• Title/Summary/Keyword: Least square approximation

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Empirical model of over-all ship's magnetism (총체적 선체현장의 실험모델)

  • 박길현;정태권;이상집
    • Journal of the Korean Institute of Navigation
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    • v.13 no.3
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    • pp.1-20
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    • 1989
  • In order to provide a basic information to locate the sensor of remote-indicating magnetic compass onboard, an empirical model for the over-all ship's magnetism was developed based on the periodicity of the observed magnetic field around the vessels. The values of model parameters were determined by least-square method and optimum numbers of them were fixed using Akaike's information criterion theory, and also an approximation method to determine parameter was proposed based on the symmetrical characteristic of observed data versus ship's length. The confidence level of the newly developed models was tested by analysis of variance method. The agreement between the modelled and real values was found to be remarkably accurate.

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Development of finite 'crack' element (균열 유한 요소의 개발)

  • 조영삼;전석기;임세영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.381-388
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    • 2004
  • We propose a 2D 'crack' element for the simulation of propagating crack with minimal remeshing. A regular finite element containing the crack tip is replaced with this novel crack element, while the elements which the crack has passed are split into two transition elements. Singular elements can easily be implemented into this crack element to represent the crack-tip singularity without enrichment. Both crack element and transition element proposed in our formulation are mapped from corresponding master elements which are commonly built using the moving least-square (MLS) approximation only in the natural coordinate. In numerical examples, the accuracy of stress intensity factor K/sub I/ is demonstrated and the crack propagation in a plate is simulated.

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Robot localization and calibration using Ultrasonic and Ratio Frequency (초음파 및 무선 통신 파를 이용한 자기 위치와 비컨 위치 인식 시스템)

  • Yoon J.Y.;Jung K.S.;Shin D.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1040-1044
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    • 2005
  • This paper presents a method for the robot localization and calibration using the ultrasonic and the radio frequency. The distance between the receiver and a beacon can be computed by using the difference between times of flight. The presented method uses the gradient of the maximum amplitude of the ultrasonic in order to measure the time of flight precisely. The measured three distances between the receiver and the beacon are used to compute the robot position by the direct inverse method and the iterated least square approximation method. This paper is defined the calibration as the problem to find the location of 3 beacons and 3 robots, and presents 3 methods for it and found the 2B2R method as the best among them.

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A Study on the Vision-Based Inspection System for Ball-Stud (비전을 이용한 볼-스터드 검사 시스템에 관한 연구)

  • 장영훈;권태종;한창수;문영식
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.7-13
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    • 1998
  • In this paper, an automatic ball-stud inspection system has been developed using the computer-aided vision system. Index table has been used to get the rapid measurement and multi-camera has been used to get the high resolution in physical system. Camera calibration was suggested to perform the reliable inspection. Image processing and data analysis algorithms for ball stud inspection system have been investigated and were performed quickly with high accuracy. As a result, inspection system of a ball stud could be used with a high resolution in real time.

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A Study of the B/STUD Inspection System Using the Vision System (비전을 이용한 B/STUD 검사 시스템에 관한 연구)

  • 장영훈;한창수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.1120-1123
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    • 1995
  • In this paper, an automatic B/STUD inspection system has been developed using the computer aided vision system. Index Table has been used to get the rapid measurement and multi-camera has been used to get the high resolution in mechanical system. Camera calibration was suggested to perform the reliable Inspection. Image processing and data analysis algorithms for B/STUD inspection system has been investigated and were performed quickly with high accuracy. As a result, Inspection system of a B/STUD can be measured with a high resolution in real time.

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Development of a Modified CFS Method in Forward-Link AOA Positioning (순방향 링크 AOA 측정치를 이용한 CFS 방법의 성능 개선)

  • Im, Hyun-Ja;Park, Ji-Won;Song, Seung-Hun;Sung, Tae-Kyung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.3
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    • pp.639-644
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    • 2009
  • This paper presents a modified CFS (Closed-Form Solution) for FLAOA (Forward Link AOA) measurements. During when the pseudo-measurement equation for FLAOA is derived, the angle measurement noise is treated more carefully in approximation. As the covariance matrix of the pseudo-measurement noise is influenced by unknown user positions and azimuth, a two-step estimation technique is used in the proposed CFS. The performance of the proposed CFS for FLAOA is compared to that of the conventional CFS for FLAOA and RLAOA (Reverse Link AOA) in a computer simulation. Simulation results show that the proposed method is potentially suitable for applications involving the localization and guidance of indoor mobile robots.

