• Title/Summary/Keyword: Coordinate System Transformation

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Physical property control for a batch polymerization reactor

  • Kim, In-Sun;Ahn, Sung-Mo;Rhee, Hyun-Ku
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.263-266
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    • 1996
  • A method to determine an optimal temperature trajectory that guarantees polymer products having controlled molecular weight distribution and desired values of molecular weight is presented. The coordinate transformation method and the optimal control theory are applied to a batch PMMA polymerization system to calculate the optimal temperature trajectory. Coordinate transformation method converts the original fixed-end-point, free-end-time problem to a free-end-point, fixed-end-time problem. The idea is that by making the reactor temperature track the optimal temperature trajectory one may be able to produce polymer products having the prespecified physical property in a minimum time. The on-line control experiments with the PID control algorithm have been conducted to establish the validity of the scheme proposed in this study. The experimental results show that prespecified polymer product could be obtained with tracking the calculated optimal temperature trajectory.

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Analysis of Herringbone Grooved Journal Bearing Using Generalized Coordinate Transformation (일반좌표계 변환을 이용한 헤링본 그루브 베어링의 해석)

  • 박상신;한동철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1999.06a
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    • pp.317-324
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    • 1999
  • The present work is an attempt to calculate the steady state pressure and perturbed pressure of herringbone grooved journal bearings. A generalized coordinate system is introduced to handle the complex bearing geometry. The coordinates are fitted to the groove boundary and the Reynold's equation is transformed to be fitted to this coordinates system using the Gauss divergence theorem. This method makes it possible to deal with an arbitrary configuration of a lubricated surface. The characteristics of finite herringbone grooved journal are well calculated using this method.

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A canonical structure for nonlinear observers

  • Nam, Kwang-Hee;Lee, Won-Chang
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.939-942
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    • 1988
  • In order to construct a nonlinear observer, change of coordinate system is necessary. However, as in the case of feedback linearizable system it is not easy to obtain a coordinate transformation map. ln this paper, a canonical structure is proposed for observable systems with an objective of finding a vector field which is necessary for the generation of a new coordinate system.

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Coordlinate Transformation Parameter Estimation for Korean Seas and Islands

  • KWON Jay Hyoun;BAE Tae-Suk;CHOI Yoon-Soo
    • Korean Journal of Geomatics
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    • v.5 no.1
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    • pp.21-26
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    • 2005
  • According to revisions of survey law taking effect on January 1, 2003, the Korean geodetic datum has been changed from a local geodetic to a world geodetic system. In this study, the datum transformation parameters especially for the maritime geographical data are determined. From database constructed through MGIS, a total of 492 coordinate pairs were selected and used in the parameter determination after outlier testing. Based on the parameter estimation, the Molodensky model is selected for datum transformation. For higher accuracy, Application of network optimization and a least squares collocation with Gaussian model has resulted in the accuracy better than 15 cm in coordinate transformation.

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On Feedback Linearization of Nonlinear Time-Delay Systems

  • Shin, Hee-Sub;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1906-1908
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    • 2004
  • We propose a result on the stabilization of nonlinear time-delay systems via the feedback linearization method. Using the predictor based control and the parametric coordinate transformation, we introduce a stabilizing controller to compensate time delay. Specifically, we present the delay-dependent stability analysis to makes the considered system stable. Also, an illustrative example is provided

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Extraction of Lip Region using Chromaticity Transformation and Fuzzy Clustering (색도 변환과 퍼지 클러스터링을 이용한 입술영역 추출)

  • Kim, Jeong Yeop
    • Journal of Korea Multimedia Society
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    • v.17 no.7
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    • pp.806-817
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    • 2014
  • The extraction of lip region is essential to Lip Reading, which is a field of image processing to get some meaningful information by the analysis of lip movement from human face image. Many conventional methods to extract lip region are proposed. One is getting the position of lip by using geometric face structure. The other discriminates lip and skin regions by using color information only. The former is more complex than the latter, however it can analyze black and white image also. The latter is very simple compared to the former, however it is very difficult to discriminate lip and skin regions because of close similarity between these two regions. And also, the accuracy is relatively low compared to the former. Conventional analysis of color coordinate systems are mostly based on specific extraction scheme for lip regions rather than coordinate system itself. In this paper, the method for selection of effective color coordinate system and chromaticity transformation to discriminate these two lip and skin region are proposed.

