• Title/Summary/Keyword: two-dimensional position error

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The Analysis of Motion Error in Scanning Type XY Stage (스캐닝 방식 XY 스테이지의 운동오차 분석)

  • 황주호;박천홍;이찬홍;김동익;김승우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.1380-1383
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    • 2004
  • The scanning type XY stage is frequently used these days as precision positioning system in equipment for semiconductor or display element. It is requested higher velocity and more precise accuracy for higher productivity and measuring performance. The position accuracy of general stage is primarily affected by the geometric errors caused by parasitic motion of stage, misalignments such as perpendicular error, and thermal expansion of structure. In the case of scanning type stage, H type frame is usually used as base stage which is driven by two actuators such as linear motor. In the point view of scanning process, the stage is used in moving motion. Therefore, dynamic variation is added as significant position error source with other parasitic motion error. Because the scanning axis is driven by two actuators with two position detectors, 2 dimensional position errors have different characteristic compared to general tacked type XY stage. In this study 2D position error of scanning stage is analyzed by 1D heterodyne interferometer calibrator, which can measure 1D linear position error, straightness error, yaw error and pitch error, and perpendicular error. The 2D position error is evaluated by diagonal measurement (ISO230-6). The yaw error and perpendicular error are compensated on the base stage of scanning axis. And, the horizontal straightness error is compensated by cross axis compensation. And, dynamic motion error in scanning motion is analyzed.

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Fuzzy control of a robot manipulator in Cartesian space (Cartesian 공간에서 로봇 머니퓰레이터의 퍼지제어)

  • 곽희성;강철구
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.165-173
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    • 1995
  • In order to eliminate position errors existing at the steady state in the motion control of robotic maniprlators, a new fuzzy control algorithm is proposed using three variables, position error, velocity error and integral of position errors as input variables of the fuzzy controller, This controller is applied to the tracking control of robotic manipulators in Cartesian space. Three dimensional look-up table is used to reduce the computational time in rel-time control. Simulation and experimental studies are conducted to evaluate the control performance for the two axis direct drive SCARA robot system.

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The evaluation of aerostatic guide-ways for planar XY stage (평면 XY 스테이지용 공기베어링 안내면 오차 평가)

  • Hwang J.H.;Park C.H.;Kim S.W.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.141-142
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    • 2006
  • This paper describes estimation method for 2D position error of planar XY stage from measured profiles of guide-ways. The XY stage usually moves along its guide ways. The motion error of each stage has effect on 2D position errors of XY stages and affected mainly by profiles of guide-ways. To estimate 2D position error and flatness of stages, the profiles of guide-ways were measured and used in motion error estimation.

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TDOA Measurement Based Taylor Series Design Method Considering Height Error for Real-Time Locating Systems (실시간 위치추적 시스템에서 높이 오차를 고려한 TDOA 측정치 기반 테일러 급수 설계 방법)

  • Kang, Hee-Won;Hwang, Dong-Hwan;Park, Chan-Sik
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.8
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    • pp.804-809
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    • 2010
  • This paper proposes a Taylor-series design method which reduces the height error of the tag when readers are arranged at the same height in 3-dimensional space. The proposed method consists of two steps. Firstly, the planar position is estimated by the Taylor-series method using the TDOA measurement. Next, the height is estimated from the estimated planar position. In order to show the validity of the proposed method, computer simulations were performed for the static case and linear trajectory of the tag. Results show that the proposed method gives convergent estimated position and better height estimate than the Taylor series method.

Fuzzy Control Algorithm Eliminating Steady-state Position Errors of Robotic Manipulators (로봇 머니퓰레이터의 정상상태 위치오차를 제거할 수 있는 퍼지제어 알고리듬)

  • Kang, Chul-Goo;Kwak, Hee-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.3
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    • pp.361-368
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    • 1997
  • In order to eliminate position errors existing at the steady state in the motion control of robotic manipulators, a new fuzzy control algorithm is propeosed using three variables, position error, velocity error and integral of position errors as input variables of the fuzzy controller. Although the number of input variables of the fuzzy controller is increased from two to three, the number of fuzzy control rules is just increased by two. Three dimensional look-up table is used to reduce the computational time in real-time control, and a technique reducing the amount of necessary memory is introduced. Simulation and experimental studies show that the position errors at the steady state are decreased more than 90% compared to those of existing fuzzy controller when the proposed fuzzy controller is applied to the 2 axis direct drive SCARA robot manipulator.

