• Title/Summary/Keyword: inverse kinematic problem

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DIRECT INVERSE ROBOT CALIBRATION USING CMLAN (CEREBELLAR MODEL LINEAR ASSOCIATOR NET)

  • Choi, D.Y.;Hwang, H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1173-1177
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    • 1990
  • Cerebellar Model Linear Associator Net(CMLAN), a kind of neuro-net based adaptive control function generator, was applied to the problem of direct inverse calibration of three and six d.o.f. POMA 560 robot. Since CMLAN autonomously maps and generalizes a desired system function via learning on the sampled input/output pair nodes, CMLAN allows no knowledge in system modeling and other error sources. The CMLAN based direct inverse calibration avoids the complex procedure of identifying various system parameters such as geometric(kinematic) or nongeometric(dynamic) ones and generates the corresponding desired compensated joint commands directly to each joint for given target commands in the world coordinate. The generated net outputs automatically handles the effect of unknown system parameters and dynamic error sources. On-line sequential learning on the prespecified sampled nodes requires only the measurement of the corresponding tool tip locations for three d.o.f. manipulator but location and orientation for six d.o.f. manipulator. The proposed calibration procedure can be applied to any robot.

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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
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    • v.14 no.7
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    • pp.144-153
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    • 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.

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Study on the dimension optimization of the robot manipulator with three links (로봇 매니풀레이터의 치수 최적화)

  • 조선휘;문홍기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.4
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    • pp.730-737
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    • 1988
  • Determining the robot motion using optimal technique has been studied often in recent years however the study of determining the optimal robot dimensions is very rare. In this paper, the authors attempted to find out the least driving torques at each joint as the optimization of link length refered to a 3R robot manipulator. For the given linear path with triangular velocity profile, the inverse kinematic and inverse dynamic problems are examined in order to lead into solution of problem suggested for optimal design of link lengths. Accordingly, optimal link lengths in the case of given linear path is obtained with respect to the parameter of link ratios.

Analysis on a Minimum Infinity-norm Solution for Kinematically Redundant Manipulators

  • Insoo Ha;Lee, Jihong
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.2
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    • pp.130-139
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    • 2002
  • In this paper, at first, we investigate existing algorithms for finding the minimum infinity-norm solution of consistent linear equations and then propose a new algorithm. The proposed algorithm is intended to includes the advantages of computational efficiency as well as geometric explicitness. As a practical application example, optimum trajectory planning for redundant robot manipulators is considered. Also, an efficient approach avoiding discontinuity in trajectory is proposed by resolving the non-uniqueness problem of minimum infinity-norm solution. To be specific, the proposed method for checking possible discontinuity does not need any other algorithms in checking the possibility of discontinuity while previous work needs specially designed checking courses. To show the usefulness of the proposed techniques, an example calculating minimum infinity-norm solution for comparing the computational efficiency as well as the trajectory planning for a redundant robot manipulator are included.

Forward Kinematic Analysis of Casing Oscillator (케이싱 오실레이터의 순기구학 해석)

  • Nam, Yun-Joo;Park, Myeong-Kwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.12
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    • pp.1845-1855
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    • 2004
  • This paper presents the forward kinematics of the Casing Oscillator that is a construction machine. The Structure of the Casing Oscillator is similar to those of 4 degree-of-freedom mechanisms with a redundancy. With analytical (geometrical) methods, the solutions of the forward position kinematics problem are significantly found by both solving an 8$^{th}$ -order polynomial equation in one unknown variable and using one over-constraint geometrical equation which can be derived under the condition of a redundancy. The proposed forward kinematics has closed-form solutions and allows Auto-Balancing control of the moving platform in real time. Numerical examples are presented and the results are verified by an inverse kinematics analysis.

