• 제목/요약/키워드: Parasitic motion

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

  • 황주호;박천홍;이찬홍;김동익;김승우
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 추계학술대회 논문집
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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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유연기구를 이용한 초정밀 단일체 3축 스테이지의 모델링 및 최적설계에 관한 연구 (Modeling and optimal design of monolithic precision XYZ-stage using flexure mechanism)

  • 심종엽;권대갑
    • 대한기계학회논문집A
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    • 제22권4호
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    • pp.868-878
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    • 1998
  • There are recently increasing needs for precision XYZ-stage in the fields of nanotechnology, specially in AFMs(Atomic Force Microscope) and STMs(Scanning Tunneling Microscope). Force measurements are made in the AFM by monitoring the deflection of a flexible element (usually a cantilever) in response to the interaction force between the probe tip and the sample and controlling the force neasyred constant topography can be obtained. The power of the STM is based on the strong distance dependence of the tunneling current in the vacuum chamber and the current is a feedback for the tip to trace the surface topography. Therefore, it is required for XYZ-stage to position samples with nanometer resolution, without any crosscouples and any parasitic motion and with fast response. Nanometer resolution is essential to investigate topography with reasonable shape. No crosscouples and parasitic motion is essential to investigate topography without any shape distortion. Fast response is essential to investigate topography without any undesirable interaction between the probe tip and sample surface ; sample scratch. To satisfy these requirements, this paper presents a novel XYZ-stage concept, it is actuated by PZT and has a monolithic flexible body that is made symmetric as possible to guide the motion of the moving body linearly. PZT actuators have a very fast response and infinite resolution. Due to the monolithic structure, this XYZ-stage has no crosscouples and by symmetry it has no parasitic motion. Analytical modeling of this XYZ-stage and its verification by FEM modeling are performed and optimal design that is to maximize 1st natural frequencies of the stage is also presented and with that design values stage is manufactured.

AFM 시스템을 위한 XYZ 3축 스테이지의 설계 (The design of XYZ 3-axis stage for AFM system)

  • 김동민;김기현;심종엽;권대갑;엄천일
    • 한국결정학회:학술대회논문집
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    • 한국결정학회 2002년도 정기총회 및 추계학술연구발표회
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    • pp.36-36
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    • 2002
  • To Establish of standard technique of length measurent in 2D plane, we develope AFM system. The XY scanner scans the sample only in XY plane, while the Z scanner scans the specimen only in Z-direction. Cantilever tip is controlled to has constant height relative to speciman surface by feedback of PSPD signal. To acquire high accuracy, Z-axis measuring sensor will be added.(COXI or others). In this paper we design XYZ stage suitable for this AEM system. For XY stage, single module parallel-kinnematic flexure stage is used which has high orthogonality and minimum out-of-plane motion. To obtain best performance optimal design is performed. For XY stage, to be robust about parasitic motion optimal design of maximizing Z and tilt stiffness is performed under the constraint of motion range and stage size. And for Z stage, optimal design of maximizing 1st resonant frequency is performed. Because if resonant frequency is get higher, scan speed is improved. So it makes reduce the error by sensor drift. Resultly XYZ stage each have 1st natural frequency of 115㎐, 201㎐, 2.66㎑ and range 109㎛, 110㎛, 12㎛.

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Robust deterministic control for robotic manipulators with uncertainties

  • Kang, Chul-Goo;Horowitz, Roberto;Leitmann, George
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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    • pp.687-693
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    • 1989
  • A robust deterministic control for a class of singularly perturbed uncertain systems, where uncertainties are characterized deterministically rather than stochastically, is developed based mainly on information available on an uncertain reduced-order system. The deterministic control scheme is applied to the motion control of a n degree of freedom robotic manipulator. The parasitic actuator and sensor dynamics of the manipulator are explicitly considered in the stability analysis of the deterministic controller using a singular perturbation model. Simulation and experimental studies for a two degree of freedom, direct drive SCARA manipulator are conducted to evaluate the effectiveness of the derived control scheme.

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원자현미경용 XY 스캐너의 아베 오차 최소화를 위한 최적 설계 및 원자 현미경의 측정 불확도 평가 (Optimal design of a flexure hinge-based XY AFM scanner for minimizing Abbe errors and the evaluation of measuring uncertainty of AFM system)

  • 김동민;이동연;권대갑
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1438-1441
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    • 2005
  • To establish of standard technique of nano-length measurement in 2D plane, new AFM system has been designed. In this system, measurement uncertainty is dominantly affected by the Abbe error of XY scanning stage. No linear stage is perfectly straight; in other words, every scanning stage is subject to tilting, pitch and yaw motion. In this paper, an AFM system with minimum offset of XY sensing is designed. And XY scanning stage is designed to minimize rotation angle because Abbe errors occur through the multiply of offset and rotation angle. To minimize the rotation angle optimal design has performed by maximizing the stiffness ratio of motion direction to the parasitic motion direction of each stage. This paper describes the design scheme of full AFM system, especially about XY stage. Full range of fabricated XY scanner is $100um\times{100um}$. And tilting, pitch and yaw motion are measured by autocollimator to evaluate the performance of XY stage. Using this AFM system, 3um pitch specimen was measured. As a result, the uncertainty of total system has been evaluated.

