• Title/Summary/Keyword: matrix function

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An Accurate Estimation of a Modal System with Initial Conditions (ICCAS 2004)

  • Seo, In-Yong;Pearson, Allan E.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1694-1700
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    • 2004
  • In this paper, we propose the AWLS/MFT (Adaptive Weighed Least Squares/ Modulation Function Technique) devised by A. E. Pearson et al. for the transfer function estimation of a modal system and investigate the performance of several algorithms, the Gram matrix method, a Luenberger Observer (LO), Least Squares (LS), and Recursive Least Squares (RLS), for the estimation of initial conditions. With the benefit of the Modulation Function Technique (MFT), we can separate the estimation problem into two phases: the transfer function parameters are estimated in the first phase, and the initial conditions are estimated in the second phase. The LO method produces excellent IC estimates in the noise free case, but the other three methods show better performance in the noisy case. Finally, we compared our result with the Prony based method. In the noisy case, the AWLS and one of the three methods - Gram matrix, LS, and RLS- show better performance in the output Signal to Error Ratio (SER) aspect than the Prony based method under the same simulation conditions.

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Quality Function Deployment(QFD)와 Analytic Hierarchy Process(AHP)를 이용한 유도무기의 시스템 요구도 분석 (System Requirement Analysis of Guided Missile using Quality Function Deployment(QFD) and Analytic Hierarchy Process(AHP))

  • 노경호;황성환;이기승;강동석;김지억
    • 시스템엔지니어링학술지
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    • 제5권1호
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    • pp.67-72
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    • 2009
  • User Requirements are analyzed and quantified by decision making models and system engineering methods to select alternative concepts which satisfy the various requirements. In this study, the design concepts for guided missile are derived using Quality Function Deployment(QFD) and Analytic Hierarchy Process(AHP). The design alternatives that satisfy the user requirements are extracted by QFD and Morphological Matrix, then the best design concept are obtained using AHP and Pugh concept Selection.

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Structural damage detection using a damage probability index based on frequency response function and strain energy concept

  • Bagherahmadi, Seyed Ahdiye;Seyedpoor, Seyed Mohammad
    • Structural Engineering and Mechanics
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    • 제67권4호
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    • pp.327-336
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    • 2018
  • In this study, an efficient damage index is proposed to identify multiple damage cases in structural systems using the concepts of frequency response function (FRF) matrix and strain energy of a structure. The index is defined based on the change of strain energy of an element due to damage. For obtaining the strain energy stored in elements, the columnar coefficients of the FRF matrix is used. The new indicator is named here as frequency response function strain energy based index (FRFSEBI). In order to assess the performance of the proposed index for structural damage detection, some benchmark structures having a number of damage scenarios are considered. Numerical results demonstrate that the proposed index even with considering noise can accurately identify the actual location and approximate severity of the damage. In order to demonstrate the high efficiency of the proposed damage index, its performance is also compared with that of the flexibility strain energy based index (FSEBI) provided in the literature.

Multiclass LS-SVM ensemble for large data

  • Hwang, Hyungtae
    • Journal of the Korean Data and Information Science Society
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    • 제26권6호
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    • pp.1557-1563
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    • 2015
  • Multiclass classification is typically performed using the voting scheme method based on combining binary classifications. In this paper we propose multiclass classification method for large data, which can be regarded as the revised one-vs-all method. The multiclass classification is performed by using the hat matrix of least squares support vector machine (LS-SVM) ensemble, which is obtained by aggregating individual LS-SVM trained on each subset of whole large data. The cross validation function is defined to select the optimal values of hyperparameters which affect the performance of multiclass LS-SVM proposed. We obtain the generalized cross validation function to reduce computational burden of cross validation function. Experimental results are then presented which indicate the performance of the proposed method.

Radial Basis Function Network Based Predictive Control of Chaotic Nonlinear Systems

  • Choi, Yoon-Ho;Kim, Se-Min
    • 한국지능시스템학회논문지
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    • 제13권5호
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    • pp.606-613
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    • 2003
  • As a technical method for controlling chaotic dynamics, this paper presents a predictive control for chaotic systems based on radial basis function networks(RBFNs). To control the chaotic systems, we employ an on-line identification unit and a nonlinear feedback controller, where the RBFN identifier is based on a suitable NARMA real-time modeling method and the controller is predictive control scheme. In our design method, the identifier and controller are most conveniently implemented using a gradient-descent procedure that represents a generalization of the least mean square(LMS) algorithm. Also, we introduce a projection matrix to determine the control input, which decreases the control performance function very rapidly. And the effectiveness and feasibility of the proposed control method is demonstrated with application to the continuous-time and discrete-time chaotic nonlinear system.

