• Title/Summary/Keyword: Inverse Matrix

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Robust Intelligent Digital Redesign (강인 지능형 디지털 재설계 방안 연구)

  • Sung, Hwa-Chang;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.220-222
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    • 2006
  • This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated lineal operators to be matched. Also, by using the bilinear and inverse bilinear approximation method, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a T-S fuzzy model for the chaotic Lorentz system is used as an example to guarantee the stability and effectiveness of the proposed method.

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A Novel Fault Location Method for a Line to Line Fault Using Inverse Theorem of Matrix on Electric Power Lines (행렬의 역정리를 이용한 전력공급 선로의 상간단락 사고지점 검출 방법)

  • Lee Duck-su;Choi Myeon-song;Hyun Seung-ho
    • Proceedings of the KSR Conference
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    • 2004.06a
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    • pp.1321-1324
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    • 2004
  • Unbalanced systems, such as distribution systems, have difficulties in fault locations due to single-phase laterals and loads. In this paper, a novel fault location algorithm is suggested for a line to line faults using inverse theorem of matrix on electric power lines. The fault location for balanced systems has been studied using the current distribution factor, by a conventional symmetrical transformation, but that for unbalanced systems has not been investigated due to their high complexity The proposed algorithms overcome the limit of the conventional algorithm using the conventional symmetrical transformation, which requires the balanced system and are applicable to any electric power system but are particularly useful for unbalanced distribution systems. The simulation results oriented by the real distribution system are presented to show its effectiveness and accuracy.

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Free Vibration Analysis of a T Joint Using Thin-Walled Beam and Shell Elements (박판보 요소와 셸 요소를 이용한 T 조인트 진동 해석)

  • Kim, Jin-Hong;Kim, Hyeon-Seok;Kim, Yun-Yeong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.9 s.180
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    • pp.2334-2343
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    • 2000
  • This paper proposes an efficient beam-shell modeling technique for the free vibration analysis of a T-joint thin-walled beam structure. Except a small portion of a T-joint which is modeled by shell elements, the structure is modeled by thin-walled beam elements that can describe warping and distortion. In order to match the shell and thin-walled beam elements at the interface of the dissimilar elements, a technique based on a pseudo inverse matrix is formulated. This paper also examines the role of the thin-walled element taking into account the distortion and warping deformation degrees of freedom in predicting accurately the dynamic characteristics of a T-joint thin-walled structure.

Electromagnetic Fields Due to Moving Sources in Anisotripic Plasma (이방성 Plasma 내에서 운동중인 Source에 의한 전자계)

  • Kim, Young-Cho
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.2
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    • pp.149-169
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    • 1986
  • Fundamentals of electrodynamics of moving sources with constant velocity in an anisotripic plasma when the do magnetic field and the relative motion are oriented in arbitrary directions are presented. The well-known Minkowski's relations are generalized to accomodate anisotropic and dispersive media, and relativistic transformation formulae of constitutive parameters are derived and expanded into polynomials of the speed ratio \ulcornerto increase the utility of the formulae. The helmholtz wave equation of electromagnetic fields is generalized to the media charactrized by tensor parameters, and is solved in operator form. Also the solution of wave equation is expressed as a porcuct of the inverse of the wave operator matrix and the source function vector, and the inverse of the wave operator matrix is presented in an explicit form. The equations and formulae derived in this paper are all general, and can be reduced to known and proven results upon imposing the restriction called for by specific situations.

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A Study on the Simultaneous Linear Equations by Computer (전자계산기에 의한 다원연립 일차방정식의 해법에 관한 연구)

  • 이정복
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.8 no.12
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    • pp.127-138
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    • 1985
  • There are several methods which have been presented up to now in solving the simultaneous linear equations by computer. They are Gaussian Elimination Method, Gauss-Jordan Method, Inverse matrix Method and Gauss-Seidel iterative Method. This paper is not only discussed in their mechanisms compared with their algorithms, depicted flow charts, but also calculated the numbers of arithmetic operations and comparisons in order to criticize their availability. Inverse Matrix Method among em is founded out the smallest in the number of arithmetic operation, but is not the shortest operation time. This paper also indicates the many problems in using these methods and propose the new method which is able to applicate to even small or middle size computers.

