• Title/Summary/Keyword: matrix application

검색결과 1,445건 처리시간 0.075초

Application of Analytic Solution in Relative Motion to Spacecraft Formation Flying in Elliptic Orbit

  • Cho, Han-Cheol;Park, Sang-Young;Choi, Kyu-Hong
    • Journal of Astronomy and Space Sciences
    • /
    • 제25권3호
    • /
    • pp.255-266
    • /
    • 2008
  • The current paper presents application of a new analytic solution in general relative motion to spacecraft formation flying in an elliptic orbit. The calculus of variations is used to analytically find optimal trajectories and controls for the given problem. The inverse of the fundamental matrix associated with the dynamic equations is not required for the solution in the current study. It is verified that the optimal thrust vector is a function of the fundamental matrix of the given state equations. The cost function and the state vector during the reconfiguration can be analytically obtained as well. The results predict the form of optimal solutions in advance without having to solve the problem. Numerical simulation shows the brevity and the accuracy of the general analytic solutions developed in the current paper.

An Application of a Parallel Algorithm on an Image Recognition

  • Baik, Ran
    • Journal of Multimedia Information System
    • /
    • 제4권4호
    • /
    • pp.219-224
    • /
    • 2017
  • This paper is to introduce an application of face recognition algorithm in parallel. We have experiments of 25 images with different motions and simulated the image recognitions; grouping of the image vectors, image normalization, calculating average image vectors, etc. We also discuss an analysis of the related eigen-image vectors and a parallel algorithm. To develop the parallel algorithm, we propose a new type of initial matrices for eigenvalue problem. If A is a symmetric matrix, initial matrices for eigen value problem are investigated: the "optimal" one, which minimize ${\parallel}C-A{\parallel}_F$ and the "super optimal", which minimize ${\parallel}I-C^{-1}A{\parallel}_F$. In this paper, we present a general new approach to the design of an initial matrices to solving eigenvalue problem based on the new optimal investigating C with preserving the characteristic of the given matrix A. Fast all resulting can be inverted via fast transform algorithms with O(N log N) operations.

전력시장 해석을 위한 3연 참여 게임의 해법 연구 (A Solution Method of a Three-Player Game for Application to an Electric Power Market)

  • 이광호
    • 대한전기학회논문지:전력기술부문A
    • /
    • 제52권6호
    • /
    • pp.347-353
    • /
    • 2003
  • In models of imperfect competition of deregulated electricity markets, the key task is to find the Nash equilibrium(NE). The approaches for finding the NE have had two major bottlenecks: computation of mixed strategy equilibrium and treatment of multi-player games. This paper proposes a payoff matrix approach that resolves these bottlenecks. The proposed method can efficiently find a mixed strategy equilibrium in a multi-player game. The formulation of the m condition for a three-player game is introduced and a basic computation scheme of solving nonlinear equalities and checking inequalities is proposed. In order to relieve the inevitable burden of searching the subspace of payoffs, several techniques are adopted in this paper. Two example application problems arising from electricity markets and involving a Cournot and a Bertrand model, respectively, are investigated for verifying the proposed method.

이산 대수 Rccati방정식의 해의 존재 영역 확장 및 $H_{\infty}$베어기 설계 응용 (Extensions of the solution region for a discrete algebraic riccati equation and its application to$H_{\infty}$ controller design)

  • 권욱현;박부견;김상우
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
    • /
    • pp.461-466
    • /
    • 1989
  • This paper describes some properties of a discrete algebraic Riccati equation and its application to $H^{\infty}$ control design. The conditions, under which an input weighting matrix can be found for a negative output weighting matrix in order that a solution P for a discrete algebraic equation may exist, are suggested in case of a stable A. This result is applied to a $H^{\infty}$ controller design for the special case of nonsingular B. It is based on a state feedback control law whose objective is to reduce the effect of input disterbances below a prespecified level. This law requires the solution of a modified algebraic Riccati equation, which provides an method for the $H^{\infty}$ optimization control problem approximately.ly.

  • PDF

Low-Power Bus Architecture Composition for AMBA AXI

  • Na, Sang-Kwon;Yang, Sung;Kyung, Chong-Min
    • JSTS:Journal of Semiconductor Technology and Science
    • /
    • 제9권2호
    • /
    • pp.75-79
    • /
    • 2009
  • A system-on-a-chip communication architecture has a significant impact on the performance and power consumption of modern multi-processors system-on-chips (MPSoCs). However, customization of such architecture for a specific application requires the exploration of a large design space. Thus, system designers need tools to rapidly explore and evaluate communication architectures. In this paper we present the method for application-specific low-power bus architecture synthesis at system-level. Our paper has two contributions. First, we build a bus power model of AMBA AXI bus communication architecture. Second, we incorporate this power model into a low-power architecture exploration algorithm that enables system designers to rapidly explore the target bus architecture. The proposed exploration algorithm reduces power consumption by 20.1% compared to a maximally connected reduced matrix, and the area is also reduced by 20.2% compared to the maximally connected reduced matrix.

