• Title/Summary/Keyword: numerical errors

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A study on the chucking alignment error analysis in coaxial grinding of ferrule (페룰 동축연삭시 척킹 오차 해석)

  • 김동길;김영태;이상조
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.9-14
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    • 2002
  • Ferrule is widely used as fiber optic connecters. In fiber-optic communications, the shape accuracy such as coaxiality and cylindricity of ferrule affects insertion loss. When coaxial grinding of ferrule supported by two pin, pin alignment and chucking accuracy are very important. In this research, the kinematic behavior of the ferrule center is investigated in the case where cone-shaped center pins and round circle hales which make contact with each other near the edge of the holes, using homeogenous coordinate transformation and numerical analysis. The obtained results are as follows: The alignment errors between center pins alone do not affect the rotation accuracy of ferrule. The alignment errors between center holes cause a sinusoidal displacement of ferrule. And the maximum displacement of ferrule centers increase in proportion to the center pin angle in the case of a fixed alignment errors

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DEFAULT BAYESIAN INFERENCE OF REGRESSION MODELS WITH ARMA ERRORS UNDER EXACT FULL LIKELIHOODS

  • Son, Young-Sook
    • Journal of the Korean Statistical Society
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    • v.33 no.2
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    • pp.169-189
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    • 2004
  • Under the assumption of default priors, such as noninformative priors, Bayesian model determination and parameter estimation of regression models with stationary and invertible ARMA errors are developed under exact full likelihoods. The default Bayes factors, the fractional Bayes factor (FBF) of O'Hagan (1995) and the arithmetic intrinsic Bayes factors (AIBF) of Berger and Pericchi (1996a), are used as tools for the selection of the Bayesian model. Bayesian estimates are obtained by running the Metropolis-Hastings subchain in the Gibbs sampler. Finally, the results of numerical studies, designed to check the performance of the theoretical results discussed here, are presented.

Design of Experimental Test Tracks for Odometry Calibration of Wheeled Mobile Robots (차륜형 이동로봇의 오도메트리 보정을 위한 실험적 주행시험경로 설계)

  • Jung, Changbae;Moon, Changbae;Jung, Daun;Chung, Woojin
    • The Journal of Korea Robotics Society
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    • v.9 no.3
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    • pp.160-169
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    • 2014
  • Odometry using wheel encoder is a common relative positioning technique for wheeled mobile robots. The major drawback of odometry is that the kinematic modeling errors are accumulated when the travel distance increases. Therefore, accurate calibration of odometry is required. In several related works, various schemes for odometry calibration are proposed. However, design guidelines of test tracks for odometry calibration were not considered. More accurate odometry calibration results can be achieved by using appropriate test track because the position and orientation errors after the test are affected by the test track. In this paper, we propose the design guidelines of test tracks for odometry calibration schemes using experimental heading errors. Numerical simulations and experiments clearly demonstrate that the proposed design guidelines result in more accurate calibration results.

The development of generating reference trajectory algorithm for robot manipulator (로봇 제어를 위한 변형 기준 경로 발생 알고리즘의 개발)

  • 민경원;이종수;최경삼
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.912-915
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    • 1996
  • The computed-torque method (CTM) shows good trajectory tracking performance in controlling robot manipulator if there is no disturbance or modelling errors. But with the increase of a payload or the disturbance of a manipulator, the tracking errors become large. So there have been many researches to reduce the tracking error. In this paper, we propose a new control algorithm based on the CTM that decreases a tracking error by generating new reference trajectory to the controller. In this algorithm we used the concept of sliding mode theory and fuzzy system to reduce chattering in control input. For the numerical simulation, we used a 2-link robot manipulator. To simulate the disturbance due to a modelling uncertainty, we added errors to each elements of the inertia matrix and the nonlinear terms and assumed a payload to the end-effector. In this simulation, proposed method showed better trajectory tracking performance compared with the CTM.

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Three-Winning Transformer Protection Based on Flux Linkage Ratio (쇄교자속비를 이용한 3권선 변압기 보호)

  • 강용철;이병은;김은숙;원성호
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.53 no.7
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    • pp.375-381
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    • 2004
  • This paper describes a three-winding transformer protective relaying algorithm based on the ratio of increments of flux linkages (RIFL). To minimize the approximation errors, the algorithm uses integration approximation. The RIFL of the two windings is equal to the turns ratio for all operating conditions except for an internal fault. For a single-phase and three-phase transformer containing the wye-connected windings, the increments of flux linkages (IFL) are calculated. For a three-phase transformer containing the delta-connected windings, the difference of IFL between the two phases are calculated to use the line currents, because the winding currents are practically unavailable. Their ratios are compared with the turns ratio. The comparative study between the proposed and differential approximation methods was conducted. The test results show that the algorithm can reduce the errors resulting from the conventional methods.