An analytical expression for a dynamic optimal design of the stewart platform (스튜어트 플랫폼의 동역학적 최적설계를 위한 해석적인 표현)

  • Kwon, Byung-Hee;Son, Kwon
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.175-178
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    • 1997
  • This study was carried out to obtain an analytical expression for the specifications of the Stewart Platform that minimize the maximum force acting on the hydraulic cylinder. The position and orientation of the platform were calculated by means of the inverse kinematic analysis. The maximum force to be exerted on a cylinder was calculated using the Newton's second law for the case when the platform is moved along a horizontal axis with 0.6 g, the maximum translational acceleration possible. This paper suggests a mathematical model to minimize the maximum actuating force using radius and angle ratios as design variables. Finally, a fuzzy set for the minimum actuating force is proposed for this dynamic optimal design problem.

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A study on the optimal design of robot arm (로봇 팔의 최적설계에 관한 연구)

  • 조선휘;김기식;김영진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.515-522
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    • 1991
  • Determining the motion using optimal technique about traveling time and trajectory planning has been studied often in recent years, but the study of determining the optimal robot dimensions is rare, the authors attempt to find out the least driving torques and energy as the optimization of link length ratio referred to 2R SCARA and 3R robot manipulators. For the given linear path with triangular velocity profile, the inverse kinematic and dynamic problems are examined in order to lead into solution of problem, which is suggested for optimal design of link lengths. Accordingly, optimal link length ratio is obtained with respect to each case.

A trajectory prediction of human reach (Reach 동작예측 모델의 개발)

  • 최재호;정의승
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.04a
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    • pp.787-796
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    • 1995
  • A man model is a useful design tool for the evaluation of man machine systems and products. An arm reach trajectory prediction for such a model will be specifically useful to present human activities and, consequently, could increase the accuracy and reality of the evaluation. In this study, a three-dimensional reach trajectory prediction model was developed using an inverse kinematics technique. The upper body was modeled as a four link open kinematic chain with seven degrees of freedom. The Resolved Motion Method used for the robot kinematics problem was used to predict the joint movements. The cost function of the perceived discomfort developed using the central composite design was also used as a performance function. This model predicts the posture by moving the joints to minimize the discomfort on the constraint of the end effector velocity directed to a target point. The results of the pairwise t-test showed that all the joint coordinates except the shoulder joint's showed statistically no differences at .alpha. = 0.01. The reach trajectory prediction model developed in this study was found to accurately simulate human arm reach trajectory and the model will help understand the human arm reach movement.

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Development of a parallel link typed wrist for robotic precision assembly (정밀조립을 위한 병렬다관절 구조를 가진 로봇손목기구의 개발)

  • 문창렬;조형석
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.281-286
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    • 1993
  • In this paper, a parallel link typed wrist is developed for robotic precision assembly. The developed wrist can make the corrective motion required for compensating lateral and tilting errors. The mechanism of this wrist is one example of a motion simulator generating 6 DOF motion in space by 6 actuators connected in paralle. To make the wrist more compact, miniature DC motors containing reduction gears and servo system were used. The parallel link architecture enables a high positioning accuracy and high nominal load capacity. In this study, inverse kinematic problem is solved by using a Denavet-Hartenberg method and a simulational result about workspace of the proposed parallel mechanism is obtained.

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Kinematics and Control of a Visual Alignment System for Flat Panel Displays (평판 디스플레이 비전 정렬 시스템의 기구학 및 제어)

  • Kwon, Sang-Joo;Park, Chan-Sik;Lee, Sang-Moo
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.4
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    • pp.369-375
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    • 2008
  • The kinematics and control problem of a visual alignment system is investigated, which plays a crucial role in the fabrication process of flat panel displays. The first solution is the inverse kinematics of a 4PPR parallel alignment mechanism. It determines the driving distance of each joint to compensate the misalignment between mask and panel. Second, an efficient vision algorithm for fast alignment mark recognition is suggested, where by extracting essential feature points to represent the geometry of a mark, the geometric template matching enables much faster object recognition comparing with the general template matching. Finally, the overall visual alignment process including the kinematic solution, vision algorithm, and joint control is implemented and experimental results are given.