• Title/Summary/Keyword: Cartesian and Joint Space

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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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Two Evolutionary Gait Generation Methods for Quadruped Robots in Cartesian Coordinates Space and Join Coordinates Space (직교좌표공간과 관절공간에서의 4족 보행로봇의 두 가지 진화적 걸음새 생성기법)

  • Seo, Kisung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.3
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    • pp.389-394
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    • 2014
  • Two evolutionary gait generation methods for Cartesian and Joint coordinates space are compared to develop a fast locomotion for quadruped robots. GA(Genetic Algorithm) based approaches seek to optimize a pre-selected set of parameters for the locus of paw and initial position in cartesian coordinates space. GP(Genetic Programming) based technique generate few joint trajectories using symbolic regression in joint coordinates space as a form of polynomials. Optimization for two proposed methods are executed using Webots simulation for the quadruped robot which is built by Bioloid. Furthermore, simulation results for two proposed methods are analysed in terms of different coordinate spaces.

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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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.

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.

On Minimum Time Joint-Trajectory Planning for the Cartesian Straight Line Motion of Industrial Robot (산업용 로보트의 카르테시안 직선 운동을 위한 조인트-궤적의 최소 시간화)

  • 전홍태;오세현
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.5
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    • pp.753-761
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    • 1987
  • Approximation of a Cartesian straight line motion with linear interpolation in the joint space has many desirable advantages and applications. But inappropriate determination of the corresponding subtravelling and transition times makes such joint-trajectories violate the input torque/force constraints. An approach that can overcome this difficult and yield the joint trajectories utilizing the allowable maximum input torque/force is established in this paper. The effectiveness of these results is demonstrated by using a three-joint revolute manipulator.

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Inverse Dynamic Analysis of Flexible Multibody System in the Joint Coordinate Space (탄성 다물체계에 대한 조인트좌표 공간에서의 역동역학 해석)

  • Lee, Byung-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.2
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    • pp.352-360
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    • 1997
  • An inverse dynamic procedure for spatial multibody systems containing flexible bodies is developed in the relative joint coordinate space. Constraint acceleration equations are derived in terms of relative coordinates using the velocity transformation technique. An inverse velocity transformation operator, which transforms the Cartesian velocities to the relative velocities, is derived systematically corresponding to the types of kinematic joints connecting the bodies and the system reference matrix. Using the resulting matrix, the joint reaction forces and moments are analyzed in the Cartesian coordinate space. The formulation is illustrated by means of two numerical examples.

Kinimatic Analysis of a New Clss of 6-DOF Parallel Manipulator (새로운 6자유도 병렬 매니퓰레이터의 기구학 해석)

  • Byun, Yong-Kyu;Jo, Hyung-Suck
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.2
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    • pp.414-430
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    • 1996
  • In this paper, a new kinematic structure of a parallel manipulator with six Cartesian degrees of freedom is proposed. It consists of a platform which is connected to a fixed base by means of 3-PPSP(parameters P, S denote the prismatic, spherical joints) subchains. Each subchain has a link which is concected to a passive prismatic joint at the one end and a passive spherical joint at the other. The spherical joint is then attached to perpendicularly arranged prismatic actuators which are fixed at the base. The spherical joint is then attached to perpendicularly arranged prismatic actuators which are fixed at the base. This arrangement provides a basis to control all six Cartesian degrees of motion of the platform in space. Due to its efficient architecture, the colsed-form solutions of the inverse and forward kinematics can be obtained. As a consequence, this new kinematic structure can be servo controlled using simple inverse kinematics becaese forward kinematics allows for measuring the platform's position and orientation in Cartesian space. Furthermore, the proposed structure provides an effective functional workspace. Series of simulations are performed to verify the results of the kinematics analyses.

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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