• Title/Summary/Keyword: manipulability measure

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Manipulability Analysis of a Parallel Machine Tool: Application to Optimal Link Parameters Design (병렬형 공작기계의 조작성 해석: 기구부 최적설계에 적용)

  • Kim, Jeom-Goo;Hong, Keum-Shik;Park, Frank-C.;Kim, Jong-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.11
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    • pp.213-223
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    • 1999
  • In this paper, input-output transmission characteristics of the Eclipse, which is a parallel machine tool capable of 5 face rapid machining, are investigated. By splitting the weighted Jacobian matrix into two parts, the force and moment transmission characteristics together with the velocity and angular velocity transmission characteristics are analyzed. A new manipulability measure, which combines the volume of the manipulability ellipsoid and the condition number of the splitted Jcobian matrix, is proposed. Two link parameters, the ratio of upper and lower platforms' radii and the length of a supporting link of the Eclipse, are designed by applying the new manipulability measure derived. Computer simulations are provided.

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Optimal Trajectory Planning for Cooperative Control of Dual-arm Robot (양팔 로봇의 협조제어를 위한 최적 경로 설계)

  • Park, Chi-Sung;Ha, Hyun-Uk;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.9
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    • pp.891-897
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    • 2010
  • This paper proposes a cooperative control algorithm for a dual-arms robot which is carrying an object to the desired location. When the dual-arms robot is carrying an object from the start to the goal point, the optimal path in terms of safety, energy, and time needs to be selected among the numerous possible paths. In order to quantify the carrying efficiency of dual-arms, DAMM (Dual Arm Manipulability Measure) has been defined and applied for the decision of the optimal path. The DAMM is defined as the intersection of the manipulability ellipsoids of the dual-arms, while the manipulability measure indicates a relationship between the joint velocity and the Cartesian velocity for each arm. The cost function for achieving the optimal path is defined as the summation of the distance to the goal and inverse of this DAMM, which aims to generate the efficient motion to the goal. It is confirmed that the optimal path planning keeps higher manipulability through the short distance path by using computer simulation. To show the effectiveness of this cooperative control algorithm experimentally, a 5-DOF dual-arm robot with distributed controllers for synchronization control has been developed and used for the experiments.

Dynamic Modeling and Manipulability Analysis of Underwater Robotic Arms (수중로봇팔의 동역학 모델링과 동적 조작도 해석)

  • Jnn Bong-Huan;Lee Jihong;Lee Pan-Mook
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.8
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    • pp.688-695
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    • 2005
  • This paper describes dynamic manipulability analysis of robotic arms moving in viscous fluid. The manipulability is a functionality of manipulator system in a given configuration under the limits of joint ability with respect to the task required to be performed. To investigate the manipulability of underwater robotic arms, a modeling and analysis method is presented. The dynamic equation of motion of underwater manipulator is derived based on the Lagrange-Euler equation considering with the hydrodynamic forces caused by added mass, buoyancy and hydraulic drag. The hydrodynamic drag term in the equation is established as analytical form using Denavit-Hartenberg (D-H) link coordination of manipulator. Two analytical approaches based oil manipulability ellipsoid are presented to visualize the manipulability of robotic arm moving in viscous fluid. The one is scaled ellipsoid which transforms the boundary of joint torque to acceleration boundary of end-effector by normalizing the torques in joint space, while the other is shifted ellipsoid which depicts total acceleration boundary of end-effector by shifting the ellipsoid as much as gravity and velocity dependent forces in work space. An analysis example of 2-link manipulator with proposed analysis scheme is presented to validate the method.

Optimal Design of a New Rolling Mill Based upon Stewart Platform Manipulator : Maximization of Kinematic Manipulability (병렬구조 신 압연기의 최적설계 : 조작성 및 제어성능의 최대화)

  • Hong, Geum-Sik;Lee, Seung-Hwan;Choe, Jin-Tae
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.9
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    • pp.764-775
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    • 2002
  • A kinematic and dynamic optimal design of a new parallel-type rolling mill based upon Stewart platform manipulator is investigated. To provide sufficient degrees-of-freedom in the rolling process and the structural stability of each stand, a parallel manipulator with six legs is considered. The objective of this new parallel-type rolling mill is to permit an integrated control of the strip thickness, strip shape, pair crossing angle, uniform wear of the rolls, and tension of the strip. By splitting the weighted Jacobian matrices Into two parts, the linear velocity, angular velocity, force, and moment transmissivities are analyzed. A manipulability measure, the ratio of the manipulability ellipsoid volume and the condition number of a split Jacobian matrix, is defined. Two kinematic parameters, the radius of the base and the angle between two neighboring Joints, are optimally designed by maximizing the global manipulability measure in the entire workspace. The maximum force needed in the hydraulic actuator is also calculated using the structure determined through the kinematic analysis and the Plucker coordinates. Simulation results are provided.

