• 제목/요약/키워드: operation of matrix

검색결과 635건 처리시간 0.022초

Generalized optimal active control algorithm with weighting matrix configuration, stability and time-delay

  • Cheng, Franklin Y.;Tian, Peter
    • Structural Engineering and Mechanics
    • /
    • 제1권1호
    • /
    • pp.119-135
    • /
    • 1993
  • The paper presents a generalized optimal active control algorithm for earthquake-resistant structures. The study included the weighting matrix configuration, stability, and time-delays for achieving control effectiveness and optimum solution. The sensitivity of various time-delays in the optimal solution is investigated for which the stability regions are determined. A simplified method for reducing the influence of time-delay on dynamic response is proposed. Numerical examples illustrate that the proposed optimal control algorithm is advantageous over others currently in vogue. Its feedback control law is independent of the time increment, and its weighting matrix can be flexibly selected and adjusted at any time during the operation of the control system. The examples also show that the weighting matrix based on pole placement approach is superior to other weighting matrix configurations for its self-adjustable control effectiveness. Using the time-delay correction method can significantly reduce the influence of time-delays on both structural response and required control force.

Motion Analysis of Two Floating Platforms with Mooring and Hawser Lines in Tandem Moored Operation by Combined Matrix Method and Separated Matrix Method

  • KOO BON-JUN;KIM MOO-HYUN
    • 한국해양공학회지
    • /
    • 제19권5호
    • /
    • pp.1-15
    • /
    • 2005
  • The motion behaviors including hydrodynamic interaction and mechanical coupling effects on multiple-body floating platforms are simulated by using a time domain hull/mooring/riser coupled dynamics analysis program. The objective of this study is to evaluate off-diagonal hydrodynamic interaction effects and mechanical coupling effects on tandem moored FPSO and shuttle taker motions. In the multiple-body floating platforms interaction, hydrodynamic coupling effects with waves and mechanical coupling effects through the connectors should be considered. Thus, in this study, the multiple-body platform motions are calculated by Combined Matrix Method (CMM) as well as Separated Matrix Method (SMM). The advantage of the combined matrix method is that it can include all the 6Nx6N full hydrodynamic and mechanical interaction effects among N bodies. Whereas, due to the larger matrix size, the calculation time of Combined Matrix Method (CMM) is longer than the Separated Matrix Method (SMM). On the other hand, Separated Matrix Method (SMM) cannot include the off-diagonal 6x6 hydrodynamic interaction coefficients although it can fully include mechanical interactions among N bodies. To evaluate hydrodynamic interaction and mechanical coupling effects, tandem moored FPSO and shuttle tanker is simulated by Combined Matrix Method (CMM) and Separated Matrix Method (SMM). The calculation results give a good agreement between Combined Matrix Method (CMM) and Separated Matrix Method (SMM). The results show that the Separated Matrix Method (SMM) is more efficient for tandem moored FPSO and shuttle tanker. In the numerical calculation, the hydrodynamic coefficients are calculated from a 3D diffraction/radiation panel program WAMIT, and wind and current forces are generated by using the respective coefficients given in the OCIMF data sheet.

확률분포 생성을 통한 근사 행렬 곱셈 간소화 방법 (Probability distribution-based approximation matrix multiplication simplification algorithm)

  • 권오영;서경택
    • 한국정보통신학회논문지
    • /
    • 제26권11호
    • /
    • pp.1623-1629
    • /
    • 2022
  • 행렬 곱셈은 과학 및 공학 분야에서 널리 사용되는 기본 연산이다. 딥러닝의 학습 알고리즘에도 행렬 곱셈이 많이 사용된다. 따라서 행렬 곱셈을 효과적으로 수행하기 위한 다양한 알고리즘들 개발하고 있다. 이중 행렬 곱셈의 연산량을 줄이는 방법으로 근사 행렬 곱셈 방법이 있다. 근사 행렬 곱셈은 행렬의 열과 행을 선택하기 위한 적절한 확률 분포를 결정하고, 이 분포에 따라 행렬의 열과 행을 선택하여 근사 행렬 곱셈을 수행한다. 기존의 방법들을 행렬 곱셈에 참여하는 두 개의 행렬 A, B를 모두 고려하여 확률 분포를 생성한다. 본 논문은 행렬 A만을 대상으로 근사 행렬 곱셈에 사용될 행렬의 열과 행을 선택하는 확률 분포를 생성하는 방법을 제안하였다. 기존의 방법들과 제안된 방법들을 사용하여 1000×1000, 2000×2000, 3000×3000, 4000×4000, 5000×5000 행렬에 대하여 근사 행렬 곱셈을 수행하였다. 기존의 방법보다 제안한 방법을 적용한 근사 행렬 곱셈이 평균 0.02%에서 2.34%까지 원래 행렬 곱셈 결과에 더 근접하는 결과를 보였다.

