• Title/Summary/Keyword: position error equation

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Single Frequency GPS Relative Navigation for Autonomous Rendezvous and Docking Mission of Low-Earth Orbit Cube-Satellites

  • Shim, Hanjoon;Kim, O-Jong;Yu, Sunkyoung;Kee, Changdon;Cho, Dong-Hyun;Kim, Hae-Dong
    • Journal of Positioning, Navigation, and Timing
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    • v.9 no.4
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    • pp.357-366
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    • 2020
  • This paper addressed a relative navigation method for autonomous rendezvous and docking of cube-satellites using single frequency Differential GPS (DGPS) under the intermittent communication between satellites. Since the ionospheric error of GPS measurement is variable depending on the visible satellites, a few meters error of relative navigation is occurred in the Low-Earth Orbit (LEO) environment. Therefore, it is essential to remove the ionospheric error to perform relative navigation. Besides, an intermittent communication period for receiving GPS measurements of the target satellite is limited for getting information every sampling time. To solve this problem, a method combining range domain DGPS and orbit propagation is proposed in this paper. The proposed method improves the performance of DGPS by using Hatch filter and solves an intermittent communication problem by estimating the relative position and velocity using Hill-Clohessy-Wiltshire Equation. Through the simulation, it is verified that the suggested algorithm provides the relative position error within RMS 0.5 m and the relative velocity error within RMS 3 cm/s. Furthermore, it has the advantage that it is suitable for real-time implementation using single-frequency GPS measurements and is computationally efficient.

A Sttudy on the Optimal estimation of the Fixed Position and Compterization of the Navigational Calculations (실측선위의 정도개선과 항법계산의 전산화에 관한 연구)

  • 하주식;윤여정
    • Journal of the Korean Institute of Navigation
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    • v.7 no.2
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    • pp.1-45
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    • 1983
  • This paper concerns the applications of the Kalman filter to navigation and the develment of computer programs of the navigational calculations. Methods to apply the Kalman filter to celestial fix, fix by cross bearing and cocked hat are proposed, and numerical simulations under various noise conditiions are conducted. The accuracy of the optimal positions obtained by the Kalman filter is compared with that of the fixed positiions by radial error method. In the case of celestial fix, an algorithm to estimate the optimal positions by using the linear Kalman filter is presented. The optimal positions by the Kalman filter are compared with the running fixes and with the most probable positions obtained from a single line of position. It is confirmed that the resutls of the proposed method are more accurate than the others. In practical piloting, bearings are generally measured intermittently and the measurement process is nonlinear. It is, therefore, difficult for us to apply the Kalman filter to fix by cross bearing. In order to be used in such an unfavorable case, the extended Kalman filter is revised and the aplicability of the revised extended Kalman filter is checked by numerical simulation under various noise conditions. In a cocked hat, an inside or outside fix is dependent only upon azimuth spread, if the error of each line of position is assumed to be equal both in magnitude and sign. A new technique of selecting a ship's position between an inside fix and an outside fix in a cocked hat by using fix determinant derived from the equation of three lines of position is also presented. The relations among the optimal position by Kalman filter, incentre (or excentre) and random error centtre of the cocked hat are discussed theoretically and the accuracy of the optimal position is compared with that of the others by numerical simulation.

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New Sensorless Control Strategy for a Permanent Magnet Synchronous Motor based on an Instantaneous Reactive Power (순시무효전력을 이용한 영구자석 동기전동기의 새로운 센서리스 제어)

  • 최양광;김영석;한윤석
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.53 no.4
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    • pp.247-254
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    • 2004
  • The mechanical informations such as the rotor speed and angle are required to operate the Cylindrical Permanent Magnet Synchronous Motor(PMSM). A resolver or encoder is typically used to supply the mechanical informations. This position sensor adds length to the machine, raises system cost, increases rotor inertia and requires additional devices. As the result, there has been a significant interest in the development of sensorless strategies to eliminate the position sensor. This paper presents an implementation of the new sensorless speed comtrol scheme for a PMSM. In the proposed algorithm, the line currents are estimated by a observer and the estimated speed can be yielded from the voltage equation because the information of speed is included in back emf. But the speed estimation error between the estimated and the real speeds is occured by errors due to measuring the motor parameters and sensing the line current and the input voltage. To minimize the speed estimations error, the estimated speeds are compensated by using an instantaneous reactive power in synchronously rotating reference frame. In this paper, the proposed algorithm is not affected by mechanical motor parameters because the mechanical equation is not used. The effectiveness of algorithm is confirmed by the experiments.

Development of High-resolution 3-D PIV Algorithm by Cross-correlation (고해상도 3차원 상호상관 PIV 알고리듬 개발)

  • Kim, Mi-Young;Choi, Jang-Woon;Lee, Hyun;Lee, Young-Ho
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.410-416
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    • 2001
  • An algorithm of 3-D particle image velocimetry(3D-PIV) was developed for the measurement of 3-D velocity field of complex flows. The measurement system consists of two or three CCD camera and one RGB image grabber. In this study, stereo photogrammetty was applied for the 3-D matching of tracer particles. Epipolar line was used to decect the stereo pair. 3-D CFD data was used to estimate algorithm. 3-D position data of the first frame and the second frame was used to find velocity vector. Continuity equation was applied to extract error vector. The algorithm result involved error vecotor of about 0.13 %. In Pentium III 450MHz processor, the calculation time of cross-correlation for 1500 particles needed about 1 minute.

