• Title/Summary/Keyword: 상태 행렬

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Optimal Fuzzy Filter for Nonlinear Systems with Variance Constraints (분산 제약을 갖는 비선형 시스템의 최적 퍼지 필터)

  • Noh, Sun-Young;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.5
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    • pp.549-554
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    • 2012
  • In this paper, we consider the optimal fuzzy filter of nonlinear discrete-time with estimation error variance constraint. First, the Takagi and Sugeno(T-S) fuzzy model is employed to approximate the nonlinear system. Next, the error state is mean square bounded, and the steady state variance of the estimation error of each state is not more than the individual predefined value. It is shown that, the addressed problem can be carried out by solving linear matrix inequality(LMI) and some algebraic quadratic matrix inequalities. Finally, some examples are provided to illustrate the design procedure and expected performance through simulations.

Weighting Matrices of LQR and ILQR Controllers Considering Structural Energy (구조물의 에너지를 고려한 LQR 및 ILQR제어기의 가중행렬)

  • 민경원;이영철;박민규
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.6
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    • pp.49-53
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    • 2002
  • This paper provides the systematic procedure to determine the weighting matrices of optimal controllers considering structural energy. Optimal controllers consist of LQR and ILQR. The weighting matrices are needed first in the conventional optimal control design strategy. However, they are in general dependent on the experienced knowledge of control designers. Applying the Lyapunov function to total structural energy and using the condition that its derivative is negative, we can determine the weighting matrices without difficulty. It is proven that the control efficiency with using determined weighting matrices is achieved well for LQR and ILQR controllers.

A Queue Length Prediction Algorithm using Kalman Filter (Kalman Filter를 활용한 대기행렬예측 알고리즘 개발)

  • 심소정;이청원;최기주
    • Journal of Korean Society of Transportation
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    • v.20 no.5
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    • pp.145-152
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    • 2002
  • Real-time queueing information and/or predictive queue built-up information can be a good criterion in selecting travel options, such as routes, both for users, and for operators in operating transportation system. Provided properly, it will be a key information for reducing traffic congestion. Also, it helps drivers be able to select optimal roues and operators be able to manage the system effectively as a whole. To produce the predictive queue information, this paper proposes a predictive model for estimating and predicting queue lengths, mainly based on Kalman Filter. It has a structure of having state space model for predicting queue length which is set as observational variable. It has been applied for the Namsan first tunnel and the application results indicate that the model is quite reasonable in its efficacy and can be applicable for various ATIS system architecture. Some limitations and future research agenda have also been discussed.

Polarity Verification of Direction Cosine Matrix of Gyro Sensor Using The Earth Rotational Rate (지구 회전 각속도를 이용한 자이로센서의 방향코사인행렬 극성검증)

  • Oh, Shi-Hwan;Kim, Jin-Hee
    • Aerospace Engineering and Technology
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    • v.10 no.2
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    • pp.49-55
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    • 2011
  • A Direction Cosine Matrix (DCM) of each satellites sensor/actuator which contains an directional information of sensor/actuator is implemented in the on-board flight software. In order to verify the polarity of direction cosine matrix, it is mostly used that an actual sensor/actuator output is compared with the expected output value which responses to the pre-defined external stimulus to the sensor/actuator. For the gyro sensors, the Earth rotational rate can be used as an external input for the polarity verification of DCM, without using an artificial stimulus. In this study, the polarity of gyro DCM is checked and verified using the several test data which have been acquired during the different system level test phases. Finally the polarity of DCM was successfully verified using the Earth rotational rate.

Efficient Dynamic Analysis of Tall Buildings with Viscoelastic Dampers (점탄성 감쇠기가 설치된 고층건물의 효율적인 동적 해석)

  • 김상태;홍성일;이동근
    • Journal of the Earthquake Engineering Society of Korea
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    • v.1 no.3
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    • pp.11-19
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    • 1997
  • In this paper, an efficient dynamic analysis method of a building structure with viscoelastic dampers is proposed. Viscoelastic dampers are used for the purpose of controlling vibration of buildings. The matrix condensation technlque based on the rigid diaphragm assumption is not readily applicable for building structures with viscoelastic dampers. An improved procedure for damping matrix condensation is employed in the proposed method to increase the efficiency of analysis. Efficiency and accuracy of the proposed method are verified through analysis of an example structure.