블럭펄스 함수 미분 연산식을 이용한 시스템 해석에 관한 연구 (Analysis of Linear System by using Block Pulse function's Differential Operation)

  • 안비오;심재선;채영무;안두수
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1997년도 하계학술대회 논문집 B
    • /
    • pp.581-583
    • /
    • 1997
  • For the last two decades, many researchers have interests in orthogonal functions by reason of its applicability on linear system analysis. But they only used integral operation matrix of orthogonal functions to solve the state space equations. Thus, this paper present some new result of differential operation of block-pulse functions from a numerical point of view.

  • PDF

행렬의 명제 문제에 대한 오류 분석 및 교정 지도 방안에 관한 연구 (A Study on Error Analysis and Correction Method in Proof Problems of Matrix)

  • 김혜진;김원경
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제49권2호
    • /
    • pp.161-174
    • /
    • 2010
  • The purpose of the study is to analyze various types of errors appeared in true-false proof problems of matrix and to find out correction method. In order to achieve this purpose, error test was conducted to the subject of 87 second grade students who were chosen from D high schoool. It was shown from this test that the most frequent error type was caused by the lack of understanding about concepts and essential facts of matrix(35.3%), and then caused by the invalid logically reasoning (27.4%), and then caused by the misusing conditions(18.7%). Through three hours of correction lessons with 5 students, the following correction teaching method was proposed. First, it is stressed that the operation rules and properties satisfied in real number system can not be applied in matrix. Second, it is taught that the analytical proof method and the reductio ad absurdum method are useful in the proof problem of matrix. Third, it is explained that the counter example of E=$\begin{pmatrix}1\;0\\0\;1 \end{pmatrix}$, -E should be found in proof of the false statement. Fourth, it is taught that the determinant condition should be checked for the existence of the inverse matrix.

프레임워크 기반 스마트시티 사이버 보안 메트릭스 (Framework Based Smart City Cyber Security Matrix)

  • 김성민;정혜선;이용우
    • 한국산업융합학회 논문집
    • /
    • 제23권2_2호
    • /
    • pp.333-341
    • /
    • 2020
  • In this paper, we introduce a smart city-cyber-security-grid-matrix methodology, as a result of research on overall cyber security of smart cities. The identified cyber security risks that threaten smart cities and smart-city-cyber-security-threat list are presented. The smart-city-cyber-security-requirements necessary to secure the smart city cyber security with the developed smart city-cyber-security-grid-matrix are given in this paper. We show how the developed smart city-cyber-security-grid-matrix methodology can be applied to real world. For it, we interlocked the developed smart city-cyber-security-grid-matrix methodology with the cyber-security-framework of the National Institute of Standards and Technology, and developed a framework-based smart city-cyber-security-grid-matrix. Using it, it is easy and comfortable to check the level of cyber security of the target smart ciy at a glace, and the construction and operation of the smart city security system is systematized.

비선형모델을 이용한 matrix convertor로 구동되는 축소차원 확장 루엔버거 관측기기반의 유도전동기 센서리스 벡터제어의 성능개선 (Performance Improvement of Reduced Order Extended Luenberger Observer(ROELO) based Sensorless Vector Control Fed by Matrix Converter With Non-linearity Modeling)

  • 이교범
    • 전력전자학회논문지
    • /
    • 제10권4호
    • /
    • pp.363-372
    • /
    • 2005
  • 본 논문에서는 비선형 모델링 기법을 이용하여 matrix convertor로 구동되는 유도전동기 구동장치의 성능개선을 위한 새로운 센서리스 기법을 제안한다. 각 스위치에서 발생하는 전환지연과 스위치 소자의 전압강하등과 같은 matrix converter의 비선형 특성을 모델링하여 보상함으로써 저속영역에서의 속도제어성능을 향상시킨다. 전속도 영역에서의 속도 센서리스 제어성능을 향상시키기 위해 축소차원 확장 루엔버거 관측기를 적용하고, 제안한 관측기 이득의 설정방법을 제안한다. 실험을 통해 제안한 제어 알고리즘의 타당성을 검증한다

