• Title/Summary/Keyword: observability method

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Observers for linear descriptor systems with unmeasurable disturbances

  • Kawaji, Shigeyasu;Kim, Hwan-Seong
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.492-495
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    • 1995
  • A simple method to design observers for linear describtor systems with unmeasureable disturbance is represented by the response of a linear free system. The sufficient conditions for the existence of the observer are given. The design procedures of an identify and a minimal order observers are shown, respectively.

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A Measure of Electric Network Centrality Due to Multiple Contingencies (다중고장에 대한 전기 네트워크 구심성 척도)

  • Dosanoa, Rodel D.;Song, Hwa-Chang;Lee, Byong-Jun
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.286-287
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    • 2008
  • This paper proposes a power system blackout model and devises a method of identification and selection of higher-order contingencies that may threaten power system security. To study how failures spread in power grids, network observability based on topological concept is utilized which provide a means of monitoring network evolutions due to multiple contingencies. The simulations and results are presented using the IEEE 118-bus test system.

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Estimation of the First Modal Participation Factor of a Shear Building under Earthquake Load (지진하중을 받는 전단구조물의 1차 모드참여계수 산정)

  • Hwang, Jae-Seung;Kim, Hong-Jin;Kang, Kyung-Soo
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.1 s.41
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    • pp.25-32
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    • 2005
  • Seismic load is distributed to modes of a structure through the modal participation factor(MPF). The modal participation factor is essential to analyze structural response under earthquake load. MPF of a real structure differs from that of analytical mathematical model due to the error induced from analytical assumptions and during the construction. In this study, an identification method is proposed to calculate the 1st MPF of real structure based on $H^{\infty}$ optimal model reduction. The MPF is obtained from the relationship between observability and controllability matrices realized from system identification and those of a prototype 2-degree state space model. The proposed method is verified thorough numerical examples.

Partial Scan Performance Evaluation of Iterative Method of Testability Measurement(ITEM) (시험성 분석 기법(ITEM)의 부분 스캔 성능 평가)

  • 김형국;이재훈;민형복
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.11
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    • pp.11-20
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    • 1998
  • Testability analysis computes controllabilities and observabilities of all lines of a circuit and then evaluates fault coverage. The values of controllability and observability as well as fault coverage produced by testability analysis are used for applications of testability analysis. ITEM was evaluated as a fault coverage tool. But the values of controllability and observability at all lines of circuits must be estimated as a performance measure of testability tools for another application such as partial scan. In this paper, partial scan method based on sensitivity analysis which estimates relative improvement of detectability of circuits after scanning a flip-flop is used for performance evaluation of ITEM. Performance of ITEM, with respect to testability values on each net, has been measured by comparing ITEM and STAFAN. Partial scan performance achieved by ITEM is very similar to that of STAFAN, but ITEM takes less CPU time. Therefore ITEM is very efficient for partial scan application because ITEM runs faster for very large circuits in which execution time is critical.

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The Reduction of Pass Band Error in the Order Reduction of the Discrete Time Linear Systems (이산시간 선형 시스템의 차수 감소에 있어서 대역통과 오차 감소)

  • 김정화;정찬수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.1
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    • pp.11-19
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    • 1992
  • This paper proposes a reduced order method which reduces passband error by changing controllability and observability gramian based on weighted functions in the linear time invariant system. In the case that the 4-order model is the reduced to 3-order model in the low-pass filter, the QEI in the proposed method is improved to 6.15724 compared to 10.16464 in the balanced realization method and the sensitivity is improved to 5.45962 compared to 7.790568. The frequency property curves show that the proposed method is superior to the balanced realization method.

