• Title/Summary/Keyword: Kinematic redundancy

Search Result 57, Processing Time 0.02 seconds

Inverse kinematics of a Reclaimer: Redundancy and a Closed- Form Solution by Exploiting Geometric Constraints (원료불출기의 역기구학: 여유자유도와 구속조건을 이용한 닫힌 형태의 해)

  • Hong, K.S.;Kim, Y.M.;Shin, K.T.
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.14 no.7
    • /
    • pp.144-153
    • /
    • 1997
  • The inverse kinematics problem of a reclaimer which excavates and transports raw materials in a raw yard is investigated. Because of the geometric feature of the equipment in which scooping buckets are attached around the rotating disk, kinematic redundancy occurs in determining joint variable. Link coordinates are introduced following the Denavit-Hartenbery representation. For a given excavation point the forward kinematics yields 3 equations, however the number of involved joint variables in the equations is four. It is shown that the rotating disk at the end of the boom provides an extra passive degree of freedom. Two approaches are investigated in obtaining inverse kinematics solutions. The first method pre-assigns the height of excavation point which can be determined through path planning. A closed form solution is obtained for the first approach. The second method exploits the orthogonality between the normal vector at the excavation point and the z axis of the end-effector coordinate system. The geometry near the reclaiming point has been approximated as a plane, and the plane equation has been obtained by the least square method considering 8 adjacent points near the point. A closed form solution is not found for the second approach, however a linear approximate solution is provided.

  • PDF

A Study on the Optimal Solution for the Manipulation of a Robot with Four Limbs (4지 로봇의 최적 머니퓰레이션에 관한 연구)

  • Lee, Ji Young;Sung, Young Whee
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.64 no.8
    • /
    • pp.1231-1239
    • /
    • 2015
  • We developed a robot that has four limbs, each of which has the same kinematic structure and has 6 degrees of freedom. The robot is 600mm high and weighs 4.3kg. The robot can perform walking and manipulating task by using the four limbs selectively. The robot has three walking patterns. The first one is biped walking, which uses two rear limbs as legs and two front limbs as arms. The second one is biped walking with supporting arms, which is basically biped walking but uses two arms as supporting legs for increasing stability of the robot. The last one is quadruped walking, which uses all the four limbs as legs. When a task for the robot is given, the robot approaches the task point by selecting an appropriate walking pattern among three walking patterns and performs the task. The robot has many degrees of freedom and is a redundant system for a three dimensional task. We propose a redundancy resolution method, in which the robot’s translational move to the task point is modeled as a prismatic joint and optimal solutions are obtained by optimizing some performance criteria. Several simulations are performed for the validity of the proposed method.

Analysis of singularity and redundancy control for robot-positioner system (로봇과 포지셔너 시스템의 특이성 분석과 여유 자유도 제어)

  • 전의식;장재원;서일홍;오재응;염성하
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.12 no.6
    • /
    • pp.1252-1264
    • /
    • 1988
  • Recently industrial robots together with positioners are often used to enhance the system performance for arc welding. In this paper, a redundancy control method is proposed to the robot-positioner system with seven degrees of freedom, where one kinematic modelling technique is employed. Also, manipulability in the given cutting plane of the workspace. An algorithm maximizing the manipulability is applied to the robot and the positioner and the simulation results are shown for the task following a linear path.

Analysis of dynamic manipulability for multiple cooperating robot system based on matrix decomposition (행렬 Decomposition 방법에 기초한 다중협동 로봇의 동적 조작도 해석)

  • 이지홍;조복기
    • Proceedings of the IEEK Conference
    • /
    • 2003.07c
    • /
    • pp.2705-2708
    • /
    • 2003
  • In this paper, we propose a method that applies matrix decomposition technique to the connection of actuator capabilities of each robot to object acceleration limits for multiple cooperative robot systems. The robot systems under consideration are composed of several robot manipulators and each robot contacts a single object to carry the object while satisfying the constraints described in kinematics as well as dynamics. By manipulating kinematic and dynamic equations of both robots and objects, we at first derive a matrix relating joint torques with object acceleration, manipulate the null space of the matrix, and then we decompose the matrix into three parts representing indeterminancy, connectivity, and redundancy. With the decomposed matrix we derive the boundaries of object accelerations from given joint actuators. To show the validity of the proposed method some examples are given in which the results can be expected by intuitive observation.

