• Title/Summary/Keyword: Curve Fitting

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ECAM Control System Based on Auto-tuning PID Velocity Controller with Disturbance Observer and Velocity Compensator

  • Tran, Quang-Vinh;Kim, Won-Ho;Shin, Jin-Ho;Baek, Woon-Bo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.2
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    • pp.113-118
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    • 2010
  • This paper proposed an ECAM (Electronic cam) control system which has simple and general structure. The proposed cam controller adopted the linear and polynomial curve-fitting method to generates a smooth cam profile curve function. Smooth motion trajectory of master actuator guarantees the good performance of slave motion and has an important effect on the interpolation quality of ECAM. The auto-tuning PID velocity controller was applied to overcome the uncertainties in ECAM, and the gains of the controller are updated continuously to ensure the consistency of system performance under varying working conditions. The robustness of system against the varying load torque disturbances and noises is guaranteed by using the load torque disturbance observer to suppress the disturbance on master actuator. The velocity compensator was applied to compensate the degradation of performance of slave motion caused from the varying driving speed of master motion. The stability and validity of the proposed ECAM control system was verified by simulation results.

Obstacle Identification by Parabolic Curve Fitting using Ultrasonic Sensors Arranged on Ring Frame (링 프레임형 초음파 센서의 포물선 피팅에 의한 장애물 식별)

  • Jang, Jin-Su;Park, Tai-Jin;Lim, Zhong-Soo;Joo, Moon-G.
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.10
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    • pp.934-939
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    • 2012
  • This paper proposes a new algorithm for ultrasonic sensors arranged on ring frame to identify obstacles surrounding itself by TOFs (time of flight). The ring frame has multiple channels consisting of a transmitter and a receiver. When the transmitter of a selected channel transmits ultrasonic signal, the TOFs of reflected signals from obstacles are acquired by the receiver of the channel. The process continues for all channels consecutively. Then, by using parabolic curve fitting of TOFs of all channel, the proposed algorithm not only calculates distances from multiple obstacles, but also identifies if the shape of obstacles are point or plane by the coefficients of the curve. By the experiment using 16 ultrasonic transceivers on the ring frame in the environment of two poles and two planes, we show the feasibility of the proposed scheme.

A Suggestion of Simplified Load Formula for Blast Analysis (폭발해석을 위한 간략 폭발하중 제안식)

  • Jeon, Doo-Jin;Han, Sang-Eul
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.1
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    • pp.67-75
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    • 2016
  • In this paper, a pressure-time history curve of blast load and Conwep model are presented, and a simplified blast load formula is suggested. Generally, a blast load are applied as a pressure-time history curve, and it is calculated by blast load formula such as Conwep model. The Conwep model which is used in most of the blast analysis is quiet difficult to calculate because of its complex process. Therefore, a simplified formula is proposed to calculate blast load by simple rational expressions and to make a simplified pressure-time history curve. In this process, a curve fitting method was used to find the simple rational expressions. The calculation results of the simplified formula have an error of less than 1% in comparison with the Conwep model. And, blast analyses using finite elements method are accomplished with the Conwep model and simplified formula for verification.

A study on development of automatic welding system for compressor ease using vision sensor (시각센서를 이용한 비원형 압축기 케이스의 자동용접시스템 개발에 관한 연구)

  • 박현준;유제용;나석주;홍성준;강형식
    • Journal of Welding and Joining
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    • v.14 no.5
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    • pp.78-86
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    • 1996
  • Vision sensor was used to track the weld line of the compressor case. The compressor case was fixed in jig equipped with the rotating system, and two torches having one degree of freedom was applied in automatic welding system. The radius of rotation for the compressor case is varying with each rotating angle, while, the angle velocity is constant Therefore, an algorithm to extract the feature of the compressor case for varying rotation angle is needed. To over come the avove difficulties, the curve fitting and composite curve were used. The experiment to verify the proposed algorithm showed desirable results for tracking the welding line of compressor case.

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STRUCTURE OF THE SPIRAL GALAXY NGC 300 II. Applications of the Mass Models

  • Rhee, Myung-Hyun;Chun, Mun-Suk
    • Journal of The Korean Astronomical Society
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    • v.25 no.1
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    • pp.11-21
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    • 1992
  • Applying mass model to disk galaxy NGC 300, since the observed rotation curve of NGC 300 is flatter than Toomre's mass model n = 1, two cases are used; obtaining parameters $a^n$ and $b^n$ from the polynomial fitting of the observed rotation curve (case A) and from the least square fitting between the observed rotation curve and model rotation curve (case B). In any case, n bas a fixed value of 1. Brandt's mass model is also discussed. which has a shape parameter n = 1.4. Calculated total mass and total mass to luminosity ratio are $3.3{\times}10^{10}M_{\odot}$, l2.1 for case A and $2.8{\times}10^{10}M_{\odot}$, 10.3 for case B. In case of Brandt's model, the values are $4.2{\times}10^{10}M_{\odot}$ and 15.4. The rise in the local mass to luminosity ratio in the outer part of NGC 300 implies existence of massive halo. Other dynamical properties are also discussed.

