• 제목/요약/키워드: Weighting Function Matrix

검색결과 41건 처리시간 0.026초

Neural Network Image Reconstruction for Magnetic Particle Imaging

  • Chae, Byung Gyu
    • ETRI Journal
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    • 제39권6호
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    • pp.841-850
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    • 2017
  • We investigate neural network image reconstruction for magnetic particle imaging. The network performance strongly depends on the convolution effects of the spectrum input data. The larger convolution effect appearing at a relatively smaller nanoparticle size obstructs the network training. The trained single-layer network reveals the weighting matrix consisting of a basis vector in the form of Chebyshev polynomials of the second kind. The weighting matrix corresponds to an inverse system matrix, where an incoherency of basis vectors due to low convolution effects, as well as a nonlinear activation function, plays a key role in retrieving the matrix elements. Test images are well reconstructed through trained networks having an inverse kernel matrix. We also confirm that a multi-layer network with one hidden layer improves the performance. Based on the results, a neural network architecture overcoming the low incoherence of the inverse kernel through the classification property is expected to become a better tool for image reconstruction.

LQ-servo를 이용한 강인한 PI제어기 설계 (Robust PI controller design using LQ-servo)

  • 이동영;윤성오;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.577-580
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    • 1996
  • LQ-servo is a stability-robustness guaranteed multivariable controller design method based on the LQR structure to improve command following performance with output feedback. In this paper, a new type of PI controller based on LQ-servo is introduced. Then, Command following performance is improved using the limiting behavior of the control gain and weighting factors on the low frequency part of design parameter Q that is the state weighting matrix in the cost function.

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주파수 응답함수를 이용한 구조 파라메터 예측 (Identification of Structural Parameters from Frequency Response Functions)

  • 김규식;강연준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.863-869
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    • 2007
  • An improved method based on a normal frequency response function (FRF) is proposed to identify structural parameters such as mass, stiffness and damping matrices directly from the FRFs of a linear mechanical system. The method for estimating structural parameters directly from the measured FRFs of a structure is presented. This paper demonstrates that the characteristic matrices are extracted more accurately by using a weighted equation and eliminating the matrix inverse operation. The method is verified for a four degree-of-freedom lumped parameter system and an eight degree-of-freedom finite element beam. Experimental verification is also performed for a free-free steel beam whose size and physical properties are the same as those of the finite element beam. The results show that the structural parameters, especially the damping matrix, can be estimated more accurately by the proposed method.

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자기베어링을 이용한 회전축의 최적제어 및 강건제어 (Optimal Control and Robust Control of Rotating Shaft Using Magnetic Bearings)

  • 강호식;정남희;윤일성;송오섭
    • 한국소음진동공학회논문집
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    • 제14권12호
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    • pp.1330-1337
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    • 2004
  • In this study, the equations of motion of a rigid rotor supported by magnetic bearings are derived via Hamilton's principle, and transformed to a state-space form for control purpose. The optimal motion control of rotor magnetic bearing system based on the LQR(linear quadratic regulator) theory is addressed. New schemes related to the selection of the state weighting matrix Q and the control weighting matrix R involved in the quadratic functional to be minimized are proposed. And the robust control of the system with an LMI(linear matrix inequality) based H$_{\infty}$ theory is dealt with in this paper. Loop shapings of TFM (transfer function matrix) are used to increase the performance of control capability of the system. The control abilities of LQR and H$_{\infty}$ controller are compared by simulation and experimental tests and show that the capability of H$_{\infty}$ controller is superior to that of LQR.

LQ 제어와 근의 이동범위를 이용한 중근의 극배치 방법 (Pole Placement Method of a Double Poles Using LQ Control and Pole's Moving-Range)

  • 박민호
    • 한국산학기술학회논문지
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    • 제21권1호
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    • pp.20-27
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    • 2020
  • 일반적으로 비선형 시스템은 1차와 2차 시스템의 곱의 형태로 선형화되며, 시스템은 실근, 중근, 서로 다른 두 실근, 복소근의 4종류의 근을 가진다. 이 논문은 시스템이 가지는 4가지 근 중에서 조단블록을 갖는 중근을 복소근으로 이동시키는 LQ 제어의 가중행렬과 제어법칙을 설계하는 방법에 관한 것이다. 상태가중행렬을 제한 조건으로 하고 성능지수함수를 최소화하는 LQ 제어는 시스템의 안정성을 보장하고 시스템의 근을 이동시키는 극배치 기능을 가지고 있다. 그렇지만 이 방법은 시행착오 방법으로 설계 변수인 가중행렬을 설정하고, 이동되는 근의 위치를 정확히 지정할 수 없는 문제가 있다. 이 문제를 해결하기 위해 해밀토니안 시스템의 특성방정식을 대각행렬의 제어가중행렬과 삼각함수로 표현된 상태가중행렬을 이용하여 기술한다. 이동할 복소근이 이 특성방정식의 근이라는 조건에서 중근과 상태가중행렬의 관계식(𝜌, 𝜃)을 유도하고 상태가중행렬이 양의 반한정행렬이라는 조건에서 중근의 이동범위를 구하고, 좌표평면에 도시한다. 그려진 중근의 이동범위에서 복소근을 선택하여 관계식에 대입하여 상태가중행렬을 계산하고, 이것에서 제어법칙이 구한다. 예제에서 3차 시스템의 중근을 이동시키는 제어법칙의 설계과정을 통해 제안한 방법의 타당성을 확인하였다.

