• 제목/요약/키워드: singular use

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루프쉐이핑과 구조적 특이치를 이용한 견실성능 개선 (Analysis of robust performance improvement using loop shaping and structured singular value)

  • 방경호;오도창;박홍배
    • 전자공학회논문지B
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    • 제33B권5호
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    • pp.17-24
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    • 1996
  • In this paper, we present a robust performance improvement method for the NLCF(normalized left coprime factor) uncertain structure using loop shaping and the structure singular value. For this, we select weighting functions for a loop shaping considering condition numer, and transform the NLCF uncertain structure into the 4-block structure. However, we can't get a good performance on account of the restriction of weighting functions. To cope with this, we motivate the use of structured singular vlaue in the robust performance improvement procedure. After all, the robust performance improvement can be obtained by a factor W$_{a}$ and a scaling factor of D-K iteration.

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비최소 위상 시스템에서 음재생을 위한 역변환 필터의 구현 (An Implementation of Inverse Filter for Sound Reproduction of Non-Minimum Phase System.)

  • 노경래;이상권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 춘계학술대회논문집
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    • pp.997-1002
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    • 2001
  • This paper describes an implementation of inverse filter using SVD in order to recover the input in multi-channel system. The matrix formulation in SISO system is extended to MIMO system. In time and frequency domain we investigates the inversion of minimum phase system and non-minimum phase system. To execute an effective inversion of non-minimum phase system, SVD is introduced. First of all we computes singular values of system matrix and then investigates the phase property of system. In case of overall system is non-minimum phase, system matrix has one (or more) very small singular value(s). The very small singular value(s) carries information about phase properties of system. Using this property, approximate inverse filter of overall system is founded. The numerical simulation shows potentials in use of the inverse filter.

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FINITE ELEMENT DUAL SINGULAR FUNCTION METHODS FOR HELMHOLTZ AND HEAT EQUATIONS

  • JANG, DEOK-KYU;PYO, JAE-HONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제22권2호
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    • pp.101-113
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    • 2018
  • The dual singular function method(DSFM) is a numerical algorithm to get optimal solution including corner singularities for Poisson and Helmholtz equations. In this paper, we apply DSFM to solve heat equation which is a time dependent problem. Since the DSFM for heat equation is based on DSFM for Helmholtz equation, it also need to use Sherman-Morrison formula. This formula requires linear solver n + 1 times for elliptic problems on a domain including n reentrant corners. However, the DSFM for heat equation needs to pay only linear solver once per each time iteration to standard numerical method and perform optimal numerical accuracy for corner singularity problems. Because the Sherman-Morrison formula is rather complicated to apply computation, we introduce a simplified formula by reanalyzing the Sherman-Morrison method.

Generalization of Quantification for PLS Correlation

  • Yi, Seong-Keun;Huh, Myung-Hoe
    • 응용통계연구
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    • 제25권1호
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    • pp.225-237
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    • 2012
  • This study proposes a quantification algorithm for a PLS method with several sets of variables. We called the quantification method for PLS with more than 2 sets of data a generalization. The basis of the quantification for PLS method is singular value decomposition. To derive the form of singular value decomposition in the data with more than 2 sets more easily, we used the constraint, $a^ta+b^tb+c^tc=3$ not $a^ta=1$, $b^tb=1$, and $c^tc=1$, for instance, in the case of 3 data sets. However, to prove that there is no difference, we showed it by the use of 2 data sets case because it is very complicate to prove with 3 data sets. The keys of the study are how to form the singular value decomposition and how to get the coordinates for the plots of variables and observations.

Singular Value Decomposition 기반 고차원 인덱스 구조 (A High-Dimensional Index Structure Based on Singular Value Decomposition)

  • 김상욱
    • 산업기술연구
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    • 제20권B호
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    • pp.213-218
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    • 2000
  • The nearest neighbor query is an important operation widely used in multimedia databases for finding the object that is most similar to a given query object. Most of techniques for processing nearest neighbor queries employ multidimensional indexes for effective indexing of objects. However, the performance of previous multidimensional indexes, which use N-dimensional rectangles or spheres for representing the capsule of the object cluster, deteriorates seriously as the number of dimensions gets higher. This paper proposes a new index structure based singular value decomposition resolving this problem and the query processing method using it. We also verify the superiority of our approach through performance evaluation by performing extensive experiments.

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ATM망의 체증을 해결하기 위한 최적 제어기 설계 (Design of Optimal Controller for the Congestion in ATM Networks)

  • 정우채;김영중;임묘택
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권6호
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    • pp.359-365
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    • 2005
  • This paper presents an reduced-order near-optimal controller for the congestion control of Available Bit Rate (ABR) service in Asynchronous Transfer Mode (ATM) networks. We introduce the model, of a class of ABR traffic, that can be controlled using a Explicit Rate feedback for congestion control in ATM networks. Since there are great computational complexities in the class of optimal control problem for the ABR model, the near-optimal controller via reduced-order technique is applied to this model. It is implemented by the help of weakly coupling and singular perturbation theory, and we use bilinear transformation because of its computational convenience. Since the bilinear transformation can convert discrete Riccati equation into continuous Riccati equation, the design problems of optimal congestion control can be reduced. Using weakly coupling and singular perturbation theory, the computation time of Riccati equations can be saved, moreover the real-time congestion control for ATM networks can be possible.

