• Title/Summary/Keyword: Kinematic Systems

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Design of an Omni-directional mobile Robot with 3 Caster Wheels

  • Kim, Wheekuk;Kim, Do-Hyung;Yi, Byung-Ju;Yang, Sung-Il;You, Bum-Jae
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.4
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    • pp.210-216
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    • 2001
  • In this paper, design of a 3-degree-of-freedom mobile robot with three caster wheels is performed. Initially, kinematic modeling and singularity analysis of the mobile robot is performed. It is found that the singularity can be avoided when the robot has more than two wheels on which two active joints are located. Optimal kinematic parameters of mobile robots with three active joint variables and with four active joint variables are obtained and compared with respect to kinematic isotropic index of the Jacobian matrix of the mobile robot which is functions of the wheel radius and the length of steering link.

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Kinematic Correction of n Differential Drive Mobile Robot and a Design for the Reference-Velocity Trajectory with Acceleration-Resolution Constraint on Motor Controllers (차동 구륜이동로봇의 기구학적 보정과 모터제어기의 가속도 해상도 제약을 고려한 기준속도궤적의 설계)

  • 문종우;김종수;박세승
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.6
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    • pp.498-505
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    • 2002
  • Reducing odometer errors caused by kinematic imperfections in wheeled mobile robots is imestigated. Wheel diameters and wheelbase are corrected by using encoders without landmarks. A new velocity trajectory is proposed that compensates for an orientation error due to acceleration- resolution constraints on motor controllers. Based on this velocity trajectory, the wheel velocity of one out of two driven wheels may be changed by the traveled distance of the mobile robot. It is shown that a wheeled mobile robot can't move along a straight line exactly, even if kinematic correction are achieved perfectly, and this phenomenon is attributable to acceleration-resolution constraints on motor controllers. We experiment on a wheeled mobile robot with 2 d.o.f. are used in the experiment to verify the proposed scheme.

A Forward Closed-Form Position Solution, Kinematic Analysis And Implementation of a Translational 3-DOF Parallel Mechanism Formed by Constraining a Stewart Platform Structure (스트워트 플랫폼 구조를 구속하여 얻어지는 병진형 3 자유도 병렬 메커니즘의 정위치 해석해와 기구학 해석 및 구현)

  • Shin Dong-Min;Chung Jae-Heon;Oh Se-Min;Yi Byung-Ju;Kim Whee-Kuk
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.10
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    • pp.1035-1043
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    • 2006
  • In this study, a translational 3-DOF parallel mechanism formed by constraining the Stewart Platform Mechanism is investigated. The translational 3-DOF parallel mechanism has three struts(3-UPS type serial subchains) and in addition, has a PPP type serial subchain in the middle of the mechanism. Firstly, the closed-form forward and reverse position solutions are derived for this mechanism. And analysis on kinematic characteristics using isotropic index of the Jacobian is conducted to examine effects of design parameters for the mechanism. Lastly, a prototype mechanism is implemented and the kinematic performance of the translational 3-DOF parallel mechanism was verified through experimental work.

Study on Kinematic Calibration Method of Stewart Platforms (스튜어트 플랫폼의 기구학적 교정기법에 관한 연구)

  • Goo, Sang-Hwa;Son, Kwon
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.2
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    • pp.168-172
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    • 2001
  • The accuracy problem of robot manipulators has long been one of the principal concerns in robot design and control. A practical and economical way of enhancing the manipulator accuracy, without affecting its hardware, is kinematic calibration. In this paper an effective and practical method is presented for kinematic calibration of Stewart platforms. In our method differential errors in kinematical parameters are linearly related to differential errors in the platform pose, expressed through the forward kinematics. The algorithm is tested using simulated measurement in which measurement noise is included.

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Optimal Kinematic Design of Planar Parallel Mechanisms: Application to 2RRR-RP Mechanism (평면형 병렬 기구의 기구학적 최적설계: 2RRR-RP기구에 적용)

  • Nam Yun-Joo;Lee Yuk-Hyung;Park Myeong-Kwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.5
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    • pp.464-472
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    • 2006
  • This paper presents the two degree-of-freedom (DOF) planar parallel mechanism, called the $2{\underline{R}}RR-RP$ manipulator, whose degree-of-freedom is dependent on an additional passive constraining leg connecting the base and the platform. First, the kinematic analysis of the mechanism is performed: the inverse and forward kinematic problems are analytically solved, the workspace is systematically derived, and all of the singular configurations are examined. Then, in order to determine the geometric parameters the optimization of the mechanism is performed considering its dexterity, stiffness, and space utilization. Finally, the kinematic performances of the optimized mechanism are evaluated through the comparison study to the conventional 5-bar parallel manipulator.

