• 제목/요약/키워드: relative error

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선형 및 비선형 상대궤도운동 모델들의 정확도 분석 (Analysis of Linear and Nonlinear Relative Orbit Dynamics for Satellite Formation Flying)

  • 박한얼;박상영;이상진;최규홍
    • Journal of Astronomy and Space Sciences
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    • 제26권3호
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    • pp.317-328
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    • 2009
  • 위성의 상대운동 모델은 두 위성 사이의 상대적인 운동을 기술하며, 위성편대비행 연구의 기본이 된다. 이 연구에서는 선형 및 비선형 상대운동 모델들의 정확도를 산출하고 이를 비교 분석하였다. 우선 모델의 정확도를 나타내는 '모델링 오차 지수(Modeling Error Index)'를 정의하였다. 다양한 주위성 궤도의 이심률과 두 위성 사이의 거리에 대해 모델링 오차 지수를 계산하여, 여러 궤도환경에 따른 기존의 여러 가지 상대운동 모델들의 정확도를 산출하였다. 여러 가지 상대운동 방정식들의 모델링 오차 지수는 주위성의 이심률의 크기, J2 섭동 고려 여부, 위성들의 상대 거리의 크기에 따라 달라진다. 이 연구에서 사용한 상대운동 모델의 정확도는 편대비행 동역학모델의 오차를 나타내므로, 이 연구 결과를 이용해서 주어진 편대비행 임무에 알맞은 모델을 선택하는 것이 가능하다.

Are theoretically calculated periods of vibration for skeletal structures error-free?

  • Mehanny, Sameh S.F.
    • Earthquakes and Structures
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    • 제3권1호
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    • pp.17-35
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    • 2012
  • Simplified equations for fundamental period of vibration of skeletal structures provided by most seismic design provisions suffer from the absence of any associated confidence levels and of any reference to their empirical basis. Therefore, such equations may typically give a sector of designers the false impression of yielding a fairly accurate value of the period of vibration. This paper, although not addressing simplified codes equations, introduces a set of mathematical equations utilizing the theory of error propagation and First-Order Second-Moment (FOSM) techniques to determine bounds on the relative error in theoretically calculated fundamental period of vibration of skeletal structures. In a complementary step, and for verification purposes, Monte Carlo simulation technique has been also applied. The latter, despite involving larger computational effort, is expected to provide more precise estimates than FOSM methods. Studies of parametric uncertainties applied to reinforced concrete frame bents - potentially idealized as SDOF systems - are conducted demonstrating the effect of randomness and uncertainty of various relevant properties, shaping both mass and stiffness, on the variance (i.e. relative error) in the estimated period of vibration. Correlation between mass and stiffness parameters - regarded as random variables - is also thoroughly discussed. According to achieved results, a relative error in the period of vibration in the order of 19% for new designs/constructions and of about 25% for existing structures for assessment purposes - and even climbing up to about 36% in some special applications and/or circumstances - is acknowledged when adopting estimates gathered from the literature for relative errors in the relevant random input variables.

HARMONIC WAVELET TRANSFORM FOR MINIMIZING RELATIVE ERRORS IN SENSOR DATA APPROXIMATION

  • Kang Seonggoo;Yang Seunghoon;Lee Sukho;Park Sanghyun
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2005년도 Proceedings of ISRS 2005
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    • pp.276-279
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    • 2005
  • As the Ubiquitous generation approaches, the importance of the sensor data processing is growing. The data approximation scheme, one of the data processing methods, can be the key of sensor data processing, for it is related not only to the lifetime of sensors but also to the size of the storage. In this paper, we propose the Harmonic Wavelet transform which can minimize the relative error for given sensor data. Harmonic Wavelets use the harmonic mean as a representative which is the minimum point of the maximum relative error between two data values. In addition, Harmonic Wavelets retain the relative errors as wavelet coefficients so we can select proper wavelet coefficients that reduce the relative error more easily. We also adapt the greedy algorithm for local optimization to reduce the time complexity. Experimental results show the performance and the scalability of Harmonic Wavelets for sensor data.

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웨이브렛과 인테그라-노말라이저를 이용한 메트릭 (Metric Defined by Wavelets and Integra-Normalizer)

  • 김성수;박병섭
    • 대한전기학회논문지:시스템및제어부문D
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    • 제50권7호
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    • pp.350-353
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    • 2001
  • In general, the Least Square Error method is used for signal classification to measure distance in the $l^2$ metric or the $L^2$ metric space. A defect of the Least Square Error method is that it does not classify properly some waveforms, which is due to the property of the Least Square Error method: the global analysis. This paper proposes a new linear operator, the Integra-Normalizer, that removes the problem. The Integra-Normalizer possesses excellent property that measures the degree of relative similarity between signals by expanding the functional space with removing the restriction on the functional space inherited by the Least Square Error method. The Integra-Normalizer shows superiority to the Least Square Error method in measuring the relative similarity among one dimensional waveforms.

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Logistic Regression Type Small Area Estimations Based on Relative Error

  • Hwang, Hee-Jin;Shin, Key-Il
    • 응용통계연구
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    • 제24권3호
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    • pp.445-453
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    • 2011
  • Almost all small area estimations are obtained by minimizing the mean squared error. Recently relative error prediction methods have been developed and adapted to small area estimation. Usually the estimators obtained by using relative error prediction is called a shrinkage estimator. Especially when data set consists of large range values, the shrinkage estimator is known as having good statistical properties and an easy interpretation. In this paper we study the shrinkage estimators based on logistic regression type estimators for small area estimation. Some simulation studies are performed and the Economically Active Population Survey data of 2005 is used for comparison.

