• 제목/요약/키워드: position error equation

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A Study on the Errors In the Free-Gyro Positioning System (I)

  • Jeong Tae-Gweon
    • 한국항해항만학회지
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    • 제29권7호
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    • pp.611-614
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    • 2005
  • This paper is to develop the position error equation of in the free-gyro positioning system by using two free gyros. First, the determination of a position is analyzed on the ellipsoid of the Earth and the type of the errors is defined Finally the position error equation is introduced and developed, based on the definition of the type of errors which may be involved in the FPS.

3차원 좌표측정기(CMM)의 오차방정식 유도에 관한 연구 (A Study on the Volumetric Error Equation of Coordinate Measuring Machines and their Application)

  • 이응석
    • 대한기계학회논문집
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    • 제19권6호
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    • pp.1545-1553
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    • 1995
  • For general geometry of Coordinate Measuring Machine (CMM), volumetric error equation including 21 systematic error components was showed using vector expression. Different types of CMM listed on an international standard (BS 6808) were classified according to their geometry, and the general volumetric error equation was used for the CMMs. Application of volumetric error equation was also introduced, such as position error compensation, error equation of CNC-machine and parametric error analysis, etc.

Analysis of Estimation Errors in Rotor Position for a Sensorless Control System Using a PMSM

  • Park, Yong-Soon;Sul, Seung-Ki;Ji, Jun-Keun;Park, Young-Jae
    • Journal of Power Electronics
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    • 제12권5호
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    • pp.748-757
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    • 2012
  • In a sensorless control system with a Permanent Magnet Synchronous Motor (PMSM), the angular position of the rotor flux can be estimated by a voltage equation. However, the estimated angle may be inaccurate due to various causes. In this paper, it was comprehensively analyzed how various causes affect the angle error. As a result of the analysis, an error equation intuitively describing these relationships was derived. The parameter errors of a PMSM and the non-ideal properties of the driving system were identified as error-causing factors. To demonstrate the validity of the error equation, PMSMs were tested at various operating points. The variations in angle errors could be well explained with the error equation.

회전 초음파 센서와 지도를 이용한 이동 로보트의 동적 절대 위치 추정 (dynamic localization of a mobile robot using a rotating sonar and a map)

  • 양해용;정학영;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.544-547
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    • 1997
  • In this paper, we propose a dynamic localization method using a rotating sonar and a map. The proposed method is implemented by using extended Kalman filter. The state equation is based on the encoder propagation model and the encoder error model, and the measurement equation is a map-based measurement equation using a rotating sonar sensor. By utilizing sonar beam characteristics, map-based measurements are updated while AMR is moving continuously. By modeling and estimating systematic errors of a differential encoder, the position is successfully estimated even the interval of the map-based measurement. Monte-Carlo simulation shows that the proposed global position estimator has the performance of a few millimeter order in position error and of a few tenth degrees in heading error and of compensating systematic errors of the differential encoder well.

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자유자이로 위치 및 방위시스템의 오차에 관한 연구 (A Study on the Errors in the Free-Gyro Positioning and Directional System)

  • 정태권
    • 한국항해항만학회지
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    • 제37권4호
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    • pp.329-335
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    • 2013
  • This paper is to develop the position error equations including the attitude errors, the errors of nadir and ship's heading, and the errors of ship's position in the free-gyro positioning and directional system. In doing so, the determination of ship's position by two free gyro vectors was discussed and the algorithmic design of the free-gyro positioning and directional system was introduced briefly. Next, the errors of transformation matrices of the gyro and body frames, i.e. attitude errors, were examined and the attitude equations were also derived. The perturbations of the errors of the nadir angle including ship's heading were investigated in each stage from the sensor of rate of motion of the spin axis to the nadir angle obtained. Finally, the perturbation error equations of ship's position used the nadir angles were derived in the form of a linear error model and the concept of FDOP was also suggested by using covariance of position error.

A Study on Errors in the Free-Gyro Positioning & Directional System(II)

  • 정태권
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2012년도 춘계학술대회
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    • pp.160-161
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    • 2012
  • This paper is to develop & analyze the position & direction error equations in the free-gyro positioning & directional system by using two free gyros and is to find out the amount of the errors. First, the position & direction error equations are introduced and developed, based on the position & direction equations. Second, the value of errors is discussed based on sensors errors.

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A Study on the GPS Error Compensation using Estimation Point of Moving Position at a Vehicle

  • Song, Suck-Woo;Song, Hyun-Sung;Jang, Hong-Seok;Rho, Do-Hwan
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.64.5-64
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    • 2001
  • It is a very important problem that we grasp the accurate position at car navigation system. The GPS has used for knowing position because of accumulating few errors, but it have errors that are Tropospheric error, ionospheric error and Multipath error and so on. In this paper, We estimate moving position of a vehicle by Kalman filter using initial value after deducing the line equation using initial value and target value of map data. Then, we compensate GPS errors compare estimated poing with GPS errors. The experimental results have shown that are compared position data during real travel with compensated position data which are got after applying the algorithm ...

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

  • 권기환;박재준;이일규;조남규;양현익
    • 한국정밀공학회지
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    • 제21권11호
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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.

Control Method for the Tool Path in Aspherical Surface Grinding and Polishing

  • Kim, Hyung-Tae;Yang, Hae-Jeong;Kim, Sung-Chul
    • International Journal of Precision Engineering and Manufacturing
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    • 제7권4호
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    • pp.51-56
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    • 2006
  • This paper proposes a control algorithm, which is verified experimentally, for aspherical surface grinding and polishing. The algorithm provides simultaneous control of the position and interpolation of an aspheric curve. The nonlinear formula for the tool position was derived from the aspheric equation and the shape of the tool. The function was partitioned at specific intervals and the control parameters were calculated at each control section. The position, acceleration, and velocity at each interval were updated during the process. A position error feedback was introduced using a rotary encoder. The feedback algorithm corrected the position error by increasing or decreasing the feed speed. In the experimental verification, a two-axis machine was controlled to track an aspherical surface using the proposed algorithm. The effects of the control and process parameters were monitored. The results demonstrated that the maximum tracking error with tuned parameters was at the submicron level for concave and convex surfaces.

로보트 매니퓰레이터의 비집중 적응제어에 관한 연구 (A study on decentralized adaptive control of robot manipulator)

  • 이상철;박성기;정찬수
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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    • pp.183-187
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    • 1989
  • This paper presents on approach to the position control of a robot manipulator by using a decentralized adaptive control scheme. The large scale system is regarded as the system which consists of many subsystems having interconnection. In each subsystem, a local control system is composed by feedforward and feedback component, one computes the nominal torque from the Newton-Euler equation, the other computes the perturbation equation which reduce the position error of the manipulator along the nominal trajectory. A computer simulation studies was conducted to evaluate and compare the performances of the proposed manipulator control scheme with those of the PD control and centralized control schemes.

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