WAVE 시스템에서 스크램블러의 속도 향상을 위한 연구 (Research for Improving the Speed of Scrambler in the WAVE System)

  • 이대식;유영모;이상윤;오세갑
    • 한국통신학회논문지
    • /
    • 제37A권9호
    • /
    • pp.799-808
    • /
    • 2012
  • WAVE(Wireless Access for Vehicular Environment) 시스템에서 스크램블러의 비트 연산은 하드웨어나 소프트웨어 측면에서 병렬 처리가 불가능하여 효율성이 떨어지게 된다. 본 논문에서는 행렬 테이블에서 시작 위치를 찾는 알고리즘을 제안한다. 또한 스크램블러의 비트 연산 알고리즘과 행렬 테이블 구성 알고리즘, 행렬 테이블에서 시작 위치를 찾는 알고리즘을 8비트, 16비트, 32비트 단위로 처리하여 성능을 비교 분석한 결과 초당 처리 횟수는 8비트는 2917.8회, 16비트는 5432.1회, 32비트는 10277.8회 더 수행할 수 있었다. 따라서 행렬 테이블에서 시작 위치를 찾는 알고리즘이 WAVE 시스템에서 스크램블러의 속도를 향상시키고, 지능형 교통 체계(ITS)에서 노변장치와 차량(V2I) 또는 차량 사이의 통신(V2V)으로 다양한 정보 수집의 수신 속도와 정밀도를 향상시킬 수 있다.

Hopf Bifurcation Study of Inductively Coupled Power Transfer Systems Based on SS-type Compensation

  • Xia, Chenyang;Yang, Ying;Peng, Yuxiang;Hu, Aiguo Patrick
    • Journal of Power Electronics
    • /
    • 제19권3호
    • /
    • pp.655-664
    • /
    • 2019
  • In order to analyze the nonlinear phenomena of the bifurcation and chaos caused by the switching of nonlinear switching devices in inductively coupled power transfer (ICPT) systems, a Jacobian matrix model, based on discrete mapping numerical modeling, is established to judge the system stability of the periodic closed orbit and to study the nonlinear behavior of Hopf bifurcation in a system under full resonance. The general flow of the parameter design, based on the stability principle for ICPT systems, is proposed to avoid the chaos and bifurcation phenomena caused by unreasonable parameter selection. Firstly, based on the state equation of SS-type compensation, a three-dimensional bifurcation diagram with the coupling coefficient as the bifurcation parameter is established with a numerical simulation to observe the nonlinear phenomena in the system. Then Filippov's method based on a Jacobian matrix model is adopted to deduce the boundary of stable operation and to judge the type of the bifurcation in the system. Then the general flow of the parameter design based on the stability principle for ICPT systems is proposed through the above analysis to realize stable operation under the conditions of weak coupling. Finally, an experimental platform is built to confirm the correctness of the numerical simulation and modeling.

흡기조건의 변화에 따른 공기조화용 회전재생기에 관한 실험적 연구 (An Experimental Study on the Rotary Regenerator for Air Conditioning according to Variable Inlet Conditions)

  • 이태우;조진호;서정일
    • 대한기계학회논문집
    • /
    • 제14권2호
    • /
    • pp.422-429
    • /
    • 1990
  • The experimental study investigates two aspects of counterflow sensible heat regenerator operation. First, it examines the regenerator performance in periodic steady state operation with spatially nonuniform inlet temperature in one of the fluid stream. Second, the study examines the transient response of a regenerator to a step change in the inlet temperature of one of the fluid streams. The effect of transient inlet temperatures is analyzed in terms of the response of the outlet fluid temperatures to a step change in temperature of one of the inlet fluid streams. The effect of temperature nonuniformities is analyzed in terms of the change of temperature nonuniformities is analyzed in terms of the change in steady state effectiveness due to a circumferential temperature distribution in one of the inlet fluid streams. an experimental analysis has been conducted using a counterflow, parallel passage, and rotary regenerator made from polyethylene film. Efficiencies follow similar trends with increasing matrix to fluid capacity rate ratio for the balanced and symmetric regenerator with nonuniform inlet temperature.