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단채널 MOSFET의 열잡음 모델링을 위한 잡음 파라메터의 분석과 추출방법 (Analysis and extraction method of noise parameters for short channel MOSFET thermal noise modeling)

  • 김규철
    • 한국정보통신학회논문지
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    • 제13권12호
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    • pp.2655-2661
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    • 2009
  • 단채널 MOSFET의 열잡음 모델링을 위한 정밀한 잡음 파라메터를 유도하고 추출했다. MOSFET의 잡음 파라메터를 계산하기 위한 Fukui모델을 단채널에서의 기생성분의 영향을 고려하여 수정하였고, 기존의 모델식과 비교하였다. 또한 소자 고유의 잡음원을 얻기 위해서 서브마이크론 MOSFET의 잡음 파라메터(최소잡음지수 $F_{min}$, 등가잡음 저항 $R_n$, 최적 소스어드미턴스 $Y_{opt}=G_{opt}+B_{opt}$)를 추출하는 방법을 제시하였다. 이러한 추출방법을 통하여 프로브패드의 영향과 외부기생소자 영향을 제거한 MOSFET 고유의 잡음 파라메터가 RF잡음측정으로부터 직접 얻어지게 된다.

XY 스캐너의 아베 오차 최소화를 위한 최적 설계 및 나노 정밀도의 원자 현미경 피치 측정 불확도 평가 (Optimal design of a flexure hinge-based XY AFM scanner for minimizing Abbe errors and the evaluation of pitch measuring uncertainty of a nano-accuracy AFM system)

  • 김동민;이동연;권대갑
    • 한국정밀공학회지
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    • 제23권6호
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    • pp.96-103
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    • 2006
  • To establish of standard technique of nano-length measurement in 2D plane, new AFM system has been designed. In the long range (about several tens of ${\mu}m$), measurement uncertainty is dominantly affected by the Abbe error of XY scanning stage. No linear stage is perfectly straight; in other words, every scanning stage is subject to tilting, pitch and yaw motion. In this paper, an AFM system with minimum offset of XY sensing is designed. And XY scanning stage is designed to minimize rotation angle because Abbe errors occur through the multiply of offset and rotation angle. To minimize the rotation angle optimal design has performed by maximizing the stiffness ratio of motion direction to the parasitic motion direction of each stage. This paper describes the design scheme of full AFM system, especially about XY stage. Full range of fabricated XY scanner is $100{\mu}m\times100{\mu}m$. And tilting, pitch and yaw motion are measured by autocollimator to evaluate the performance of XY stage. As a result, XY scanner can have good performance. Using this AFM system, 3um pitch specimen was measured. The uncertainty of total system has been evaluated. X and Y direction performance is different. X-direction measuring performance is better. So to evaluate only ID pitch length, X-direction scanning is preferable. Its expanded uncertainty(k=2) is $\sqrt{(3.96)^2+(4.10\times10^{-5}{\times}p)^2}$ measured length in nm.

플렉셔 구조의 병렬형 선형 안내기구를 이용한 2 축 초정밀 스테이지 (A Two-Axis Ultra-precision Stage Using Flexure-type Parallel Linear Guide Mechanism)

  • 최기봉
    • 한국정밀공학회지
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    • 제23권1호
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    • pp.129-135
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    • 2006
  • In this study, a two-axis ultra-precision stage driven by piezoelectric elements is presented. The stage has a flexure-type parallel linear guide mechanism consisting of quad-symmetric simple parallel linear springs and quad-symmetric double compound linear springs. While the simple parallel linear springs guide the linear motion of a moving plate in the stage, the double compound linear springs follow the motion of the simple parallel linear spring as well as compensate the parasitic motions caused by the simple parallel linear springs. The linear springs are designed by rectangular beam type flexures that are deformed by bending deflection rather than axial extension, because the axial extension is smaller than the bending deflection at the same force. The designed guide mechanism is analyzed by finite element method(FEM). Then two-axis parallel linear stage is implemented by the linear guide mechanism combined with piezoelectric elements and capacitance type displacement sensors. It is shown that the manufactured ultra-precision stage achieves 3 nm of resolution in x- and y-axis within 30 ${\mu}m$ of operating range.

기구학적 커플링으로 구성된 3자유도 병렬 메커니즘 해석 및 설계 (Analysis and Design of 3-DOF Parallel Mechanism Based on Kinematic Couplings)

  • 왕위준;한창수
    • 한국생산제조학회지
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    • 제21권3호
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    • pp.479-486
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    • 2012
  • This paper presents a high-speed automatic micro-alignment system that is a part of an inspection machine for small-sized molded lenses of mobile phones, palm-top computers, and so on. This work was motivated by the shortcomings of existing highest-grade commercial machine. A simple tip/tilt/Z parallel mechanism is designed based on kinematic couplings, which is a 3-degree-of-freedom (3-DOF) moderate-cost alignment stage. It is used to automatically adjust the posture of each lens on the tray, which is impossible by the conventional instrument. Amplified piezoelectric actuators are used to ensure the accuracy and dynamic response. Forward kinematic analysis and simulation show that the parasitic motion is small enough compared to the actuator stroke. From the workspace analysis of the moving platform, it is clear that the output motion range satisfies the design requirements.