Kinematic Modeling of Distal Radioulnar Joint for Human Forearm Rotation (인간의 전완 회전을 위한 원위 요척골 관절의 기구학적 모델링)

  • Yoon, Dukchan;Lee, Geon;Choi, Youngjin
    • The Journal of Korea Robotics Society
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    • v.14 no.4
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    • pp.251-257
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    • 2019
  • This paper presents the kinematic modeling of the human forearm rotation constructed with a spatial four-bar linkage. Especially, a circumduction of the distal ulna is modeled for a minimal displacement of the position of the hand during the forearm rotation from the supination to the pronation. To establish its model, four joint types of the four-bar linkage are, firstly, assigned with the reasonable grounds, and then the spatial linkage having the URUU (Universal-Revolute-Universal-Universal) joint type is proposed. Kinematic analysis is conducted to show the behavior of the distal radio-ulna as well as to evaluate the angular displacements of all the joints. From the simulation result, it is, finally, revealed that the URUU spatial linkage can be substituted for the URUR (Universal-Revolute-Universal-Revolute) spatial linkage by a kinematic constraint.

Analysis on Kinematics and Dynamics of Human Arm Movement Toward Upper Limb Exoskeleton Robot Control Part 1: System Model and Kinematic Constraint (상지 외골격 로봇 제어를 위한 인체 팔 동작의 기구학 및 동역학적 분석 - 파트 1: 시스템 모델 및 기구학적 제한)

  • Kim, Hyunchul;Lee, Choon-Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.12
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    • pp.1106-1114
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    • 2012
  • To achieve synchronized motion between a wearable robot and a human user, the redundancy must be resolved in the same manner by both systems. According to the seven DOF (Degrees of Freedom) human arm model composed of the shoulder, elbow, and wrist joints, positioning and orientating the wrist in space is a task requiring only six DOFs. Due to this redundancy, a given task can be completed by multiple arm configurations, and thus there exists no unique mathematical solution to the inverse kinematics. This paper presents analysis on the kinematic and dynamic aspect of the human arm movement and their effect on the redundancy resolution of the human arm based on a seven DOF manipulator model. The redundancy of the arm is expressed mathematically by defining the swivel angle. The final form of swivel angle can be represented as a linear combination of two different swivel angles achieved by optimizing different cost functions based on kinematic and dynamic criteria. The kinematic criterion is to maximize the projection of the longest principal axis of the manipulability ellipsoid for the human arm on the vector connecting the wrist and the virtual target on the head region. The dynamic criterion is to minimize the mechanical work done in the joint space for each two consecutive points along the task space trajectory. As a first step, the redundancy based on the kinematic criterion will be thoroughly studied based on the motion capture data analysis. Experimental results indicate that by using the proposed redundancy resolution criterion in the kinematic level, error between the predicted and the actual swivel angle acquired from the motor control system is less than five degrees.

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.

A study on the hybrid position/force control of two cooperating arms with asymmetric kinematic structures (비대칭 구조를 갖는 두 협조 로봇의 하이브리드 위치/힘 제어에 관한 연구)

  • 여희주;서일홍;홍석규;김창호
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.743-746
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    • 1996
  • A hybrid control scheme to regulate the force and position by dual arms is proposed, where two arms are treated as one arm in a kinematic viewpoint. Our approach is different from other hybrid control approaches which consider robot dynamics, in the sense that we employ a purely kinematic based approach for hybrid control, with regard to the nature of position-controlled industrial robots. The proposed scheme is applied to sawing task. In the sawing task, the trajectory of the saw grasped by dual arms is planned in an offline fashion. When the trajectory of the saw is planned to follow a line in a horizontal plane, 3 position parameters are to be controlled(i.e, two translational positions and one rotational position). And a certain level of contact force has to be controlled along the vertical direction(i.e., minus z-direction) not to loose the contact with the object to be sawn. Typical feature of sawing task is that the contact position where the force control is to be performed is continuously changing. Therefore, the kinematic mapping between the force controlled position and the joint actuators has to be updated continuously. The effectiveness of the proposed control scheme is experimentally demonstrated. The proposed hybrid control scheme can be applied to arbitrary dual arm systems, regardless of their kinematic structure and the number of actuated joints.

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