• Title/Summary/Keyword: Cartesian space control

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A Position Control for a Parallel Stage with 6 degrees of freedom Using Magnetic Actuators (전자기 구동장치를 이용한 병렬형 6자유도 스테이지의 위치제어)

  • Lee Se-Han
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.7 s.172
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    • pp.102-111
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    • 2005
  • In this paper, we address a position control for a parallel stage, which is levitated and driven by electric magnetic force. This consists of a levitating object (called platen) with 4 permanent magnetic linear synchronous motors in parallel. Each motor generates vertical force for suspension against gravity and propulsion force horizontally as well. This stage can generate six degrees of freedom motion by the vertical and horizontal force. A dynamic equation of the stage system is derived based on Newton-Euler method and it's special Jacobian matrix describing a relation between the limited velocity and Cartesian velocity is done. There are proposed two control methods for positioning which are Cartesian space controller and Actuator space controller. The control performance of the Cartesian space controller is better than the Actuator space controller in task space trajectory while the Actuator space controller is simpler than the Cartesian space controller in controller realization.

A Study on Straight Line Trajectoties of Robot Mainpulator in Cartesian Space (직각좌표 공간에서 로봇 매니퓰레이터의 직선 궤적계획에 관한 연구)

  • Han, Sang-Wan;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.763-766
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    • 1991
  • The moving of each axis in the robot manipulator can be represented with the motion of cartesian space. This paper shows the robot manipulator of the straight line trajectory planning algorithms in the cartesian space. The relation formulas between cartesian space and joint space are induced to accomplish a desired trajectory in the cartesian space and the velocity vector of sampling time in the cartesian space is transformed into the velocity vector of joint by the interpolation method. The error of trajectory in moving is removed by obtaining the real position for the present joint position and the desired distance is made by comparing the real position and the next position. Through the simple tests for suggested algorithms are confirmed the validity of algorithms.

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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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A Cartesian Space Adaptive Control Scheme for Robot Manipulators (로봇 매니퓰레이터의 직교공간 적응제어 방식)

  • Hwang, Seok-Yong;Lyou, Joon
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.397-400
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    • 1991
  • This paper presents a cartesian space decentralized adaptive controller design for the end effector of the robot manipulator to track the given desired trajectory in the cartesian coordinate. By the cartesian based control scheme, the task related high level motion command is directly executed without solving the complex inverse kinematic equations. The controller does not require the complex manipulator dynamic model, and hence it is computationally very efficient. Each degree of freedom of the end effector on the cartesian space is controlled by a PID feedback controller and a velocity acceleration feed forward conpensation part. Simulation results for a two-link direct drive manipulator conform that the present cartesian based decentralized scheme is feasible.

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Position Control of a Precise 6-D.O.F Stage with Magnetic Levitation (자기부상을 이용한 초정밀 6자유도 스테이지의 위치제어)

  • 이세한;강재관;김용주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.894-897
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    • 2004
  • In this paper, we address a position control scheme for a stage system, which is levitated and driven by electric magnetic actuators. This consists of a levitating object (called platen) with 4 permanent magnetic linear synchronous motors in parallel. Each motor generates vertical force for suspension against gravity and propulsion force horizontally as well. This stage can generate six degrees of freedom motion by the vertical and horizontal forces. Dynamic equations of the stage system are derived based on Newton-Euler method and its special Jacobian matrix describing a relation between the Joint velocity and platen velocity is done. There are proposed two control schemes for positioning, which are Cartesian space controller and Joint space controller. The control performance of the Cartesian space controller is better than the Joint space controller in task space trajectory while the Joint space controller is simpler than the Cartesian space controller in controller realization.