미소구간 유리하알변환에 의한 선형계의 해석을 위한 새로운 접근방법 (New Approach to the Analysis of Linear Systems Via Local Rationalized Haar Transform)

  • 김진태;안두수
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제51권6호
    • /
    • pp.228-234
    • /
    • 2002
  • This paper proposes a real-time application of rationalized Haar transform which is based on the local rationalized Haar transform, local operational matrix and local delay operational matrix. This approach let a general sampling time be used by introducing a scaling factor. In the existing method of orthogonal functions, a major disadvantage is that process signals need to be recorded prior to obtaining their expansions. This paper proposes a novel method of rationalized Haar transform to overcome this shortcoming. And the proposed method is suitable for the analysis of linear systems. The proposed method is expected to the applicable to the adaptive control which demanded to the real-time applications.

변분근사식과 연계된 산란체법에 의한 파랑변형 계산 (Computation of Wave Propagation by Scatter Method Associated with Variational Approximation)

  • 서승남
    • 한국해안·해양공학회논문집
    • /
    • 제20권6호
    • /
    • pp.553-563
    • /
    • 2008
  • 만일 임의의 지형을 다수의 계단으로 근사하면 이 지형 위를 지나는 선형 파랑의 변형을 계산하기 위해 변분근사법과 고유함수 전개법을 사용할 수 있다. 본 논문에서는 반사율과 투과율을 계산하기 위해 변분근사식과 연계된 산란체법을 제시하였다. 본 기법은 O'Hare and Davies의 변환행렬 축차법보다 간단하고 직접적인 방법임을 보였다. 또한 수 개의 수치실험을 실시하여 기존 결과와 거의 같은 결과를 얻었다.

자동차 공간을 위한 Matrix기반의 상황인식 모델 개발 (Development of a Matrix-based Context Awareness Model for Vehicle Environment)

  • 고재진;최기호
    • 한국ITS학회 논문지
    • /
    • 제8권6호
    • /
    • pp.187-195
    • /
    • 2009
  • 최근 유비쿼터스 컴퓨팅의 발전과 함께 유비쿼터스 환경에 적용할 수 있는 상황인식 모델에 대한 연구 개발이 요구되고 있다. 본 논문은 자동차 공간을 위한 매트릭스 기반 상황인식 모델을 설계하고 구현하였으며, 상황인식 모델링을 위해 5W1H와 CAM 수식을 이용한 매트릭스 구성 방법을 제안하였다. 개인 식별과 위치 확인을 위한 Zigbee 모듈과 GPS의 현재의 공간과 시간 정보를 위한 네비게이터를 이용하여 제안된 모델을 이용한 시스템을 구현하였다. 시험 결과 제안된 모델이 유용 가능함을 보였다.

  • PDF

Jacobian 행렬의 비 대각 요소를 보존시킬 수 있는 조류계산에 관한 연구 (A Study on the load Flow Calculation for preserving off Diagonal Element in Jacobian Matrix)

  • 이종기;최병곤;박정도;류헌수;문영현
    • 대한전기학회논문지:전력기술부문A
    • /
    • 제48권9호
    • /
    • pp.1081-1087
    • /
    • 1999
  • Load Flow calulation methods can usually be divided into Gauss-Seidel method, Newton-Raphson method and decoupled method. Load flow calculation is a basic on-line or off-line process for power system planning. operation, control and state analysis. These days Newton-Raphson method is mainly used since it shows remarkable convergence characteristics. It, however, needs considerable calculation time in construction and calculation of inverse Jacobian matrix. In addition to that, Newton-Raphson method tends to fail to converge when system loading is heavy and system has a large R/X ratio. In this paper, matrix equation is used to make algebraic expression and then to slove load flow equation and to modify above defects. And it preserve P-Q bus part of Jacobian matrix to shorten computing time. Application of mentioned algorithm to 14 bus, 39 bus, 118 bus systems led to identical results and the same numbers of iteration obtained by Newton-Raphson method. The effect of computing time reduction showed about 28% , 30% , at each case of 39 bus, 118 bus system.

  • PDF

Traverse 망조정(網調整)에 있어서 엄밀해법(嚴密解法)과 근이해법(近似解法)의 정확도(正確度) 분석(分析) (The Accuracy Analysis of the Rigorous Method and the Approximate Method in the Adjustment of Traverse Networks)

  • 이계학
    • 대한토목학회논문집
    • /
    • 제8권4호
    • /
    • pp.33-39
    • /
    • 1988
  • 본(本) 연구(硏究)는 matrix 해석(解析)(rigorous-method)을 이용(利用)하여 정밀(情密) traverse망(網)을 조정(調整)하는데 목적이 있다. 본(本) 연구(硏究) 결과(結果), matrix 해석(解析)에 의(依)한 엄밀해법(嚴密解法)으로도 복잡(複雜)한 traverse망(網)을 신속(迅速) 정확(正確)하게 처리(處理)할 수 있다. 또한 종래(從來)의 근사해법(approximate-method)을 본(本) matrix 해법(解法)의 조정(調整)값과 비교(比較)한 결과(結果) 평균(平均)제곱오차범위이내(誤差範圍以內)에 있고, 조정좌표(調整座標)값의 비교차(比較差)도 0.4~0.9mm정도(程度)로 나타났으며, 이로써 근사해법(approximate-method)의 실용적(實用的) 가치(價値)를 입증(立證)하게 되었다.

  • PDF