• Kyungpook Mathematical Journal
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• 제48권3호
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• pp.473-486
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• 2008

In this paper we generate a fuzzy dynamical matrix Lyapunov system and obtain a sufficient condition for the observability of this system.

• 대한수학회보
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• 제43권1호
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• pp.149-159
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• 2006

This paper presents necessary and sufficient conditions for complete controllability, complete observability and realizability associated with matrix Lyapunov systems under certain smoothness conditions.

• 한국정밀공학회지
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• 제14권4호
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• pp.64-71
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• 1997

Objective of calibration is to find out the accurate kinematic relationships between robot joint angles and the position of the end-effector by estimating accurate model parameters defining the kinematic function. Estimating the model parameters requires measurement of the end-effector position at a number of different robot configurations. This paper studies the implication of measurement configurations in robot calibration. For selecting appropriate measurement configurations in robot calibration, an index is defined to measure the observability of the model parameters with respect to a set of robot configurations. It is found that, as the observability index of the selected measurement configurations increase the attribution of the position errors to the parameter errors becomes dominant while the effects of the measurement and unmodeled errors are less significant; consequently better estimation of parameter errors is expected. To demonstrate the implication of the observability measure in robot calibration, computer simulations are performed and their results are discussed.

• 대한전기학회논문지
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• 제36권11호
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• pp.769-776
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• 1987

This paper deals with the topological observability analysis and the development of an observable island identification algorithm for state estimation in power systems, by using the incidence matrix and bus voltage grouping. An analogy of the DC power flow method to the DC circuit analysis is introduced, and all the relationships between power flows and phase angles are replaced by the corresponding current-voltage relation. As a result, a set of topological measurement equation expressed in the form of the incidince matrix is derived for the topological analysis, and the observability test is carried out by examining the rand of the measuremint matrix. The integer Gauss elimination method is introduced in the determination of matrix rand, so that the proposed observability test yields a precise observability criterion without any nearly-zero pivot problem encountered in the conventional algorithm. Also, an observable island identification algorithm reduced its computational time in comparision with the conventional algorithms. The proposed algorithms have been tested for sample systems, and their practicability has verified.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1996년도 하계학술대회 논문집 B
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• pp.1002-1004
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• 1996

In this paper, presented are the results of observability analysis for the vehicle maneuver during In-Flight Alignment of SDINS. The target system for observability analysis is 10th order one. Three trajectories for IFA are considered. To analyze the observability of the time varying system, correlation coefficient is used and to measure the degree of observability of the given system, simulation is carried out using covariance matrix. The results of simulation show that trajectories which are having continuous changes in attitude and acceleration of system is superior to straight trajectory in correcting navigation errors.

• 제어로봇시스템학회논문지
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• 제5권6호
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• pp.647-655
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• 1999

For linear time-varying systems described by the triple (A(t),B(t),C(t)) where A(t),B(t),C(t) are the system, the input, and the output matrices, respectively, we propose concepts for measures of modal and gross controllability /observability. We introduce a differential algebraic eigenbvalue theory for linear time-varying systems to calculate the PD-eigenvalues and left and right PD-eigenvectors of the system matrix A(t) which will be used to derive the concepts for the measures. The time-dependent angle between the left PD-eigenvectors of the system matrix A(t) and the columns of the input matrix B(t), and the magnitude of the each element of the input matrix B(t) are used to propose the modal controllability measure. Similarly, the time-dependent angle between the right PD-eigenvectors of the system matrix A(t) and the rows of the output matrix C(t) are used to propose the madal observability measure. Gross measure of controllability of a mode from all inputs and its gross measure of observability in all outputs for the linear time-varying systems are also proposed. Numerical examples are presented to illustrate the proposed concepts.