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Robust tracking control for uncertain linear systems using linear matrix inequlities (선형행렬 부등식을 이용한 불확실한 선형시스템에 대한 강인 추적제어기)

  • Lee, Jae-Won;Kwon, Wook-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.3
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    • pp.289-294
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    • 1998
  • 본 논문에서는 상태행렬과 입력행렬에 시변 불확실성이 있는 선형시스템에 대한 강인 추적 제어기를 제안한다. 본 논문에서 대상으로 하는 불확실성은 block-diagonally structured uncertainty와 norm bounded uncertainty인데 모두 정합 조건을 만족시킬 필요는 없다. 폐루프 시스템이 불확실성하에서 안정할 수 있는 조건을 제시하고 이 조건이 선형행렬 부등식으로 나타낼 수 있음을 보인다. 추적 오차를 줄이고 오차 감소 비율을 증가시킬 수 있는 최적화 방법도 제아한다. 또한 불확실성의 크기가 0으로 줄어들면 추적 오차도 0으로 줄어듬을 보인다.

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Nonproportional viscous damping matrix identification using frequency response functions (주파수 응답 데이터를 이용한 비비례 점성감쇠행렬 추정)

  • Min, Cheon-Hong;Kim, Hyung-Woo
    • Journal of Advanced Marine Engineering and Technology
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    • v.40 no.4
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    • pp.369-373
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    • 2016
  • Accurate identification of damping matrix in structures is very important for predicting vibration responses and estimating parameters or other characteristics affected by energy dissipation. In this paper, damping matrix identification method that use normal frequency response functions, which were estimated from complex frequency response functions, is proposed. The complex frequency response functions were obtained from the experimental data of the structure. The nonproportional damping matrix was identified through the proposed method. Two numerical examples (lumped-mass model and cantilever beam model) were considered to verify the performance of the proposed method. As a result, the damping matrix of the nonproportional system was accurately identified.

Ground State Computation of Interacting Fermion Systems by using Advanced Stochastic Diagonalization (진보된 혼돈 대각화 방법을 이용한 상호작용하는 페르미온 계의 기저상태 계산)

  • Ahn, Sul-Ah;Cho, Myoung Won
    • Proceedings of the Korea Contents Association Conference
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    • 2007.11a
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    • pp.209-211
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    • 2007
  • The computational time of Stocahstic Diagonalization (SD) calculation for 2-dimensional interacting fermion systems is reduced by using several methods including symmetry operations. First, each lattice is subdivided into spin-up and spin-down lattices separately, thus allowing a bi-partite lattice. A valid basis state is then obtained from stacking up an up-spin configuration on top of a down-spin configuration. As a consequence, the memory space to be used in saving the trial basis state reduces significantly. Secondly, the matrix elements of a Hamiltonianin are reconrded in a look-up table when making basis state set. Thus the repeated calculation of the matrix elements of the Hamiltonian are avoided during SD process. Thirdly, by applying symmetry operations to the basis state set the original basis state is transformed to a new basis state whose elements are the eigenvectors of the symmetry operations. The ground state wavefunction is constructed from the elements of symmetric - bonding state - basis state set. As a result, the total number of basis states involved in SD calculation is reduced upto 50 percentage by using symmetry operations.

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A Study on Synthetic OD Estimation Model based on Partial Traffic Volumes and User-Equilibrium Information

  • Cho, Seong-Kil
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.7 no.5
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    • pp.180-183
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    • 2008
  • This research addresses the problem of estimating Origin-Destination (O-D) trip matrices from link volume counts, a set of unobserved link volumes and information of user equilibrium flows in transportation networks. A heuristic algorithm for estimating unobserved link flows is derived, which provides volume estimates that are approximately consistent with both observed flows and an assumption of user equilibrium conditions. These estimated link volumes improve the constraints associated with the synthetic OD estimation model, providing improved solution search procedure. Model performance is tracked in terms of the root mean square errors (RMSE) in predicted travel demands, and where appropriate, predicted linked volumes. These results indicate that the new model substantially outperforms existing approaches to estimating user-equilibrium based synthetic O-D matrices.

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Synthesis of Symmetric 1-D 5-neighborhood CA using Krylov Matrix (Krylov 행렬을 이용한 대칭 1차원 5-이웃 CA의 합성)

  • Cho, Sung-Jin;Kim, Han-Doo;Choi, Un-Sook;Kang, Sung-Won
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.6
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    • pp.1105-1112
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    • 2020
  • One-dimensional 3-neighborhood Cellular Automata (CA)-based pseudo-random number generators are widely applied in generating test patterns to evaluate system performance and generating key sequence generators in cryptographic systems. In this paper, in order to design a CA-based key sequence generator that can generate more complex and confusing sequences, we study a one-dimensional symmetric 5-neighborhood CA that expands to five neighbors affecting the state transition of each cell. In particular, we propose an n-cell one-dimensional symmetric 5-neighborhood CA synthesis algorithm using the algebraic method that uses the Krylov matrix and the one-dimensional 90/150 CA synthesis algorithm proposed by Cho et al. [6].