 pURY19 벡타에 결합시 킨 다음, E. coli $DH5\alpha$에 형질전환시켜 $pURY19N_{l-62}$를 얻었다. MAR Libraries $(pURY19N_{1-62})$를 각각 $Ura^-\;S.\;cerevisiae$에 형질전환시켜, S. cerevisiae내에서 독립적으로 복제 가능한 M. mizolepis 유래의 복제원점들 (ARSs)을 분리하여, Sanger's dideoxy-chain termination method로 염기서열을 분석하였다. 염기서열 분석결과 모든 clones들은 AT-rich하였으며, 특히 $pURY19N_6$에는 ARS concensus sequence, Topoisomerase II consensus, near A-box, 그리고 T-box들이 존재하였다.

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