A POINT COLLOCATION SCHEME FOR THE STATIONARY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

  • Kim, Yongsik
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1737-1751
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    • 2013
  • An efficient and stable point collocation scheme based on a meshfree method is studied for the stationary incompressible Navier-Stokes equations. We describe the diffuse derivatives associated with the moving least square method. Using these diffuse derivatives, we propose a point collocation method to fit in solving the Navier-Stokes equations which improves the stability of the direct point collocation scheme. The convergence of the numerical solution is investigated from numerical examples. The driven cavity ow and the backward facing step ow are implemented for the reliability of the scheme. Also, the viscous ow on complicated geometry is successfully calculated such as the ow past a circular cylinder in duct.

Wave propagation in functionally graded composite cylinders reinforced by aggregated carbon nanotube

  • Moradi-Dastjerdi, Rasool
    • Structural Engineering and Mechanics
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    • v.57 no.3
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    • pp.441-456
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    • 2016
  • This work reports wave propagation in the nanocomposite cylinders that reinforced by straight single-walled carbon nanotubes based on a mesh-free method. Moving least square shape functions have been used for approximation of displacement field in weak form of motion equation. The straight carbon nanotubes (CNTs) are assumed to be oriented in specific or random directions or locally aggregated into some clusters. In this simulation, an axisymmetric model is used and also the volume fractions of the CNTs and clusters are assumed to be functionally graded along the thickness. So, material properties of the carbon nanotube reinforced composite cylinders are variable and estimated based on the Eshelby-Mori-Tanaka approach. The effects of orientation, aggregation and volume fractions of the functionally graded clusters and CNTs on dynamic behavior of nanocomposite cylinders are studied. This study results show that orientation and aggregation of CNTs have significant effects on the effective stiffness and dynamic behaviors.

Robust Adaptive Control of Autonomous Robot Systems with Dynamic Friction Perturbation and Its Stability Analysis (동적마찰 섭동을 갖는 자율이동 로봇 시스템의 강인적응제어 및 안정성 해석)

  • Cho, Hyun-Cheol;Lee, Kwon-Soon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.1
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    • pp.72-81
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    • 2009
  • This paper presents a robust adaptive control method using model reference control strategy against autonomous robot systems with random friction nature. We approximate a nonlinear robot system model by means of a feedback linearization approach to derive nominal control law. We construct a Least Square (LS) based observer to estimate friction dynamics online and then represent a perturbed system model with respect to approximation error between an actual friction and its estimation. Model reference based control design is achieved to implement an auxiliary control in order for reducing control error in practice due to system perturbation. Additionally, we conduct theoretical study to demonstrate stability of the perturbed system model through Lyapunov theory. Numerical simulation is carried out for evaluating the proposed control methodology and demonstrating its superiority by comparing it to a traditional nominal control method.

A Design of 2-D Optimal Approximation FIR Digital Filter using Parks-McClellan Algorithm (Parks MeClellan 알고리듬을 이용한 이차원 최적 근사화 FIR 디지털 필터의 실시간 구현)

  • 윤형태;이근영
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.5
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    • pp.18-26
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    • 1993
  • This paper presents the design method for two-dimensional FIR digital filter using optimization scheme. The proposed design method is to extend the optimal one-dimensional filter design algorithm proposed by Parks and McClellan to two-dimensional case. When extending one-dimensional design scheme to two-dimensional one, some problems occur. In this paper we solved the problems by using the least square error model, the two-dimensional Lagrange interpolation, and the modified alternation theory. As a result, the equi-ripple FIR filter is obtained that is more optimal and more specific than the conventional methods.

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