Analysis for Consolidation-Settlement of Embankment on Clay Layers (점토(粘土) 지반상(地盤上)의 성토(盛土)의 압밀침하(壓密沈下) 분석(分析))

  • Jung, Sung Gwan;Kwon, Moo Nam
    • Current Research on Agriculture and Life Sciences
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    • v.2
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    • pp.98-108
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    • 1984
  • Generally, in case of constructing the embankments on the soft clay layers, one-dimensional consolidation settlement under the assumption of a middle position stress in a single layer makes a great difference with the integral value, ie. the final settlement. Consequently, to find how many equal segments of the soft clay layer are needed to converge into the integral value and which position should be taken as a position of mean stress, authors compared the theoretical value of the settlement due to one-dimensional consolidation with the practical value of the settlement due to two dimensional consolidation. The obtained results are as follows. 1) The practical value of the two-dimensional consolidation settlement can be estimated by the 74-83% theoretical value of the one-dimensional consolidation settlement. 2) When the soft clay layer was cut into 8-16 equal segments according to the depth, one-dimensional consolidation settlement converge into the integral value. 3) Assuming a total soft clay layer as a single one, the depth of a mean stress position is 0.29-0.37 of the thickness of the total soft clay layer. 4) The Hyperbola Method which presumes the long-term settlement from the short-term practical value of settlement is credible, because all practical value of the settlement are in safe side of the standard error of estimation and the correlation coefficient is up to 0.95.

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Measuring Methods for Two-dimensional Position Referring to the Target Pattern (참조패턴 기반의 2차원 변위 측정 방법론)

  • Jung, Kwang Suk;Lee, Sang Heon;Park, Sung-Jun
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.1
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    • pp.77-84
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    • 2013
  • In this paper, we review two-dimensional measuring methods referring to target patterns. The patterns consist of two linearly-repeated patterns or is designed repeatedly in two-dimension. The repeated properties are reflectivity, refractivity, air-gapping distance, capacitance, magnetic reluctance, electrical resistance and sloping gradient, etc. However, the optical methods are generally used for high speed processing and density, and their encoding principles are treated here. In case of two-dimensional pattern, as there is not inherently error between single units encoding the pattern except for the metrology frame errors, the end-effector position of an object accompanying the pattern can be measured with respect of the global frame without via error. Therefore, it is regarded as a substitute for laser interferometer with severe environmental constraints and has been applied to the high-accurate planar actuator.

A study on detection of composite errors and high precision cutting method by numerical control of two-dimensional circular interpolation in machining centers (Machining center에서 2차원 원호보간의 복합오차 검출 및 수치제어에 의한 고정밀도 가공방법에 관한 연구)

  • Kim, J.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.6
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    • pp.117-126
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    • 1994
  • This paper describes an application step of a $R^{-{\theta}}$ method which measures circular movements in machining centers. The detection of composite errors of circular movements and a high precision cutting method in machining centers were investigated by the analysis of data measured by $R^{\theta }$method which can detect the rotating angle and is applicable to variable measuring radius. When the error by squareness error and unbalance of position-loop-gain were mixed, the detection method of each error was proposed. Although the errors by squarenss error and backlash compensation were mixed, the errors by squareness error be detected. If the errors by unbalance of position-loop-gain and backlash compensation were mixed, the errors by unbalance of position-loop-gain could not detected. A high precision cutting mehod, which uses the NC program compensated by using feed-back data from error measured by the $R^{\theta }$method, was proposed.

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Precision Evaluation Method for the Positioning Error of Three-DOF Parallel Mechanism using Coordinate Measuring Machine (CMM) (CMM을 이용한 3자유도 병렬기구 위치 오차의 정밀 평가 기법)

  • 권기환;박재준;이일규;조남규;양현익
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.11
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    • pp.99-109
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    • 2004
  • This paper proposes precision evaluation method for the positioning error of three-DOF translational parallel mechanism. The proposed method uses conventional CMM as metrology equipment to measure the position of end-effector. In order to obtain accurate measurement data from CMM, the transform relationship between the coordinate system of the parallel mechanism and the CMM coordinate system must be identified. For this purpose, a new coordinate referencing (or coordinate system identification) technique is presented. By using this technique accurate coordinate transformation relationships are efficiently established. According to these coordinate transformation relationships, an equation to calculate error components at any arbitrary position of the end-effector is derived. In addition, mathematical fitting models to represent the position error components in the two-dimensional workspace of the parallel mechanism are also constructed based on response surface methodology. The proposed error evaluation method proves its effectiveness through the experimental results and its application to real three-DOF parallel mechanism.

Study on Non-linear Error Effect of Three Dimensional Control Surface Linkage Using Kinematic Analysis (3차원 조종면 변위센서 링크의 운동학적 해석을 통한 비선형 오차 영향 연구)

  • Lee, Sug-Chon;Kim, Jae-Eun;Lee, Sang-Jong
    • Journal of Aerospace System Engineering
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    • v.5 no.1
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    • pp.1-6
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    • 2011
  • It is very important to correctly set control surface linkage. But a lot of bad setting case has been seen in especially remote controled airplanes and middle size UAVs. In this paper, a three dimensional linkage from control surface to deflection sensor was analyzed kinematically and a position analysis was simulated using algebraic algorithm in terms of nonlinear error of deflection angle. Three correct settings of the linkage came out of this research. One is two-dimensional motion, another is link ratio of 1 and the other is that effective lever of the control surface should be perpendicular to a pushrod in their neutral position.