전달함수합성법을 이용한 스티어링 시스템의 부분구조 해석 (Substructure Analysis of Steering System using Transfer Function Synthesis Method)

  • 홍성규;김도연;이두호;김찬묵
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 추계학술대회논문집
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    • pp.201-206
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    • 2000
  • In this work transfer function synthesis method based on FRF data of each substructure is investigated for a complex structure composed of many substructures. Though the transfer function synthesis method has superiority to analyze the characteristics of interfaces among substructures effectively, many problems arise in the computation process, especially matrix inversion process. Due to computational problems, the error between the data obtained by test and the predictions through computations is inevitable. So in this paper, computational aspects in the transfer function synthesis method are examined through a steering system problem of passenger car. For the FBS method, frequency response functions of 3 substructures are measured experimentally. Effects of several parameters such as matrix inversion method, connection conditions between substructures and off-diagonal terms on system response are studied numerically.

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르장드르 웨이블릿을 이용한 선형 시불변 시스템의 효율적 수치 해석 방법 (An Efficient Computational Method for Linear Time-invariant Systems via Legendre Wavelet)

  • 김범수
    • 제어로봇시스템학회논문지
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    • 제19권7호
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    • pp.577-582
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    • 2013
  • In this paper Legendre wavelets are used to approximate the solutions of linear time-invariant system. The Legendre wavelet and its integral operational matrix are presented and an efficient algorithm to solve the Sylvester matrix equation is proposed. The algorithm is based on the decomposition of the Sylvester matrix equation and the preorder traversal algorithm. Using the special structure of the Legendre wavelet's integral operational matrix, the full order Sylvester matrix equation can be solved in terms of the solutions of pure algebraic matrix equations, which reduce the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

Robust Non-negative Matrix Factorization with β-Divergence for Speech Separation

  • Li, Yinan;Zhang, Xiongwei;Sun, Meng
    • ETRI Journal
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    • 제39권1호
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    • pp.21-29
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    • 2017
  • This paper addresses the problem of unsupervised speech separation based on robust non-negative matrix factorization (RNMF) with ${\beta}$-divergence, when neither speech nor noise training data is available beforehand. We propose a robust version of non-negative matrix factorization, inspired by the recently developed sparse and low-rank decomposition, in which the data matrix is decomposed into the sum of a low-rank matrix and a sparse matrix. Efficient multiplicative update rules to minimize the ${\beta}$-divergence-based cost function are derived. A convolutional extension of the proposed algorithm is also proposed, which considers the time dependency of the non-negative noise bases. Experimental speech separation results show that the proposed convolutional RNMF successfully separates the repeating time-varying spectral structures from the magnitude spectrum of the mixture, and does so without any prior training.

전력시장 입찰함수모형에서 입찰 파라미터 선택에 관한 연구 (A Study on the Selection of a Bidding Parameter at the Bidding Function Model in an Electricity Market)

  • 조철희;이광호
    • 대한전기학회논문지:전력기술부문A
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    • 제53권11호
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    • pp.630-635
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    • 2004
  • Generation companies(Genco) submit the supply functions as a bidding function to a bid market in a competitive electricity market. The profits of Gencos vary in accordance with the bid functions, so the selection of a bidding function plays a key role in increasing their profits. In order to get a profitable bidding function which is usually linear, it is required to modify adequately the intersection and the slope of a linear supply function. This paper presents an analysis of the selection of the supply function from the viewpoint of Nash equilibrium(NE). Four types of bidding function parameters are used for analizing the electricity market. The competition of selecting bidding parameters is modeled as two level games in this research. One is a subgame where a certain type of parameters is given and the players compete to select values of the underlying parameters. The other is an overall game where the players compete to select a profitable type among the four types of parameters. The NEs in both games are computed by an using analytic method and a payoff matrix method. It is verified in case studies for the NE of overall game to satisfy the equilibrium condition.

고역율 PWM 매트릭스 컨버터의 개선된 순시추종 제어함수 (Improved instantaneous Following Control Function for High Power Factor PWM Matrix Converter)

  • 김광태
    • 조명전기설비학회논문지
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    • 제19권3호
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    • pp.35-43
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    • 2005
  • 종래의 컨버터-인버터 전력변환 시스템에서 do-link를 제거하여 보다 효과적인 인버터를 만들기 위하여 매트릭스 컨버터에 관하여 연구를 하고자 한다. 따라서 매트릭스 컨버터는 에너지를 저장하는 능동소자를 갖지 않는 장점이 있으나 전원이 스위치를 통하여 직접 부하에 연결되므로 전원의 리플과 노이즈가 그대로 부하에 전달되는 결점을 갖는다. 매트릭스 컨버터는 전원을 부하에 대하여 정현적으로 스위칭해야 되며, 한편 이러한 노이즈를 제거 및 보상하는 특성과 함께 역율문제도 함께 해결해야 한다. 본 연구에서는 종래의 제시된 방법에 비하여 제어어시간을 단축시킨 제어함수를 제시한다. 제시된 제어함수는 전원에 포함된 리플과 노이즈를 스위칭하는 과정에서 자동으로 보상하며 역율 1이되게 스위칭한다. 시뮬레이션 결과와 실험결과를 함께 제시한다.