RC structural system control subjected to earthquakes and TMD

  • Jenchung Shao;M. Nasir Noor;P. Ken;Chuho Chang;R. Wang
    • Structural Engineering and Mechanics
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    • 제89권2호
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    • pp.213-223
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    • 2024
  • This paper proposes a composite design of fuzzy adaptive control scheme based on TMD RC structural system and the gain of two-dimensional fuzzy control is controlled by parameters. Monitoring and learning in LMI then produces performance indicators with a weighting matrix as a function of cost. It allows to control the trade-off between the two efficiencies by adjusting the appropriate weighting matrix. The two-dimensional Boost control model is equivalent to the LMI-constrained multi-objective optimization problem under dual performance criteria. By using the proposed intelligent control model, the fuzzy nonlinear criterion is satisfied. Therefore, the data connection can be further extended. Evaluation of controller performance the proposed controller is compared with other control techniques. This ensures good performance of the control routines used for position and trajectory control in the presence of model uncertainties and external influences. Quantitative verification of the effectiveness of monitoring and control. The purpose of this article is to ensure access to adequate, safe and affordable housing and basic services. Therefore, it is assumed that this goal will be achieved in the near future through the continuous development of artificial intelligence and control theory.

LQR방법에 의한 PID제어기 동조 - 시간영역에서의 접근 (PID Controller Tuning Using LQR method - Time domain approach)

  • 양지훈;서병설
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 합동 추계학술대회 논문집 정보 및 제어부문
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    • pp.3-6
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    • 2001
  • This paper presents optimal robust PID controller design method for second order systems to satisfy the design specifications in time domain. The parameters of PID controller are determinated by the weighting factors Q and R of cost function. It is suggested that the selection of Q and R matrix can be determinated by its relationship with the natural frequency of ITAE criterion.

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이산 선형 시스템의 등가 모델 변환에 관한 연구 (A Studyon the Equivalent Model Transformation of the Discrete Linear Systems)

  • 임승우;김정화;정찬수
    • 한국통신학회:학술대회논문집
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    • 한국통신학회 1991년도 추계종합학술발표회논문집
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    • pp.215-219
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    • 1991
  • This paper is equivalent model transform which reduces the restriction of digitalization in the discrete linear system. This algorithm is the method that weight is given to contribillity and obserbility gramian, the regular matrix T of coordinate transform is obtained and then the state space coefficents of weighted model can be obtained. This study shows the frequency reponse of low quantization error according to the order of weighting function. The result shows that frequency response of the proposed algorithm is better than that of the balanced realization in the system of smaller bit.

확률적 가진압력을 받는 건축구조물의 최대응답 제한을 위한 선형이차안정기의 최적설계 (Optimal Design of Linear Quadratic Regulator Restrict Maximum Responses of Building Structures Subject to Stochastic Excitation)

  • 박지훈;황재승;민경원;조소훈
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2001년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall 2001
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    • pp.373-380
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    • 2001
  • In this research, a controller design method based on optimization is proposed that can satisfy constraints on maximum responses of building structures subject to ground excitation modeled by partially stationary stochastic process. The class of controllers to be optimized is restricted to LQR. Weighting matrix on controlled outputs is used as design variable. Objective function constraint functions and their gradients are computed parameterizing control gain with Riccati matrix. Full state feedback controllers designed by Proposed optimization method satisfy various design objectives and their necessary maximum control forces are computed fur the production of actuator. Probabilities of maximum responses match statistical data from simulation results well.

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비대칭 로터-자기베어링 시스템의 LMI에 기초한 $H_\infty$ 강건제어 (LMI-based $H_\infty$ Robust Control of Asymmetric Rotor-magnetic Bearing System)

  • 강호식;송오섭
    • 한국소음진동공학회논문집
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    • 제13권3호
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    • pp.172-179
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    • 2003
  • Linear matrix Inequality based $H_\infty$ robust controller is designed to control the motion of a 4-axis unbalanced rigid asymmetric rotor supported and controlled by two active magnetic bearings in this paper. To this end, the equations of motion of the system are derived via Hamilton's variational principle and transformed to a state-space form for the standard $H_\infty$ control problem. LMI-based controller, which does not require additional assumptions beyond the usual stabilizability and detectability assumptions, is designed based upon the pole place weighting function and loopshaping technique. The obtained results are compared with those reported in the available literature and the efficiency of the proposed LMI-based $H_\infty$ control is revealed.