• 한국음향학회지
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• 제18권6호
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• pp.9-16
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• 1999

이 논문은 측정잡음이 큰 수동소나체계의 각도정보만을 이용한 표적기동분석(TMA ; Target Motion Analysis) 기법 연구의 일환으로서 표적의 상태변수를 추정하는 순차적 추정자로 수정이득확장칼만필터(MGEKF : Modified Gain Extended Kalman Filter)를 사용하며, 이 MGEKF의 초기화를 위해 비선형 batch estimation 알고리듬을 제안한다. 수동표적추적 시스템의 가관측성(observability) 해석을 바탕으로 시스템의 가관측성의 향상을 통해 TMA 성능을 개선시킬 수 있는 관측자의 기동을 결정하는 실용적이면서도 효과적인 방법을 제안한다. 또한 가관측성 확보가 어려운 초기단계의 TMA를 위해 관측자의 진행방향과 표적의 각도정보와 같은 기하학적 자료와 시스템의 가관측성과의 관계를 나타내는 engagement boundary를 산출하여 가관측성이 큰 기하학적 관계를 갖는 위치로 관측자를 선기동(pre-maneuver) 시키는 방법도 제시한다. 제시하는 TMA 기법의 성능을 시뮬레이션을 통해 입증한다.

• 한국항공우주학회지
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• 제38권3호
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• pp.236-242
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• 2010

위성항법시스템과 INS가 결합된 항법 시스템은 가용 위성이 없는 경우 항법 정보를 제공하지 못하는 단점이 있다. 이러한 단점을 극복하기 위해 비전센서를 결합한 항법 시스템이 대안으로 사용되지만, 일반적으로 특징점만 사용하여 항법을 수행하므로 가관측성이 부족한 문제점이 존재한다. 이때 사전에 위치가 알려져 있는 랜드마크를 추가적으로 사용하면 특징점만 이용하는 경우에 비해 가관측성을 향상 시킬 수 있다. 본 논문에서는 추가적인 랜드마크를 사용하는 경우에 대하여, TOM/SOM 분석과 고유치 분석을 통해 가관측성 향상 정도를 분석하였다. 시뮬레이션 결과 특징점만 사용하는 경우 항상 가관측성이 부족하나 랜드마크를 사용하는 경우 2번째 갱신과정 이후에는 완전 가관측한 특성을 보였다. 따라서 랜드마크를 사용하면 가관측성이 향상되므로 전체 시스템 성능을 향상시킬수 있다.

• Journal of Electrical Engineering and Technology
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• 제10권2호
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• pp.474-486
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• 2015

This paper proposes a multi-objective optimal placement method of Phasor Measurement Units (PMUs) in large electric transmission systems. It is proposed for minimizing the number of PMUs for complete system observability and maximizing measurement redundancy of the buses, simultaneously. The measurement redundancy of the bus indicates that number of times a bus is able to monitor more than once by PMUs set. A high level of measurement redundancy can maximize the system observability and it is required for a reliable power system state estimation. Therefore, simultaneous optimizations of the two conflicting objectives are performed using a binary coded firefly algorithm. The complete observability of the power system is first prepared and then, single line loss contingency condition is added to the main model. The practical measurement limitation of PMUs is also considered. The efficiency of the proposed method is validated on IEEE 14, 30, 57 and 118 bus test systems and a real and large- scale Polish 2383 bus system. The valuable approach of firefly algorithm is demonstrated in finding the optimal number of PMUs and their locations by comparing its performance with earlier works.

• 제어로봇시스템학회논문지
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• 제14권6호
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• pp.595-602
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• 2008

In this paper, performance of the initial alignment for INS whose attitude is not leveled is investigated. Observability of the initial alignment filter is analyzed and estimation errors of the estimated state variables are derived. First, the observability is analyzed using the rank test of observability matrix and the normalized error covariance of the Kalman filter based on the 10-state model. In result, it can be seen that the accelerometer biases on horizontal axes are unobservable. Second, the steady-state estimation errors of the state variables are derived using the observability equation. It is verified that the estimates of the state variables have errors due to the unobservable state variables and the non-leveling tilt angles of a vehicle containing the INS. Especially, this paper shows that the larger the tilt angles of the vehicle are, the larger the estimation errors corresponding to the sensor biases are. Finally, it is shown that the performance of the 8-state model excepting the accelerometer biases on horizontal axes is better than that of the 10-state model in the initial alignment by simulation.