• Title/Summary/Keyword: Inverse Kinematics Problem

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Driver Assistance System for Backward Motion Control of a Car with a Trailer (차량견인 트레일러의 후진제어를 위한 운전자 보조 시스템)

  • Roh, Jae-Il;Chung, Woo-Jin
    • The Journal of Korea Robotics Society
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    • v.5 no.4
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    • pp.286-293
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    • 2010
  • The trailer system offers efficiency of transportation capability. However, it is difficult to control the backward motion. It is an open loop unstable problem. To solve this problem, we are proposed the driver assistance system. Driver assistance system assists a driver to control the backward motion of trailer system as if forward motion. A driver only secure the rear view of last passive trailer, and select the control input to drive the last passive trailer. The driver assistance system converts the control input of the driver into velocity and steering angle of the vehicle using the inverse kinematics. It is possible by electronic control input devices and the rear view camera. Effectiveness of driving assistance system is verified by the simulation and the experiments.

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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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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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.

Neural optimization networks with fuzzy weighting for collision free motions of redundant robot manipulators

  • Hyun, Woong-Keun;Suh, Il-Hong;Kim, Kyong-Gi
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.564-568
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    • 1992
  • A neural optimization network is designed to solve the collsion-free inverse kinematics problem for redundant robot manipulators under the constraints of joint limits, maximum velocities and maximum accelerations. And the fuzzy rules are proposed to determine the weightings of neural optimization networks to avoid the collision between robot manipulator and obstacles. The inputs of fuzzy rules are the resultant distance, change of the distance and sum of the changes. And the output of fuzzy rules is defined as the capability of collision avoidance of joint differential motion. The weightings of neural optimization networks are adjusted according to the capability of collision avoidance of each joint. To show the validities of the proposed method computer simulation results are illustrated for the redundant robot with three degrees of freedom,

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Locationing of telemanipulator based on task capability

  • Park, Young-Soo;Yoon, Jisup;Cho, Hyung-Suck
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.392-395
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    • 1995
  • This paper presents a time efficient method for determining a sequence of locations of a mobile manipulator that facilitates tracking of continuous path in cluttered environment. Given the task trajectory in the form of octree data structure, the algorithm performs characterization of task space and subsequent multistage optimization process to determine task feasible locations of the robot. Firstly, the collision free portion of the trajectory is determined and classified according to uniqueness domains of the inverse kinematics solutions. Then by implementing the extent of task feasible subspace into an optimization criteria, a multistage optimization problem is formulated to determines the task feasible locations of the mobile manipulator. The effectiveness of the proposed method is shown through a simulation study performed for a 3-d.o.f. manipulator with generic kinematic structure.

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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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A study on kinematics and dynamics of robot arms by simulation (로봇 팔의 운동해석에 관한 연구)

  • 조선휘;김영일;임태홍
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.611-617
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    • 1986
  • In this paper, it is attempted to derive the minimum torque as the optimal value on each joint, which is applied during a PTP-motion in the range of working area of a supposed industrial robot. The rupposed industrial robot consits of 3-R joints prepared on three links, The optimizational analysis is performed by the formulation of a variational calculus process due to Rayleigh-Ritz method. That is, the torques of the inverse dynamic problem on joints in a arbitrary positions are computed by a generalized inertia matrix method.

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.

Collision-Free Path Planning of Articulated Robot using Configuration Space (형상 공간을 이용한 다관절 로보트의 충돌 회피 경로 계획)

  • Kim, J.H.;Choi, J.S.;Kang, H.Y.;Kim, Dong-Won;Yang, S.M.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.6
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    • pp.57-65
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    • 1994
  • A collision-free path planning algorithm between an articulated robot and polyhedral obstacles using configuration space is presented. In configuration space, a robot is treated as a point and obstacles are treated as grown forbidden regions. Hence path planning problem is transformed into moving a point from start position to goal position without entering forbidden regions. For mapping to 3D joint space, slice projection method is used for first revolute joint and inverse kinematics is used for second and third revolute joint considering kinematic characteristics of industrial robot. Also, three projected 2D joint spaces are used in search of collision-free path. A proper example is provided to illustrate the proposed algorithm.

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