SIF AND FINITE ELEMENT SOLUTIONS FOR CORNER SINGULARITIES

  • Woo, Gyungsoo;Kim, Seokchan
    • East Asian mathematical journal
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    • 제34권5호
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    • pp.623-632
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    • 2018
  • In [7, 8] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous boundary conditions, compute the finite element solutions using standard FEM and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. Their algorithm involves an iteration and the iteration number depends on the acuracy of stress intensity factors, which is usually obtained by extraction formula which use the finite element solutions computed by standard Finite Element Method. In this paper we investigate the dependence of the iteration number on the convergence of stress intensity factors and give a way to reduce the iteration number, together with some numerical experiments.

단일 유연 링크 매니퓰레이터의 복합 퍼지 제어 (Composite Fuzzy Control of a Single Flexible Link Manipulator)

  • 김재승;이수한
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.353-353
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    • 2000
  • To control a light weight flexible manipulator, a composite fuzzy controller is proposed. The controller is designed based on two time scaled models. A singular perturbation technique is applied for deriving the models. The proposed controller, however, does not use the complex equilibrium manifold equations, which are usually needed in the controller based on the two time scaled models. The controller for a slow sub-model and a fast sub-model are T-S type fuzzy controllers, which use 3 linguistic variables for each sub-model. A step trajectory is used in simulations as a reference trajectory of joint motions. The results of simulations with the proposed controller show excellent damping of flexible motions compared to a controller with derivative control of flexible motions.

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객체 식별 및 추적을 위한 히스토그램 기반 특이값 분해 (Histogram-Based Singular Value Decomposition for Object Identification and Tracking)

  • 강예연;박정민;고훈준;정경용
    • 인터넷정보학회논문지
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    • 제24권5호
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    • pp.29-35
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    • 2023
  • CCTV는 범죄 예방, 공공 안전 강화, 교통 관리 등 다양한 목적으로 사용된다. 그러나 카메라의 범위와 해상도가 향상됨에 따라 영상에서 개인의 신상정보가 노출되는 위험성이 있다. 따라서 영상에서 개인 정보를 보호함과 동시에 개인을 식별할 수 있는 새로운 기술의 필요성이 존재한다. 본 논문에서는 객체 식별 및 추적을 위한 히스토그램 기반 특이값 분해를 제안한다. 제안하는 방법은 객체의 색상 정보를 이용하여 영상에 존재하는 서로 다른 객체를 구분한다. 객체 인식을 위하여 YOLO와 DeepSORT를 이용해 영상에 존재하는 사람을 탐지 및 추출한다. 탐지된 사람의 위치 정보를 이용해 흑백 히스토그램으로 색상 값을 추출한다. 추출한 색상 값 중 유의미한 정보만을 추출하여 사용하기 위해 특이값 분해를 이용한다. 특이값 분해를 이용할 때 결과에서 상위 특이값의 평균을 이용함으로 객체 색상 추출의 정확도를 높인다. 특이값 분해를 이용해 추출한 색상 정보를 다른 영상에 존재하는 색상과 비교하며 서로 다른 영상에 존재하는 동일 인물을 탐지한다. 색상 정보 비교를 위해 유클리드 거리를 이용하며 정확도 평가는 Top-N을 이용한다. 평가 결과 흑백 히스토그램과 특이값 분해를 사용하여 동일 인물을 탐지할 때 최대 100%에서 최소 74%를 기록하였다.

Us thinketh hem wonder nyce and straunge: where form and meaning collide

  • Moon, Kyung-Hwan
    • 인문언어
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    • 제2권1호
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    • pp.93-127
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    • 2002
  • This paper deals with a class of Middle English impersonal constructions that involve verbs of two-place argument structure. As is generally understood, the term 'impersonal' is notoriously murky, and after all those researches that have been performed in this area, quite a few issues still remain controversial. The issues we center around in the present study concern the following two. In the type of impersonal constructions we consider, the two arguments-Cause and Experiencer-are both expressed in oblique case, posing the problem of determining which of them functions as the grammatical subject. The issue, however. is not how an argument in oblique case can be taken as the subject: it is well blown that the so called 'dative subject Experiencer' already occurred in Old English. The real issue is why both of the arguments are syntactically realized as nonnominative. The other issue concerns the 3rd-person singular form of the verb. Here again, the crux of the problem may be blurred by the fact that impersonal construction is often defined as one in which the verb has 3rd-person singular form with no apparent nominative W controlling verb concord. But this definition is more nebulous than clear because the notion 'subjectless' is itself highly controversial. Thus, for an expression like me thinketh that-S, it may well be that the verb thinketh ('seems') is 3rd-person singular because the that-clause is the subject. What should be explained of the data brought up here is why the impersonal verb is 3rd-person singular when neither of the NPs associated with it is 3rd person or singular. I argue that we can account for our paradigm examples by looking upon them as 'mixed construction' in which semantic interpretation conflicts with syntactic parsing as a result of case syncretism and gradual establishment of SVO word order. This amounts to saying that the peculiarities of the construction originate with the confused use of impersonal verbs between the sense of 'give an impression' and that of 'receive and impression.'

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