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Cartesian Space Nonlinear PD Control for the Multi-tink Flexible Manipulators

  • Cheong, Joono;Chung, Wankyun;Youm, Youngil
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.21-24
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    • 1999
  • There-have been many control strategies for the enact joint position tracking of flexible manipulators, but direct cartesian space tracking control methods an not developed well. In this paper, we propose a PD control method based on the cartesian error in the end point trajectory tracking. the proposed controller is composed of PD control combined with nonlinear saturation term hut has a very simple form. the effect of this term is continuous suppression of vibration which is induced by the coupling of rigid motion. This control works both on the regulation and on the tracking cases. The performance and validity of this control method is shown by simulation examples.

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Kinematic jacobian uncertainty compensation using neural network (신경회로망을 이용한 기구학적 자코비안의 불확실성 보상 알고리즘)

  • Jung, Seul
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1820-1823
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    • 1997
  • For the Cartesian space position controlled robot, it is required to have the accurate mapping from the Cartesian space to the joint space in order to command the desired joint trajectories correctly. since the actual mapping from Cartesian space to joint space is obtained at the joint coordinate not at the actuator coordinate, uncertainty in Jacobian can be present. In this paper, two feasible neural network schemes are proposed to compensate for the kinematic Jacobian uncertainties. Uncertainties in Jacobian can be compensated by identifying either actuator Jacobian off-line or the inverse of that in on-line fashion. the case study of the stenciling robot is examined.

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Cartesian Space Direct Teaching for Intuitive Teaching of a Sensorless Collaborative Robot (센서리스 협동로봇의 직관적인 교시를 위한 직교공간 직접교시)

  • Ahn, Kuk-Hyun;Song, Jae-Bok
    • The Journal of Korea Robotics Society
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    • v.14 no.4
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    • pp.311-317
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    • 2019
  • Direct teaching is an essential function for collaborative robots for easy use by non-experts. For most robots, direct teaching is implemented only in joint space because the realization of Cartesian space direct teaching, in which the orientation of the end-effector is fixed while teaching, requires a measurement of the end-effector force. Thus, it is limited to the robots that are equipped with an expensive force/torque sensor. This study presents a Cartesian space direct teaching method for torque-controlled collaborative robots without either a force/torque sensor or joint torque sensors. The force exerted to the end-effector is obtained from the external torque which is estimated by the disturbance observer-based approach with the friction model. The friction model and the estimated end-effector force were experimentally verified using the robot equipped with joint torque sensors in order to compare the proposed sensorless approach with the method using torque sensors.

Compliance Analysis and Vibration Control of the Safe Arm with MR-based Passive Compliant Joints

  • Yun, Seung-Kook;Yoon, Seong-Sik;Kang, Sung-Chul;Yeo, In-Teak;Kim, Mun-Sang;Lee, Chong-Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2010-2015
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    • 2003
  • In this paper, a design and control of the safe arm with passive compliant joints(PCJ) is presented. Each PCJ has a magneto- rheological damper and maximum 6 springs. Compliance analysis in Cartesian space is performed with the compliance ellipsoid; this analysis shows a map between compliance in the joint space and compliance in Cartesian space. Vibration control of the arm using an input shaping technique is also presented; the results of a simulation and an experiment prove that a fast motion of the safe arm without residual vibration can be performed.

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Force control of a structurally flexible robotic manipulator

  • 최병오
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1992.04a
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    • pp.369-373
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    • 1992
  • Force control of a planar two-link structurally flexible robotic manipulator is considered in this study. The dynamic model is obtained by using the extended Hamilton's principle and the Galerkin criterion. A method is pressented toobtain the linearized equations of motion in Cartesian space for use in designing the control system. The approachto solving the control problem is to use feedforward and feedback control torques. The feedforward torques maneuver the flexible manipulatro along a nominal trajectory and the feedback torques minimize any deviations from the nominal trajectory. The linear quadratic Gaussian/loop transfer recovery (LQG/LTR) design methodology is explotied to design a robust feedback control system that can handle modeling errors and sensor noise, and operates on Cartesian space trajectory errors. The Lqg/LTR compenstaor together with a feedforward ollp is used to control the flexible manipulator. Simulated results are presented for a numerical example.