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Design of Adaptive Discrete Time Sliding-Mode Tracking Controller for a Hydraulic Proportional Control System Considering Nonlinear Friction (비선형 마찰을 고려한 유압비례제어 시스템의 적응 이산시간 슬라이딩모드 추적 제어기 설계)

  • Park, H.B.
    • Journal of Power System Engineering
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    • v.9 no.4
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    • pp.175-180
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    • 2005
  • Incorrections between model and plant are parameter, system order uncertainties and modeling error due to disturbance like friction. Therefore to achieve a good tracking performance, adaptive discrete time sliding mode tracking controller is used under time-varying desired position. Based on the diophantine equation, a new discrete time sliding function is defined and utilized for the control law. Robustness is increased by using both a recursive least-square method and a sliding function-based nonlinear feedback. The effectiveness of the proposed control algorithm is proved by the results of simulation and experiment.

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Design of Nonlinear Fixed-interval Smoother for Off-line Navigation (오프라인 항법을 위한 비선형 고정구간 스무더 설계)

  • 유재종;이장규;박찬국;한형석
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.11
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    • pp.984-990
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    • 2002
  • We propose a new type of nonlinear fixed interval smoother to which an existing nonlinear smoother is modified. The nonlinear smoother is derived from two-filter formulas. For the backward filter. the propagation and the update equation of error states are derived. In particular, the modified update equation of the backward filter uses the estimated error terms from the forward filter. Data fusion algorithm, which combines the forward filter result and the backward filter result, is altered into the compatible form with the new type of the backward filter. The proposed algorithm is more efficient than the existing one because propagation in backward filter is very simple from the implementation point of view. We apply the proposed nonlinear smoothing algorithm to off-line navigation system and show the proposed algorithm estimates position, and altitude fairly well through the computer simulation.

The General Analysis of an Active Stereo Vision with Hand-Eye Calibration (핸드-아이 보정과 능동 스테레오 비젼의 일반적 해석)

  • Kim, Jin Dae;Lee, Jae Won;Sin, Chan Bae
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.5
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    • pp.83-83
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    • 2004
  • The analysis of relative pose(position and rotation) between stereo cameras is very important to determine the solution that provides three-dimensional information for an arbitrary moving target with respect to robot-end. In the space of free camera-model, the rotational parameters act on non-linear factors acquiring a kinematical solution. In this paper the general solution of active stereo that gives a three-dimensional pose of moving object is presented. The focus is to achieve a derivation of linear equation between a robot′s end and active stereo cameras. The equation is consistently derived from the vector of quaternion space. The calibration of cameras is also derived in this space. Computer simulation and the results of error-sensitivity demonstrate the successful operation of the solution. The suggested solution can also be applied to the more complex real time tracking and quite general and are applicable in various stereo fields.

The General Analysis of an Active Stereo Vision with Hand-Eye Calibration (핸드-아이 보정과 능동 스테레오 비젼의 일반적 해석)

  • 김진대;이재원;신찬배
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.5
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    • pp.89-90
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    • 2004
  • The analysis of relative pose(position and rotation) between stereo cameras is very important to determine the solution that provides three-dimensional information for an arbitrary moving target with respect to robot-end. In the space of free camera-model, the rotational parameters act on non-linear factors acquiring a kinematical solution. In this paper the general solution of active stereo that gives a three-dimensional pose of moving object is presented. The focus is to achieve a derivation of linear equation between a robot's end and active stereo cameras. The equation is consistently derived from the vector of quaternion space. The calibration of cameras is also derived in this space. Computer simulation and the results of error-sensitivity demonstrate the successful operation of the solution. The suggested solution can also be applied to the more complex real time tracking and quite general and are applicable in various stereo fields.

Development of a Inspection System for the Metal Mask Using a Vision System

  • Choi, Kyung-jin;Park, Chong-Kug;Lee, Yong-Hyun;Park, Se-Seung
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.140.2-140
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    • 2001
  • In this paper, we develop the system which inspects the metal mask using area scan camera and belu type xy-table and introduce its inspection algorithm. Thes whole area of the metal mask is divides into several inspection block and the sixe of a inspection block is decided by FOV(Field of View). To compare with the camera image of each block, the reference image is made by gerber file. The ratation angle of the metal mask is calculated through the linear equation that is substituted two end points of horizontal boundary of a specific hole in a camera image for. To calculate the position error caused by belt type xy-table, hough-transform using the distances among the holes in two images os used. The center of the reference image is moved as much as the calculated position error to be coincide with the camera image ...

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Installation Error Calibration by Using Levenberg-Marquardt Method on a Cubic Parallel Manipulator (Levenberg-Marquardt 방법을 이용한 육면형 병렬기구의 설치 오차 보정)

  • 임승룡;임현규;최우천;송재복;홍대희
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.2
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    • pp.184-191
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    • 2003
  • A parallel manipulator has high stiffness and all the joint errors on the device are not accumulated at the end -effector unlike a serial manipulator. These are the reasons why the parallel manipulator has been widely used in many fields of industry. In the parallel manipulator, it is very important to predict the exact pose of the end-effector when we want to control the end-effector motion. Installation errors have to be determined in order to predict and control the actual position and pose of the end-effector. This paper presents an algorithm to find the whole 36 joint error components with joint clearance errors and measurement errors considered, when a link length measurement sensor is used and data more than 36 times are acquired for 36 different configurations. A simulation test using this algorithm is performed with a Matlab program which uses the Levenberg-Marquardt method that is known to be efficient for non-linear optimization.