• Title/Summary/Keyword: singularity avoidance

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Kinematic Modeling and Analysis of Omni-Directional Mobile Robots with Redundant Actuation (여유구동을 지니는 전방향 모바일 로봇의 기구학 모델링 및 해석)

  • Yi, Byung-Ju;Kim, Wheekuk;Yang, Seong-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.9
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    • pp.766-773
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    • 2001
  • Omni-directional mobile robots have been popularly employed in several application areas. However, the kinematics for these systems have not been clearly identified, specially for redundantly actuated case which is common in omni-directional mobile robot such as the Nomadic model. For such mobile robot systems, exploitation of redundant actuation as well as singularity analysis has not been extensively addressed. In light of this fact, this paper introduces two different kinematic approaches for omni-directional mobile robots. Then, a singular-free load distribution scheme for redundantly actuated three-wheeled omni-directional mobile robot is proposed. Through simulation, several advantages of redundantly actuated mobile robot in aspect of singularity avoidance, minimization of torque norm, and exploiting several subtasks are presented.

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Attitude Control of Agile Spacecraft Using Momentum Exchange Devices

  • Lee, Hyun-Jae;Cho, Shin-Je;Bang, Hyo-Choong
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.2
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    • pp.14-25
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    • 2006
  • This paper is focused on designing an implementable control law to perform spacecraft various missions using momentum exchange devices such as reaction wheels(RWs) and control moment gyros(CMGs). A compact equation of motion of a spacecraft installed with various momentum exchange devices is derived in this paper. A hybrid control law is proposed for precision attitude control of agile spacecraft. The control law proposed in this paper allocates control torque to the CMGs and the RWs adequately to satisfy the precision attitude control and large angle maneuver simultaneously. The saturation problem of reaction wheels and the singularity problem of control moment gyros are considered. The problems are successfully resolved by using the proposed hybrid closed loop control law. Finally, the proposed hybrid control law is demonstrated by numerical simulations.

Trajectory Optimization for Biped Robots Walking Up-and-Down Stairs based on Genetic Algorithms (유전자 알고리즘을 이용한 이족보행 로봇의 계단 보행)

  • Jeon Kweon-Soo;Kwon O-Hung;Park Jong-Hyeon
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.4 s.181
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    • pp.75-82
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    • 2006
  • In this paper, we propose an optimal trajectory for biped robots to move up-and-down stairs using a genetic algorithm and a computed-torque control for biped robots to be dynamically stable. First, a Real-Coded Genetic Algorithm (RCGA) which of operators are composed of reproduction, crossover and mutation is used to minimize the total energy. Constraints are divided into equalities and inequalities: Equality constraints consist of a position condition at the start and end of a step period and repeatability conditions related to each joint angle and angular velocity. Inequality constraints include collision avoidance conditions of a swing leg at the face and edge of a stair, knee joint conditions with respect to the avoidance of the kinematic singularity, and the zero moment point condition with respect to the stability into the going direction. In order to approximate a gait, each joint angle trajectory is defined as a 4-th order polynomial of which coefficients are chromosomes. The effectiveness of the proposed optimal trajectory is shown in computer simulations with a 6-dof biped robot that consists of seven links in the sagittal plane. The trajectory is more efficient than that generated by the modified GCIPM. And various trajectories generated by the proposed GA method are analyzed in a viewpoint of the consumption energy: walking on even ground, ascending stairs, and descending stairs.

Spacecraft Attitude Control with a Two-axis Variable Speed Control Momentum Gyro

  • Bang, Hyo-Choong;Park, Young-Woong;Lee, Jung-Shin
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1747-1753
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    • 2004
  • CMG(Control Momentum Gyro) is a control device being used for spacecraft attitude control constructing relatively large amount of torque compared to conventional body-fixed reaction wheels. The CMG produces gyroscopic control torque by continuously varying the angular momentum vector direction with respect to the spacecraft body. The VSCMG(Variable Speed Control Momentum Gyro) has favorable advantages with variable speed to lead to better control authority as well as singularity avoidance capability. Attitude dynamics with a VSCMG mounted on a two-axis gimbal system are derived in this study. The dynamic equation may be considered as an extension of the single-axis counterpart. Also, a feedback control law design is addressed in conjunction with the dynamic equations of motion.

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Nonlinear Attitude Control for a Rigid Spacecraft by Feedback Linearization

  • Hyochoong Bang;Lee, Jung-Shin;Eun, Youn-Ju
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.203-210
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    • 2004
  • Attitude control law design for spacecraft large angle maneuvers is investigated in this paper. The feedback linearization technique is applied to the design of a nonlinear tracking control law. The output function to be tracked is the quaternion attitude parameter. The designed control law turns out to be a combination of attitude and attitude rate tracking commands. The attitude-only output function, therefore, leads to a stable closed-loop system following the given reference trajectory. The principal advantage of the proposed method is that it is relatively easy to produce reference trajectories and associated controller.

