• Title/Summary/Keyword: a inverse kinematics

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Natural Resolution of DOF Redundancy in Execution of Robot Tasks;Stability on a Constraint Manifold

  • Arimoto, S.;Hashiguchi, H.;Bae, J.H.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.180-185
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    • 2003
  • In order to enhance dexterity in execution of robot tasks, a redundant number of degrees-of-freedom (DOF) is adopted for design of robotic mechanisms like robot arms and multi-fingered robot hands. Associated with such redundancy in the number of DOFs relative to the number of physical variables necessary and sufficient for description of a given task, an extra performance index is introduced for controlling such a redundant robot in order to avoid arising of an ill-posed problem of inverse kinematics from the task space to the joint space. This paper shows that such an ill-posedness of DOF redundancy can be resolved in a natural way by using a novel concept named “stability on a manifold”. To show this, two illustrative robot tasks 1) robotic handwriting and 2) control of an object posture via rolling contact by a multi-DOF finger are analyzed in details.

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Design of an Arm Section for a Direct Drive SCARA Robot having the Minimum Cycle Time (직접구동방식 수평다관절형 로봇의 최소 싸이클시간을 갖는 로봇팔의 단면설계)

  • Kang, B.S.;Park, K.H.;Kwak, Y.K.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.12
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    • pp.165-172
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    • 1995
  • Many algorithms to enhance a speed performance of a robot have been studied, but it's rare to consider disign aspect of a robot arm for time optimal problem. In this paper, section demensions of a robot arm and a velocity profile of an end-effector were optimally designed to minimize the cycle time. Capacity of actuators, deflections of end-effector, and a fundamental natural frequency of the robot arm were constrained in optimal design. For a given path with a trapezoidal velocity profile, torques of each joint were calculated using the inverse kinematics and dynamics. For the SCARA type robot which is mainly used for assembly tasks, the time optimal design of each robot arm id presented with the above constraints.

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Collision-Free Path Planning for Articulated Robots (다관절 로보트를 위한 충돌 회피 경로 계획)

  • Choi, Jin-Seob;Kim, Dong-Won
    • Journal of Korean Institute of Industrial Engineers
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    • v.22 no.4
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    • pp.579-588
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    • 1996
  • The purpose of this paper is to develop a method of Collision-Free Path Planning (CFPP) for an articulated robot. First, the configuration of the robot is built by a set of robot joint angles derived from robot inverse kinematics. The joint space, that is made of the joint angle set, forms a Configuration space (Cspcce). Obstacles in the robot workcell are also transformed into the Cobstacles using slice projection method. Actually the Cobstacles means the configurations of the robot causing collision with obstacles. Secondly, a connected graph, a kind of roadmap, is constructed by the free configurations in the Cspace, where the free configurations are randomly sampled from a free Cspace immune from the collision. Thirdly, robot paths are optimally determinant in the connected graph. A path searching algorithm based on $A^*$ is employed in determining the paths. Finally, the whole procedures for the CFPP method are shown for a proper articulated robot as an illustrative example.

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Obstacle Avoidance and Playing Soccer in a Quadruped Walking Robot (4족 보행 로봇의 장애물 회피와 축구하기)

  • Seo, Hyeon-Se;Sung, Young Whee
    • IEMEK Journal of Embedded Systems and Applications
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    • v.7 no.3
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    • pp.143-150
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    • 2012
  • In this paper, we introduce an intelligent quadruped walking robot that can perform stable walking and a couple of intelligent behaviors. The developed robot has two sets of ultrasonic sensors and six sets of infrared sensors and can perform obstacle avoidance by detecting obstacles and estimating the distances and directions of those obstacles. The robot also has a stereo camera and can paly soccer by detecting a ball and estimating the 3 dimensional coordinates of the ball. In performing those intelligent behaviors, the robot needs to have the capability of generating its walking patterns, solving the inverse kinematics problem, and interfacing several sensors in realtime. Therefore we designed a hierarchical controller that consists of a main controller and an auxiliary controller. The main controller is a 32-bit DSP that can perform fast floating-point opertaion and the auxiliary one is a 8-bit micro-controller. We showed that the developed quadruped walking robot successfully perform those intelligent behaviors through experiments.

Sequential Quadratic Programming based Global Path Re-Planner for a Mobile Manipulator

  • Lee Soo-Yong
    • International Journal of Control, Automation, and Systems
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    • v.4 no.3
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    • pp.318-324
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    • 2006
  • The mobile manipulator is expected to work in partially defined or unstructured environments. In our global/local approach to path planning, joint trajectories are generated for a desired Cartesian space path, designed by the global path planner. For a local path planner, inverse kinematics for a redundant system is used. Joint displacement limit for the manipulator links is considered in the motion planner. In an event of failure to obtain feasible trajectories, the task cannot be accomplished. At the point of failure, a deviation in the Cartesian space path is obtained and a replanner gives a new path that would achieve the goal position. To calculate the deviation, a nonlinear optimization problem is formulated and solved by standard Sequential Quadratic Programming (SQP) method.