Dynamic Manipulability Analysis of Underwater Robotic Arms with Joint Velocities (관절속도를 가지는 수중로봇팔의 동적 조작도 해석)

  • JEON BONG-HWAN;LEE JIHONG;LEE PAN-MOOK
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2004.05a
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    • pp.204-209
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    • 2004
  • This paper describes dynamic manipulability analysis of robotic arms moving in viscous fluid. The Manipulability is a functionality of manipulator system in a given configuration and under the limits of joint ability with respect to the tasks required to bt performed. To investigate the manipulability of underwater robotic arms, a modeling and analysis method are presented. The dynamic equation of motion of underwater manipulator is derived from the Lagrange - Euler equation considering with the hydraulic forces caused by added mass, buoyancy and hydraulic drag. The hydraulic drag term in the equation: is established as analytical form using Denavit - Hartenberg (D-H) link coordination of manipulator. Two analytical approaches based on Manipulability Ellipsoid are presented to visualize the manipulability of robotic arm moving in viscous fluid. The one is scaled ellipsoid which transforms the boundary of joint torque to acceleration boundary of end-effector by normalizing the torque in joint space while the other is shifted ellipsoid which depicts total acceleration boundary of end-effector by shifting the ellipsoid in work space. An analysis example of 2-link manipulator with proposed analysis scheme is presented to validate the method.

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Manipulability Analysis of a New Parallel Rolling Mill Based upon Two Stewart Platforms (두 개의 스튜어트 플랫폼을 이용한 병렬형 신 압연기의 조작성 해석)

  • 이준호;홍금식
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.11
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    • pp.925-936
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    • 2003
  • The manipulability analysis of the parallel-type rolling mill proposed in Hong et al. [1] is re-visited. The parallel rolling mill uses two Stewart platforms in opposite direction for the generation of 6 degree-of-freedom motions of each roll. The objective of this new parallel rolling mill is to permit an integrated control of the strip thickness, strip shape, pair crossing angle, uniform wear of rolls, and tension of the strip. New forward/inverse kinematics problems, in contrast with [1], are formulated. The forward kinematics problem is defined as the problem of finding the roll-gap and the pair-crossing angle of two work rolls for given lengths of twelve legs. On the other hand, the inverse kinematics problem is defined as the problem of finding the lengths of twelve legs when the roll-gap, the pair-crossing angle, and the position and orientation of one work roll are given. The method of manipulability analysis used in this paper follows the spirit of [1]. But, because the rolling force and moment exerted from both upper and lower rolls have been included in the manipulability analysis, more accurate results than the use of a single platform can be achieved. Two. kinematic parameters, the radius of the base and the angle between two neighboring joints, are optimally designed by maximizing the global manipulability measure in the entire workspace.

Analysis of singularity and redundancy control for robot-positioner system

  • Jeon, E.S.;Chang, J.W.;Oh, J.E.;Yom, S.H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.615-620
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    • 1989
  • Recently industrial robots are often used together with positioners to enhance the system performance for arc welding. In this paper, the redundancy control method is proposed for the robot-positioner system which is modeled as one kinematic model of 7 degrees of freedom. Also, the manipulability measure based on the Jocobian matrix is utilized to visualize the distribution of manipulability in a given section of the working space. An algorithm for the manipulability maximazation in a given task is developed and applied to the robot and positioner system. The simulation results are given in the case of straight line following.

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Motion Planning for a Mobile Manipulator using Directional Manipulability (방향성 매니퓰러빌리티를 이용한 주행 매니퓰레이터의 운동 계획)

  • Shin Dong Hun
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.5 s.170
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    • pp.95-102
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    • 2005
  • The coordination of locomotion and manipulation has been the typical and main issue for a mobile manipulator. This is particularly because the solution for the control parameters is redundant and the accuracies of controlling the each joints are different. This paper presents a motion planning method for which the mobile base locomotion is less precise than the manipulator control. In such a case, it is appropriate to move the mobile base to discrete poses and then to move the manipulator to track a prescribed path of the end effector, while the base is stationary. It uses a variant of the conventional manipulability measure that is developed for the trajectory control of the end effector of the mobile manipulator along an arbitrary path in the three dimensional space. The proposed method was implemented on the simulation and the experiments of a mobile manipulator and showed its effectiveness.

Continuous Task Performance for Mobile Manipulator Using Task-Oriented Manipulability Measure (Task-Oriented Manipulabi1ity Measure를 이용한 이동매니플레이터의 연속작업 수행)

  • 진기홍;강진구;주진화;허화라;이장명
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.401-401
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    • 2000
  • A mobile manipulator-a serial connection of a mobile robot and a task robot is redundant by itself. Using its redundant freedom, a mobile manipulator can move in various modes, and perform dexterous tasks. An interesting question,

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Optimal configuration control for redundant robot manipulators-manipulability-based approach (여유 자유도 로봇의 최적 자세 제어)

  • Lee, Ji-Hong;Lee, Mi-Gyung;Lee, Young-Il;Yoo, Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.739-742
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    • 1996
  • Several figures representing velocity transmission from joint space to task space are analyzed and compared with each other. The figures include velocity ellipsoid derived from Jacobian matrix, scaled velocity ellipsoid derived from normalized joint velocities, polytope derived by numerical scaling, and polytopes derived by linear combinations of Jacobian column vectors. The results show that the optimal directions given by the measures are not the same and the conventional velocity ellipsoid is not good choice as optimization measure as far as the moving direction is concerned. Simulation examples for 3 d.o.f. redundant robot manipulators in 2-dimensional task space are given for comparison study.

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