A Study on the Pseudoinverse Kinematic Motion Control of 6-Axis Arc Welding Robot (6축 아크 용접 로보트의 의사 역기구학적 동작 제어에 관한 연구)

  • Choi, Jin-Seob;Kim, Dong-Won;Yang, Sung-Mo
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.2
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    • pp.170-177
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    • 1993
  • In robotic arc welding, the roll (rotation) of the torch about its direction vector does not have any effect on the welding operation. Thus we could use this redundant degree of greedom for the motion control of the robot manipulator. This paper presents an algorithm for the pseudo- inverse kinematic motion control of the 6-axis robot, which utilizes the above mentioned redunancy. The prototype welding operation and the tool path are also graphically simulated. Since the proposed algorithm requires only the position and normal vector of the weldine as an input data, it is useful for the CAD-based off-line programming of the arc welding robot. In addition, it also has the advantages of the redundant manipulator motion control, like singularity avoidance and collision free motion planning, when compared with the other motion control method based on the direct inverse kinematics.

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Spacecraft Attitude Control with a Two-axis Variable Speed Control Momentum Gyro (2축 김벌의 가변속도 CMG를 이용한 인공위성 자세제어)

  • Bang, Hyo-Choong;Park, Young-Woong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.5
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    • pp.65-73
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    • 2004
  • CMG(Control Momentum Gyro) is a control device being used for spacecraft attitude control constructing relatively large amount of torque compared to conventional body-fixed reaction wheels. The CMG produces gyroscopic control torque by continuously varying the angular momentum vector direction with respect to the spacecraft body. The VSCMG(Variable Speed Control Momentum Gyro) has favorable advantages with variable speed to lead to better control authority as well as singularity avoidance capability. Attitude dynamics with a VSCMG mounted on a two-axis gimbal system are derived in this study. The dynamic equation may be considered as an extension of the single-axis counterpart. Also, a feedback control law design is addressed in conjunction with the dynamic equations of motion.

A Dexterous Motion Control Method of Redundant Robot Manipulators based on Neural Optimization Networks (신경망 최적화 회로를 이용한 여유자유도 로봇의 유연 가조작 모션 제어 방법)

  • Hyun, Woong-Keun;Jung, Young-Kee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.5 no.4
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    • pp.756-765
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    • 2001
  • An effective dexterous motion control method of redundant robot manipulators based on neural optimization network is proposed to satisfy multi-criteria such as singularity avoidance, minimizing energy consumption, and avoiding physical limits of actuator, while performing a given task. The method employs a neural optimization network with parallel processing capability, where only a simple geometric analysis for resolved motion of each joint is required instead of computing of the Jacobian and its pseudo inverse matrix. For dexterous motion, a joint geometric manipulability measure(JGMM) is proposed. JGMM evaluates a contribution of each joint differential motion in enlarging the length of the shortest axis among principal axes of the manipulability ellipsoid volume approximately obtained by a geometric analysis. Redundant robot manipulators is then controlled by neural optimization networks in such a way that 1) linear combination of the resolved motion by each joint differential motion should be equal to the desired velocity, 2) physical limits of joints are not violated, and 3) weighted sum of the square of each differential joint motion is minimized where weightings are adjusted by JGMM. To show the validity of the proposed method, several numerical examples are illustrated.

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A Study on Optimal Configuration for Mobile Manipulator Using Divide-and-Conquer Control (분할-획득 제어를 이용한 이동매니퓰레이터의 최적 자세에 관한 연구)

  • Kang Jin-Gu;Lee Kwan-Houng
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.6
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    • pp.1395-1401
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    • 2005
  • Mobile manipulator is a robot that has mobility and manipulability with the combination of the task robot and mobile robot. One of the most important feature of the Mobile Manipulator is redundant freedom. Using the redundant freedom, Mobile Manipulator can move various mode, perform dexterous motion. It can have the wider workspace and better performance in avoidance of singularity and obstacle than the fixed base structured robot. Cooperation control using the Mobile Manipulator improves the performance of the robot with redundant freedom in workspace. In this paper, configuration control of the Mobile Manipulator has been studied using Task Segment and TOMM(Task-Oriented Manipulability Measure). For verifying the proposed algorithm, we implemented a mobile manipulator, PURL-II, which is composed of a mobile robot with 3DOF and a task robot with SDOF.