• Title/Summary/Keyword: Gauss method

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A study on position control of wheeled mobile robot using the inertial navigation system (관성항법시스템을 이용한 구륜 이동 로보트의 위치제어에 관한 연구)

  • 박붕렬;김기열;김원규;박종국
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1144-1148
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    • 1996
  • This paper presents WMR modelling and path tracking algorithm using Inertial Navigation System. The error models of gyroscope and accelerometers in INS are derived by Gauss-Newton method which is nonlinear regression model. Then, to test availability of error model, we pursue the fitness diagnosis about probability characteristic for real data and estimated data. Performance of inertial sensor with error model and Kalman filter is pursued by comparing with one without them. The computer simulation shows that position error remarkably decrease when error compensation is applied.

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Comparison of multigrid performance for higher order scheme with 5-point scheme

  • Han, Mun. S.;Kwak, Do Y.;Lee, Jun S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.2
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    • pp.135-142
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    • 2000
  • We consider a multigrid algorithm for higher order finite difference scheme for the Poisson problem on rectangular domain. Several smoothers including Jacobi, Red-black Gauss-Seidel are tested and compared. Since higher order scheme gives much more accurate result then 5-point scheme, one may use small number of levels with higher order scheme and thus the overall cost is reduced quite a lot. The numerical experiment compares the two cases.

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Shapriro-Francia W' Statistic Using Exclusive Monte Carlo Simulation

  • Rahman, Mezbahur;Pearson, Larry M.
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.2
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    • pp.139-155
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    • 2000
  • An exclusive simulation study is conducted in computing means for order statistics in standard normal variate. Monte Carlo moments are used in Shapiro-Francia W' statistic computation. Finally, quantiles for Shapiro-Francia W' are generated. The study shows that in computing means for order statistics in standard normal variate, complicated distributions and intensive numerical integrations can be avoided by using Monte Carlo simulation. Lack of accuracy is minimal and computation simplicity is noteworthy.

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Three-phase Load Flow using DistFlow Method (DistFlow Method를 이용한 삼상조류해석 알고리즘에 관한 연구)

  • Kwak, Do-Il;Kim, Tae-Eung;Kim, Jae-Eon
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.43-45
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    • 2000
  • Traditionally, load flows have been calculated using the Gauss-Seidel and Newton-Raphson Method. DistFlow Method which is proposed by Wu and Baran is superior to the other two methods because it does not require the admittance matrix calculation to optimize the distribution system. This paper introduces a new alternative algorithm to the DistFlow Method which is slow and complex to find solutions as the number of lateral and sublateral increases. The proposed load flow method can construct System Jacobian easily. We can minimize the off-diagonal elements of the branch Jacobian and submatrices in the System Jacobian. Simulation results show that progressive performances of the proposed algorithm.

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Pseudospectral Model Predictive Control for Exo-atmospheric Guidance

  • Rahman, Tawfiqur;Zhou, Hao;Yang, Liang;Chen, Wanchun
    • International Journal of Aeronautical and Space Sciences
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    • v.16 no.1
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    • pp.64-76
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    • 2015
  • This paper suggests applying pseudospectral model predictive method for exo-atmospheric guidance. The method is a fusion of pseudospectral law and model predictive control, in which a two point boundary value problem is formulated using model predictive approach and solved by applying pseudospectral law. In this work, the method is applied to exo-atmospheric guidance with specific target requirement. The existing exo-atmospheric guidance methods suffice general requirements for guidance, but cannot ensure specific target constraints; whereas, the presented method is able to do so. The proposed guidance law is assessed through simulation of perturbed cases, and the tests suggest that the method is able to operate semi-autonomously under control and thrust vector perturbations.

Elasto-plastic Finite Element Analysis of Hardening Materials Using Simplified Method (단순화법을 이용한 소성 경화재료에서의 탄.소성 구조물의 유한요소해석)

  • Kim, Byeong-Sam;Park, Kyoung-Woo;Sung, Ki-Suk;Yu, Geun-Yeal
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.596-601
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    • 2007
  • A simplified finite element analysis method is proposed to calculate elasto-plastic responses of general hardening materials. The method provides an effective tool to calculate structural elasto-plastic responses. Numerical examples have demonstrated that its computational efficiency is very much higher than that of the incremental elasto-plastic finite element analysis, and computational results are accurate enough to meet the need of engineering practice. Compared with the general elasto-plastic incremental finite element analysis, the proposed method can avoid the incremental iteration of nodal displacements and the constitutive equation integration at each Gauss integral point, and computational results are accurate enough to meet the need of engineering practice.

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A Improved Method of Determining Everett Function with Logarithm Function and Least Square Method

  • Hong, Sun-Ki
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.7
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    • pp.16-21
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    • 2008
  • For Preisach model, Everett function from the transient curves is needed to simulate the hysteresis phenomena. However it becomes very difficult to get the function if the it would be made only from experiments. In this paper, a simple and stable procedure using least square method and logarithm function to determine the Everett function which follows the Gauss distribution for interaction field axis is proposed. The characteristics of the parameters used in this procedure are also presented. The proposed method is applied to implement hysteresis loops. The simulation for hysteresis loop is compared with experiments and good agreements could be shown.

Analysis of Thermal Stresses During Solidification Process Using FVM/FEM Techniques (유한체적법과 유한요소법을 이용한 응고과정에서의 열응력해석)

  • 이진호;황기영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.1009-1018
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    • 1994
  • An attempt is made to develop a kind of hybrid numerical method for computations of the thermal stresses during a solidification process. In this algorithm, the phase-change heat transfer analysis is perrformed by a finite volume method(FVM) and the thermal stress analysis in a solidifying body by a finite element method(FEM). The temperatures at the grid points calculated in the heat transfer analysis are transferred to those of gauss points in elements by a bi-cubic surface patch technique for the thermal stress analysis. A hyperbolic-sine constitutive law is used to prescribe the inelastic strain rate of material. Results for the unidirectional solidification process of a pure aluminum are compared with those of others and shows good agreement.

Free Vibration Analysis of Beam-columns Resting on Pasternak Foundation by Differential Quadrature Method (미분구적법에 의한 Pasternak지반 위에 놓인 보-기둥의 자유진동 해석)

  • 이태은;이병구;강희종
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.957-962
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    • 2004
  • This paper deals with the free vibration analysis of beam-columns resting on Pasternak foundation by the Differential Quadrature Method. Based on the differential equation subjected to the boundary conditions, adopted from the open literature, which governs the free vibrations of such member, this equation is applied to the Differential Quadrature Method. For computing natural frequencies, the numerical procedures are developed by QR Algorithm, in which the Chebyshev-Gauss-Lobatto method is used for choosing the grid points. The numerical methods developed herein for computing natural frequencies are programmed in FORTRAN code, and all solutions obtained in this study are quite agreed with those in the open literature.

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