일정한 가반 하중이 작용하는 스카라 로봇에 대한 신경망을 이용한 기계적 처짐 오차 보상 제어 (Compensation Control of Mechanical Deflection Error on SCARA Robot with Constant Pay Load Using Neural Network)

  • 이종신
    • 제어로봇시스템학회논문지
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    • 제15권7호
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    • pp.728-733
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    • 2009
  • This paper presents the compensation of mechanical deflection error in SCARA robot. End of robot gripper is deflected by weight of arm and pay-load. If end of robot gripper is deflected constantly regardless of robot configuration, it is not necessary to consider above mechanical deflection error. However, deflection in end of gripper varies because that moment of each axis varies when robot moves, it affects the relative accuracy. I propose the compensation method of deflection error using neural network. FEM analysis to obtain the deflection of gripper end was carried out on various joint angle, the results is used in neural network teaming. The result by simulation showed that maximum relative accuracy reduced maximum 9.48% on a given working area.

GPS를 이용한 선간거리계의 정확도에 관한 연구 (A Study on the accuracy of Rangefinder between vessels by use of GPS)

  • 김광홍
    • 수산해양기술연구
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    • 제35권3호
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    • pp.215-226
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    • 1999
  • The experimented rangefinder consist of sets of V/A-Code GPS and sets of L1 C/A-code & carrier phase receivers connected by two spread spectrum radio modems in order to measure relative range and bearing between two ship antennas by real time, comparing and analyzing accuracy of both GPS receivers at the fix point on the land by means of executing zero baseline test by C/A code and by carrier phase as well as measuring distance range 5m, 10m, 15m between each other receivers. The results from the measurement of relative range and bearing are as follows as ;1. According to the results from zero baseline test, the average error by C/A-code receiver is less than 0.1m, which proves theories from published books but when each GPS receivers track different satellites, the range accuracy error becomes up to 100m by means of S/A. Because of this sudden wide range error, rangefinder is not appropriate at relative range measurement without additional modification of the algorism of the GPS receiver itself.2. According to relative range measurement by Carrier Phase and zero baseline test at static condition, the range error is less than 3.5cm in case that it passes more than 5 minutes after GPS sets can track simultaneously more than 6 satellites. Its main reason is understood that the phase center of antenna is bigger than geodetic antenna.3. When range measurement of two receivers from 5m, to 10m to 15m, the each range error is 0.340m, 0.190m, 0.011m and each standard variation is 0.0973m, 0.0884m, 0.0790m. The range error and standard variation are in inverse proportion to distance between two receivers. 4. L1 Carrier Phase GPS generally needs 5 minutes to fix and during this ambiguity search, the relative range and bearing angle is shown to be various.

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반응표면분석에서의 다반응 최적화 : 기대 상대오차제곱 추정치 가중합의 최소화에 의한 방법 (Multiresponse Optimization in Response Surface Analysis : A Method by Minimization of Weighted Sum of Estimates of Expected Squared Relative Errors)

  • 임성수;이우선
    • 품질경영학회지
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    • 제33권1호
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    • pp.73-82
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    • 2005
  • This article proposes a practical approach, which is based on the concept of the expected squared relative error, that can consider both the prediction quality and the practitioner's subjectivity in simultaneously optimizing multiple responses. Through a case study, multiresponse optimization using the expected squared relative error approach is illustrated, and the SAS program to implement the proposed method is provided.

평균제곱상대오차에 기반한 비모수적 예측 (A New Nonparametric Method for Prediction Based on Mean Squared Relative Errors)

  • 정석오;신기일
    • Communications for Statistical Applications and Methods
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    • 제15권2호
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    • pp.255-264
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    • 2008
  • 공변량 값이 주어졌을 때 반응변수의 값을 예측하는 데에는 평균제곱오차를 최소로 하는 것을 고려하는 것이 보통이지만, 최근 Park과 Shin (2005), Jones 등 (2007) 등에서 평균제곱오차대신 평균제곱상대오차에 기반한 예측을 연구한바 있다. 이 논문에서는 Jones 등 (2007)의 방법을 대체할 새로운 비모수적 예측법을 제안하고, 제안된 방법의 유효성을 뒷받침하는 간단한 모의실험 결과를 제공한다.

두가지 이산 반복제어 시스템의 해석 및 설계 (Analysis and design of two types of digital repetitive control systems)

  • 장우석;김군진;김준동;서일홍
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.1051-1059
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    • 1992
  • Two types of digital repetitive control systems are analyzed and designed to reduce the error spectrum including not only harmonic but also non-harmonic components. First, a novel gain scheduling algorithm is suggested for conventional and modified repetitive controller is scheduled to reduce the infinite norm of error in frequency domain. For this, the relative error transfer function is mewly defined as the ratio of the error spectrum for the system with a repetitive controller to the error spectrum for the system with a repetitive controller to the error spectrum for the system without a repetitive controller. Secondly, as an alternative of a repetitive control system with the gain scheduling, a repetitive control system with higher order repetitve function is analyzed and designed, where instead of equal weightings, weightings of the higher order repetitive function is determined in such a way that the infinite norm of relative error transfer function is minimized. To show the validities of proposed methods, computer simulation results are illustrated for a typical disk drive head positioning servo system.

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