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Maximum Tolerated Dose Estimate by Curve Fitting in Phase I Clinical Trial (제1상 임상시험에서 곡선적합을 이용한 MTD 추정법)

  • Heo, Eun-Ha;Kim, Dong-Jae
    • Communications for Statistical Applications and Methods
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    • v.18 no.2
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    • pp.179-187
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    • 2011
  • The purpose of a Phase I clinical trial is to estimate the maximum tolerated dose, MTD, of a new drug. In this paper, the MTD estimation method is suggested by curve fitting the dose-toxicity data to an S-shaped curve. The suggested MTD estimation method is compared with established MTD estimation procedures using a Monte Carlo simulation study.

A Study on Reverse Design of Cam Mechanism using NURBS (NURBS를 이용한 캠 기구의 역설계에 관한 연구)

  • 김상진;신중호;김대원;윤호업
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.920-924
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    • 2002
  • This paper presents the reverse design of a cam mechanism using NURBS(Nonuniform Rational B-spline curve). Cam is very difficult to make the accurate shape on the design and the manufacture. Because the cam shape is commonly made in order to move in special functions. The reverse design can be used to check accuracy between the designed data and the manufactured data of the cam shape and also reproduce the cam without the design data. The reverse design procedures consist of motion analysis and curve fitting. The motion analysis is used the central difference method and the relative velocity method to find the displacement and velocity. The curve fitting is used NURBS to develope the whole curve. The central difference method is derived in the 3 dimensional space.

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Fixed -bed Adsorption of Food-Related Phenolic Acids on Charocal in Single Solute System

  • Lee, Won-Young;Park, Yong-Hee
    • Preventive Nutrition and Food Science
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    • v.3 no.2
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    • pp.123-127
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    • 1998
  • Fixed-bed adsorption was adapted to separate phenolic acids from diluted phenolic solution. Break-through curve was obtained by nonlinear curve fitting method, and breakpoint, saturation time, and mass transfer coeffi-cient were calculated . Break point and saturation time were reached slower with $\rho$-coumaric acid than ferulic acid .The p-coumaric acid, having small molecular weight, is suposedly traveled longer pathway in characoal than ferulic acid. Fixed-bed adsorption iwht gallic acid having more hydroxyl functional group than other phenolic acids showed break point arrival and the largest saturation time. This fact means that there was bigger electrostatic affinity between gallic acid and charcoal than between other phenolic acids and charcoal.

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Elimination of Outlier from Technology Growth Curve using M-estimator for Defense Science and Technology Survey (M-추정을 사용한 국방과학기술 수준조사 기술성장모형의 이상치 제거)

  • Kim, Jangheon
    • Journal of the Korea Institute of Military Science and Technology
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    • v.23 no.1
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    • pp.76-86
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    • 2020
  • Technology growth curve methodology is commonly used in technology forecasting. A technology growth curve represents the paths of product performance in relation to time or investment in R&D. It is a useful tool to compare the technological performances between Korea and advanced nations and to describe the inflection points, the limit of improvement of a technology and their technology innovation strategies, etc. However, the curve fitting to a set of survey data often leads to model mis-specification, biased parameter estimation and incorrect result since data through survey with experts frequently contain outlier in process of curve fitting due to the subjective response characteristics. This paper propose a method to eliminate of outlier from a technology growth curve using M-estimator. The experimental results prove the overall improvement in technology growth curves by several pilot tests using real-data in Defense Science and Technology Survey reports.

Fitting a Piecewise-quadratic Polynomial Curve to Points in the Plane (평면상의 점들에 대한 조각적 이차 다항식 곡선 맞추기)

  • Kim, Jae-Hoon
    • Journal of KIISE:Computer Systems and Theory
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    • v.36 no.1
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    • pp.21-25
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    • 2009
  • In this paper, we study the problem to fit a piecewise-quadratic polynomial curve to points in the plane. The curve consists of quadratic polynomial segments and two points are connected by a segment. But it passes through a subset of points, and for the points not to be passed, the error between the curve and the points is estimated in $L^{\infty}$ metric. We consider two optimization problems for the above problem. One is to reduce the number of segments of the curve, given the allowed error, and the other is to reduce the error between the curve and the points, while the curve has the number of segments less than or equal to the given integer. For the number n of given points, we propose $O(n^2)$ algorithm for the former problem and $O(n^3)$ algorithm for the latter.