Generalized Kinematics Modeling of Wheeled Mobile Robots (바퀴형 이동로봇의 기구학)

  • Shin, Dong-Hun;Park, Kyung-Hoon
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.5
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    • pp.118-125
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    • 2002
  • The previous kinematic analysis of wheeled mobile robots(WMRs) is performed in an ad-hoc manner, while those of the robot manipulators are done in a consistent way using the coordinate system assignment and the homogeneous transformation matrix. This paper shows why the method for the robot manipulators cannot be used directly to the WMRs and proposes the method for the WMRs, which contains modeling the wheel with the Sheth-Uicker notation and the homogeneous transformation. The proposed method enable us to model the velocity kinematics of the WMRs in a consistent way. As an implementation of the proposed method, the Jacobian matrices were obtained for conventional steered wheel and non-steered wheel respectively and the forward and inverse velocity kinematic solutions were calculated fur a tricycle typed WMR. We hope that our proposed method comes to hold an equivalent roles for WMRs, as that of the manipulators does for the robot manipulators.

Measurement and Algorithm Calculation of Maxillary Positioning Change by Use of an Optoelectronic Tracking System Marker in Orthognathic Surgery (악교정수술에서 광전자 포인트 마커를 이용한 상악골 위치 변화의 계측 및 계산 방법 연구)

  • Park, Jong-Woong;Kim, Soung-Min;Eo, Mi-Young;Park, Jung-Min;Myoung, Hoon;Lee, Jong-Ho;Kim, Myung-Jin
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.33 no.3
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    • pp.233-240
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    • 2011
  • Purpose: To apply a computer assisted navigation system to orthognathic surgery, a simple and efficient measuring algorithm calculation based on affine transformation was designed. A method of improving accuracy and reducing errors in orthognathic surgery by use of an optical tracking camera was studied. Methods: A total of 5 points on one surgical splint were measured and tracked by the Polaris $Vicra^{(R)}$ (Northern Digital Inc Co., Ontario, Canada) optical tracking system in two cases. The first case was to apply the transformation matrix at pre- and postoperative situations, and the second case was to apply an affine transformation only after the postoperative situation. In each situation, the predictive measuring value was changed to the final measuring value via an affine transformation algorithm and the expected coordinates calculated from the model were compared with those of the patient in the operation room. Results: The mean measuring error was $1.027{\pm}0.587$ using the affine transformation at pre- and postoperative situations and the average value after the postoperative situation was $0.928{\pm}0.549$. The farther a coordinate region was from the reference coordinates which constitutes the transform matrixes, the bigger the measuring error was found which was calculated from an affine transformation algorithm. Conclusion: Most difference errors were brought from mainly measuring process and lack of reproducibility, the affine transformation algorithm formula from postoperative measuring values by using of optic tracking system between those of model surgery and those of patient surgery can be selected as minimizing the difference error. To reduce coordinate calculation errors, minimum transformation matrices must be used and reference points which determine an affine transformation must be close to the area where coordinates are measured and calculated, as well as the reference points need to be scattered.

The Coordinate Transformation Between Korean Geodetic System and WGS 84 for the Practical Use of GPS (II) (GPS 실용화를 위한 우리나라 측지계와 WGS 84의 좌표변환(II))

  • 박필호;박종욱;강준묵
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.11 no.1
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    • pp.37-45
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    • 1993
  • We research on the coordinate transformation between Korean geodetic system and WGS 1984. We made the wide area an object of our research. This area covers the range of longitude $1^\circ$ 32'and latitude $1^\circ$ 7'and is four times wider than a first stage research published in 1992. For this research, we performed GPS observations at 10 control point (seven astrogeodetic points, three triangulation points) and eight banch marks nearby control points, and then transformed the coordinates of WGS 84 to Korean geodetic system using the 7 parameter method, Molodensky method and MRE method. From this test, we compared the precision of the coordinate transformation by each method and checked which method is more applicable to Korea. We could find that the precision by 7 parameter method is three times better than the other methods and that the coordinate transformation by 7 parameter method is possible with the precision of 0".017, 0".016, 0.329 m in latitude, longitude and height. We could check and correct the height blunder of the control points by the bench marks nearby control point. We also could find the precision of coordinate transformation is more improved by the correction of height blunder.t blunder.

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A Study on 3D-Transformation of Krazovsky Coordinate System (Krassovsky 타원체 좌표의 3차원 변환에 대한 연구)

  • 김감래;전호원;현민호
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.19 no.2
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    • pp.117-123
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    • 2001
  • Requiring topographic information of map due to retaining russia map, which needed accuracy analysis of russia map and relation between its and south korea's map. In order to obtain exact location information from the map which has different reference datum. We have to operate coordinate transformation between maps applied different ellipsoid. In this paper, in order to evaluate accuracy between two maps applied different ellipsoid, it has studied theory of map projection and coordinate transformation. Then, select each point which can be recognized on the two maps for accuracy evaluation. After obtaining coordinate values for each point of same area, it is evaluated accuracy each geodetic coordinate and each TM coordinate. As a result of this study, the maps which have different reference datum could be used if the exact origin shift could be obtained and applied.

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