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Balanced Model Reduction for Linear Systems with State Delay (상태변수에 시간지연을 갖는 선형시스템의 균형화된 모델 차수 축소)

  • Yoo, Seog-Hwan
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.11
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    • pp.68-74
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    • 1998
  • This paper deals with a model reduction problem for the linear systems with state delay. After defining the controllability/observability Gramians, the concept of a balanced model for the linear systems with state delay is introduced. Based on solutions of linear matrix inequalities, the model reduction method with guaranteed error bounds is developed. In order to demonstrate the efficacy of teh suggested method, a numerical example is also performed.

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Optimal Selection of Master States for Order Reduction (동적시스템의 차수 줄임을 위한 주상태의 최적선택)

  • 오동호;박영진
    • Journal of KSNVE
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    • v.4 no.1
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    • pp.71-82
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    • 1994
  • We propose a systematic method to select the master states, which are retained in the reduced model after the order reduction process. The proposed method is based on the fact that the range space of right eigenvector matrix is spanned by orthogonal base vectors, and tries to keep the orthogonality of the submatrix of the base vector matrix as much as possible during the reduction process. To quentify the skewness of that submatrix, we define "Absolute Singularity Factor(ASF)" based on its singular values. While the degree of observability is concerned with estimation error of state vector and up to n'th order derivatives, ASF is related only to the minimum state estimation error. We can use ASF to evaluate the estimation performance of specific partial measurements compared with the best case in which all the state variables are identified based on the full measurements. A heuristic procedure to find suboptimal master states with reduced computational burden is also proposed. proposed.

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Measurement Time-Delay Error Compensation for Transfer Alignment (전달정렬의 측정치 시간지연 오차보상 기법)

  • Lim, You-Chol;Song, Gi-Won;Lyou, Joon
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.11
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    • pp.953-957
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    • 2001
  • This paper is concerned with a transfer alignment method for the SDINS under ship motions. Major error sources of transfer alignment are data transfer time-delay, lever-arm velocity and ship body flexure. Specifically, to reduce alignment errors induced by measurement time-delay effects, the error compensation method through delay state augmentation is suggested. A linearized error model for the velocity and attitude matching transfer alignment system is first derived by linearizing the nonliner measurement equation with respect to its time delay and augmenting the delay state into the conventional linear state equations. And then it is shown via observability analysis and computer simulations that the delay state can be estimated and compensated during ship motions resulting in considerably less alignment errors.

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A Robust Observer Design for Nonlinear MIMO Plants using Time-Delayed Signals

  • Lee, Jeong-Wan;Chang, Pyung-Hun
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.1
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    • pp.22-31
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    • 1999
  • In this paper, a robust observer design method for nonlinear multi input multi-output(MINO) plants is presented. This method enables the extension of the time delay observer (TDO) for nonlinear SISO plants in the phase variable form to MIMO plants. The designed TDO reconstructs the states of the plant expressed in the generalized observability canonical form (GOBCF), yet requiring neither the transformation of a plant, nor the real time computation coordinates, the observer turned out to be computationally efficient and easy to design for nonlinear MIMO plants. In a simulation of a two-link manipulator with flexible joints, the control performances using TDO appeared to be similar to those using actual states and superior to those using numerical differentiation. Finally, in an experiment with a robot, it was confirmed that the TDO reconstructs the states reliability and TDO can be effectively used in a real closed-loop system.

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Measurement Time-Delay Error Compensation For Transfer Alignment

  • Lim, You-Chol;Song, Ki-Won;Joon Lyou
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.486-486
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    • 2000
  • This paper is concerned with a transfer alignment method for the SDINS(StrapDown Inertial Navigation System) under ship motions. Major error sources of transfer alignment are data transfer time-delay, lever-arm velocity and ship body flexure. Specifically, to reduce alignment errors induced by measurement time-delay effects, the error compensation method through delay state augmentation is suggested. A linearized error model for the velocity and attitude matching transfer alignment system is first derived by linearizing the nonlinear measurement equation with respect to its time delay and augmenting the delay state into the conventional linear state equations. And then it is shown via observability analysis and computer simulations that the delay state can be estimated and compensated during ship motions resulting in considerably less alignment errors.

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