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New Fault Location Algorithms by Direct Analysis of Three-Phase Circuit Using Matrix Inverse Lemma for Unbalanced Distribution Power Systems

  • Park, Myeon-Song;Lee, Seung-Jae
    • KIEE International Transactions on Power Engineering
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    • v.3A no.2
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    • pp.79-84
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    • 2003
  • Unbalanced systems, such as distribution systems, have difficulties in fault locations due to single-phase laterals and loads. This paper proposes new fault locations developed by the direct three-phase circuit analysis algorithms using matrix inverse lemma for the line-to-ground fault case and the line-to-line fault case in unbalanced systems. The fault location for balanced systems has been studied using the current distribution factor, by a conventional symmetrical transformation, but that for unbalanced systems has not been investigated due to their high complexity. The proposed algorithms overcome the limit of the conventional algorithm using the conventional symmetrical transformation, which requires the balanced system and are applicable to any power system but are particularly useful for unbalanced distribution systems. Their effectiveness has been proven through many EMTP simulations.

Reduction of Dimension of HMM parameters in MLLR Framework for Speaker Adaptation (화자적응시스템을 위한 MLLR 알고리즘 연산량 감소)

  • Kim Ji Un;Jeong Jae Ho
    • Proceedings of the KSPS conference
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    • 2003.05a
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    • pp.123-126
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    • 2003
  • We discuss how to reduce the number of inverse matrix and its dimensions requested in MLLR framework for speaker adaptation. To find a smaller set of variables with less redundancy, we employ PCA(principal component analysis) and ICA(independent component analysis) that would give as good a representation as possible. The amount of additional computation when PCA or ICA is applied is as small as it can be disregarded. The dimension of HMM parameters is reduced to about 1/3 ~ 2/7 dimensions of SI(speaker independent) model parameter with which speech recognition system represents word recognition rate as much as ordinary MLLR framework. If dimension of SI model parameter is n, the amount of computation of inverse matrix in MLLR is proportioned to O($n^4$). So, compared with ordinary MLLR, the amount of total computation requested in speaker adaptation is reduced to about 1/80~1/150.

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Material Properties and Strengthening Mechanism in Shape Memory TiNi Fiber Reinforced Al Matrix composite (TiNi/Al 형상기억 지적복합재료의 기계적 특성 및 강화기구)

  • Park, Yeong-Cheol;Yun, Du-Pyo;Lee, Gyu-Chang;Huruya, Y.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.3
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    • pp.405-413
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    • 1997
  • In the present paper, it is attempted to reconfirm the "Intelligent" material properties using both the sintered TiNi/Al(1100) matrix composite made by powder metallurgy method and the squeeze-casted TiNi/Al6061 specimens. A metal matrix composite is, its fault has been considered to deteriorate a strength of composite by heating residual stress of the matrix. Therefore, it is necessary to remove a tensile residual stress, to produce the strength of a composite better. On the contrary, if compressive residual stress happens in matrix of composite in place of tensile residual stress, it will make the strength of composite better. So that, this paper introduce the development of a high strength of composite, by using compressive residual stress well, on the study. By using these specimens, shape memory strengthening effects in tensile strength and fatigue crack propagation above inverse transformation temperature of TiNi fiber were investigated. We occurs the prestrain and volume fraction for to discuss the effects of a composite strength. Moreover, by SEM observation, the effect of the residual stress at the interface between Al matrix and TiNi fiber and some brittle precipitation layers such as inter metallic compounds on fracture mechanisms was discussed metallurgically.urgically.

A Study On The Eigen-properties of A 2-D Square Waveguide by the Krylov-Schur Iteration Method (Krylov-Schur 순환법에 의한 2차원 사각도파관에서의 고유치 문제에 관한 연구)

  • Kim, Yeong Min;Kim, Dongchool;Lim, Jong Soo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.11
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    • pp.28-35
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    • 2013
  • The Krylov-Schur algorithm has been applied to reveal the eigen-properties of the wave guide having the square cross section. The eigen-matrix equation has been constructed from FEM with the basis function of the tangential edge-vectors of the triangular element. This equation has been treated firstly with Arnoldi decomposition to obtain a upper Hessenberg matrix. The QR algorithm has been carried out to transform it into Schur form. The several eigen values satisfying the convergent condition have appeared in the diagonal components. The eigen-modes for them have been calculated from the inverse iteration method. The wanted eigen-pairs have been reordered in the leading principle sub-matrix of the Schur matrix. This sub-matrix has been deflated from the eigen-matrix equation for the subsequent search of other eigen-pairs. These processes have been conducted several times repeatedly. As a result, a few primary eigen-pairs of TE and TM modes have been obtained with sufficient reliability.