Resolution of kinematic redundancy using contrained optimization techniques under kinematic inequality contraints

  • Park, Ki-Cheol;Chang, Pyung-Hun
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.69-72
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    • 1996
  • This paper considers a global resolution of kinematic redundancy under inequality constraints as a constrained optimal control. In this formulation, joint limits and obstacles are regarded as state variable inequality constraints, and joint velocity limits as control variable inequality constraints. Necessary and sufficient conditions are derived by using Pontryagin's minimum principle and penalty function method. These conditions leads to a two-point boundary-value problem (TPBVP) with natural, periodic and inequality boundary conditions. In order to solve the TPBVP and to find a global minimum, a numerical algorithm, named two-stage algorithm, is presented. Given initial joint pose, the first stage finds the optimal joint trajectory and its corresponding minimum performance cost. The second stage searches for the optimal initial joint pose with globally minimum cost in the self-motion manifold. The effectiveness of the proposed algorithm is demonstrated through a simulation with a 3-dof planar redundant manipulator.

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Task based design of modular robot manipulator using efficient genetic algorithms

  • Han, Jeongheon;Chung, Wankyun;Youm, Youngil;Kim, Seungho
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.243-246
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    • 1996
  • Modular robot manipulator is a robotic system assembled from discrete joints and links into one of many possible manipulator configurations. This paper describes the design method of newly developed modular robot manipulator and the methodology of a task based reconfiguration of it. New locking mechanism is proposed and it provides quick coupling and decoupling. A parallel connection method is devised and it makes modular robot manipulator working well and the number of components on each module reduced. To automatically determine a sufficient or optimal arrangement of the modules for a given task, we also devise an algorithm that automatically generates forward and inverse manipulator kinematics, and we propose an algorithm which maps task specifications to the optimized manipulator configurations. Efficient genetic algorithms are generated and used to search for a optimal manipulator from task specifications. A few of design examples are shown.

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Analysis of the Workspace of Cubic Parallel Manipulator (육면형 병렬기구의 작업공간 해석)

  • Choi, Woo-Chun;Jung, Tae-Joong
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.795-800
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    • 2000
  • In a parallel manipulator, there are three constraints that determine workspace: link length constraint, passive joint angle constraint, and interference among links. Generally, the link length constraint is the most dominant. The interference among links is, however, also an important parameter in designing a desired parallel manipulator. In this study, the interference among links is mathematically modeled by considering the links as a line and a cylinder of radius of twice the link radius, and a new algorithm is suggested to check if arbitrary two links interfere each other or not. The workspace of a cubic parallel manipulator is illustrated in a 2D space satisfying the three constraints.

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Implementation and Experimentation of Tracking Control of a Moving Object for Humanoid Robot Arms ROBOKER by Stereo Vision (스테레오 비전정보를 사용한 휴머노이드 로봇 팔 ROBOKER의 동적 물체 추종제어 구현 및 실험)

  • Lee, Woon-Kyu;Kim, Dong-Min;Choi, Ho-Jin;Kim, Jeong-Seob;Jung, Seul
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.10
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    • pp.998-1004
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    • 2008
  • In this paper, a visual servoing control technique of humanoid robot arms is implemented for tracking a moving object. An embedded time-delayed controller is designed on an FPGA(Programmable field gate array) chip and implemented to control humanoid robot arms. The position of the moving object is detected by a stereo vision camera and converted to joint commands through the inverse kinematics. Then the robot arm performs visual servoing control to track a moving object in real time fashion. Experimental studies are conducted and results demonstrate the feasibility of the visual feedback control method for a moving object tracking task by the humanoid robot arms called the ROBOKER.

Fast Motion Synthesis of Massive Number of Quadruped Animals

  • Sung, Man-Kyu
    • International Journal of Contents
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    • v.7 no.3
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    • pp.19-28
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    • 2011
  • This paper presents a fast and practical motion synthesis algorithm for massive number of quadruped animals. The algorithm constructs so called speed maps that contain a set of same style motions but different speed from a single cyclic motion by using IK(Inverse Kinematics) solver. Then, those speed maps are connected each other to form a motion graph. At run time, given a point trajectory that obtained from user specification or simulators, the algorithm retrieves proper speed motions from the graph, and modifies and stitches them together to create a long seamless motion in real time. Since our algorithm mainly targets on the massive quadruped animal motions, the motion graph create wide variety of different size of characters for each trajectory and automatically adjusted synthesized motions without causing artifact such as foot skating. The performance of algorithm is verified through several experiments