A LOCAL-GLOBAL STEPSIZE CONTROL FOR MULTISTEP METHODS APPLIED TO SEMI-EXPLICIT INDEX 1 DIFFERENTIAL-ALGEBRAIC EUATIONS

  • Kulikov, G.Yu;Shindin, S.K.
    • Journal of applied mathematics & informatics
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    • v.6 no.3
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    • pp.697-726
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    • 1999
  • In this paper we develop a now procedure to control stepsize for linear multistep methods applied to semi-explicit index 1 differential-algebraic equations. in contrast to the standard approach the error control mechanism presented here is based on monitoring and contolling both the local and global errors of multistep formulas. As a result such methods with the local-global stepsize control solve differential-algebraic equation with any prescribed accuracy (up to round-off errors). For implicit multistep methods we give the minimum number of both full and modified Newton iterations allowing the iterative approxima-tions to be correctly used in the procedure of the local-global stepsize control. We also discuss validity of simple iterations for high accuracy solving differential-algebraic equations. Numerical tests support the the-oretical results of the paper.

Economic Selection of the Optimal Process Mean Using Sequential Inspection to Reduce the Effect of Measurement Errors (측정오차를 고려한 최적 공정평균의 경제적 설정 - 축차검사의 활용)

  • Park, Hwan-Su;Chang, Young-Soon
    • Journal of Korean Society for Quality Management
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    • v.34 no.2
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    • pp.12-21
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    • 2006
  • This paper considers the problem of selecting the most profitable process mean for production processes where measurement errors exist in inspection systems. For such situations, a sequential inspection procedure is proposed to reduce measurement errors. The decision to accept, reject, or take an additional inspection of an item is made at every measurement point until the number of repeated measurements reaches its upper bound. An expected profit model is constructed and the optimal process mean, the cut-off values, and the upper bound of the number of repeated measurements are obtained when accepted(rejected) items are sold at regular(reduced) price. A numerical study is performed to investigate the performance of the proposed procedure.

Identification of guideway errors in the end milling machine using geometric adaptive control algorithm (기하학적 적응제어에 의한 엔드밀링머시인의 안내면 오차 규명)

  • 정성종;이종원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.1
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    • pp.163-172
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    • 1988
  • An off-line Geometric Adaptive Control Scheme is applied to the milling machine to identify its guideway errors. In the milling process, the workpiece fixed on the bed travels along the guideway while the tool and spindle system is fixed onto the machine. The scheme is based on the exponential smoothing of post-process measurements of relative machining errors due to the tool, workpiece and bed deflections. The guideway error identification system consists of a gap sensor, a, not necessarily accurate, straightedge, and the numerical control unit. Without a priori knowledge of the variations of the cutting parameters, the time-varying parameters are also estimated by an exponentially weighted recursive least squares method. Experimental results show that the guideway error is well identified within the range of RMS values of geometric error changes between machining passes disregarding the machining conditions.

Robust Adaptive Observer Design for a Class of Nonlinear Systems via an Optimization Method (최적화 기법에 의한 비선형 시스템에서의 강인한 적응 관측기 설계)

  • Jung Jong-Chul;Huh Kun-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.10 s.253
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    • pp.1249-1254
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    • 2006
  • Existing adaptive observers may cause the parameter drifts due to disturbances even if state estimation errors remain small. To avoid the drift phenomena in the presence of bounded disturbances, several robust adaptive observers have been introduced addressing bounds in state and parameter estimates. However, it is not easy for these observers to manipulate the size of the bounds with the selection of the observer gain. In order to reduce estimation errors, this paper introduces the (equation omitted) gain minimization problem in the adaptive observer structure, which minimizes the (equation omitted) gain between disturbances and estimation errors. The stability condition of the adaptive observer is reformulated as a linear matrix inequality, and the observer gain is optimally chosen by solving the convex optimization problem. The estimation performance is demonstrated through a numerical example.

A study on design of spherical hob for internal gear hobbing (내접치차 가공용 구형 호브의 설계에 관한 연구)

  • 박천경;박동삼
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.6
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    • pp.1312-1319
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    • 1988
  • Internal gear is the important part of the planetary reduction gear system. This study aims at developing the numerical analysis method for design of spherical hob to manufacture internal gear. Methods of calculation of hob tooth profile, generating tooth profile and tooth profile errors such as the errors of pressure angle, tooth thickness and pitch of spherical hob must be made smaller than those of standard tooth profile. And, the smaller the pressure angle and the number of equivalent pinion tooth become, the larger the tooth profile errors are. One design example of spherical hob is proposed.