  • PDF

Biomimetic Trajectory Planning Via Redundant Actuation (여유구동을 활용한 생체모방 궤적계획)

  • 이재훈;이병주
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.9 no.6
    • /
    • pp.456-465
    • /
    • 2003
  • It is well-known that bio-systems does not calculate inverse dynamics for trajectory planning, but they move by proper modulation of system impedances. Inspired by bio-systems, a biomimetic trajectory planning method is proposed in this work. This scheme is based on employment of redundant actuation which prevails in bio-systems. We discuss that for the generation of the biomimetic trajectory, intelligent structure of bio-systems plays an important role. Redundant actuation and kinematic redundancy fall into such a category of intelligent structure. The proposed biomimetic trajectory planning modulates the complete dynamic behavior such as natural frequencies and damping ratios by using the intelligent structure. Experimental work is illustrated to show the effectiveness of the proposed biomimetic trajectory planning for a five-bar mechanism with redundant actuators.

Odometry and Navigation of an Omni-directional Mobile Robot with Active Caster Wheels (구동 캐스터 바퀴를 이용한 전방향 모바일 로봇의 오도메트리와 내비게이션)

  • Jung, Eui-Jung;Yi, Byung-Ju
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.15 no.10
    • /
    • pp.1014-1020
    • /
    • 2009
  • This work deals with navigation of an omni-directional mobile robot with active caster wheels. Initially, the posture of the omni-directional mobile robot is calculated by using the odometry information. Next, the position accuracy of the mobile robot is measured through comparison of the odometry information and the external sensor measurement. Finally, for successful navigation of the mobile robot, a motion planning algorithm that employs kinematic redundancy resolution method is proposed. Through experiments for multiple obstacles and multiple moving obstacles, the feasibility of the proposed navigation algorithm was verified.

A Kinematic Control Method for Redundant Robots in Singular Regions (특이 영역에서의 여유 자유도 로보트의 기구학적 제어 방법)

  • 이준수;서일홍;이준홍;오상록
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.39 no.6
    • /
    • pp.631-637
    • /
    • 1990
  • It is well-known that the redundancy can be exploited to avoid the singular regions of the redundant manipulators by increasing the manipulability. The method, however, requires excessive energy and gives rather large tracking errors since the manipulability is increased rapidly so that the manipulator avoids the singular region quickly. In this paper, a new method is proposed in which the increasing speed of the manipulability is confined to a certain bound. Therefore, in the proposed method, the movement energy and the tracking errors are reduced. The computer simulation studies are performed to show the validity of the method.

  • PDF

Analysis on Human Musculoskeletal Structures with Application to Design of Adjustable Spring Mechanisms (인체의 근육구조에 대한 해석과 가변스프링 메커니즘 설계로의 적용)

  • 이병주;이재훈;김희국
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.5 no.2
    • /
    • pp.208-219
    • /
    • 1999
  • Springs have been employed in a wide range of mechanical systems. This work deals with the concept of an adaptable spring mechanism which can arbitrarily modulate its spring characteristics. The adaptable spring is desired for enhancing performances of various mechanical systems employing springs. We demonstrate that such adaptable springs can be realized by adapting anthropomorphic musculoskeletal structures of the human upper-extremity, which possesses highly nonlinear kinematic-coupling among redundant muscles existing in its structures. This phenomenon has been explained by several human arm models. Based on the analysis results, we propose multi-degree-of-freedom spring mechanisms resembling the musculoskeletal structure of the human upper-extremity, and verifiy the applicability of these mechanisms through simulation.

  • PDF

Analysis of Geometric Stability in Robot Force Control (로보트를 이용한 힘제어에서의 기하학적 안정성에 관한 해석)

  • 이병주
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.9
    • /
    • pp.2284-2296
    • /
    • 1994
  • Force control of robotic mechanisms continues to be a challenging area. Previous implementation have seldom produced satisfactory results, and researchers in the past have experienced significant instability problems associated with their force controllers. In this study, a new stability factor in force control will be pointed out. When a manipulator is constrained to an environment(force-controlled), geometric instability due to the relationship between the manipulator configuration and the force-controlled direction is shown to be a significant factor in overall system stability. This exploratory study points out a rather intuitive, geometrically based stability factor in terms of an effective system stiffness and analyzes the phenomenon both analytically and graphically. Also, a stiffness control algorithm using the kinematic redundancy of a kinematically redundant manipulator is proposed to improve the overall stability in force control.

A Dynamic Modeling and Analysis for High-speed Walking of a Quadrupedal Robot (사각보행기의 고속 보행제어를 위한 동적 모델링 및 해석)

  • Kang, Sung-Chul;Yoo, Hong-Hee;Kim, Mun-Sang;Lee, Kyo-Il
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.21 no.5
    • /
    • pp.756-768
    • /
    • 1997
  • In order to control a dynamic gait of quadrupedal walking robot, the equations of motion of the whole mechanism are required. In this research, the equations of motion are formulated analytically using Kane's dynamic approach. As a dynamic gait model, a trot gait has been adopted. The degree of freedom of whole mechanism could be reduced to 7 by idealizing the kinematic feature of the trot gait. Using the equations of motion formulated, the results of the redundant-joint torque analysis and the simulation of dynamic walking motion are presented.