• Title/Summary/Keyword: Optimal Motion Velocity

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An Optimal Trajectory Planning for Redundant Robot Manipulators Based on Velocity Decomposition (속도분리를 이용한 여유자유도 로봇의 최적 경로계획)

  • 이지홍;원경태
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.7
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    • pp.836-840
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    • 1999
  • Linear motion and angular motion in task space are handled separately in joint velocity planning for redundant robot manipulators. In solving inverse kinematic equations with given joint velocity limits, we consider the order of priority for linear motion and angular motion. The proposed method will be useful in such applications where only linear motions are important than angular motions or vice versa.

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Optimal Motion Control of 3-axis SCARA Robot Using a Finite Jerk and Gain Tuning Based on $LabVIEW^{(R)}$ ($LabVIEW^{(R)}$ 기반 3축 스카라 로봇의 유한 저크 및 게인 동조를 이용한 최적 모션 제어)

  • Kim, J.H.;Chung, W.J.;Kim, H.G.;Lee, G.S.
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.3
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    • pp.40-46
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    • 2008
  • This paper presents the optimal motion control for 3-axis SCARA robot by using $LabVIEW^{(R)}$. Specifically, for optimal motion control of 3-axis SCARA robot, we study velocity profile based on finite jerk(the first derivative of acceleration) and optimal gain tunig based on frequency response method by using $LabVIEW^{(R)}$. The velocity optimization with finite jerk aims at generating the smooth velocity profile of robot. Velocity profile based on finite jerk is acquired and applied to 3-axis SCARA robot by using $LabVIEW^{(R)}$. DSA(Dynamic Signal Analyzer) for frequency response method is programed by using $LabVIEW^{(R)}$. We obtain the bode plot of transfer function about 3-axis SCARA robot by using DSA, and perform the gain tuning considering dynamic characteristic based on the bode plot. These experiments have shown that the proposed motion control can reduce vibration displacement and response error rate each 33.7% and 51.7% of 3-axis SCARA robot.

A Motion-Control Chip to Generate Velocity Profiles of Desired Characteristics

  • Cho, Jung-Uk;Jeon, Jae-Wook
    • ETRI Journal
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    • v.27 no.5
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    • pp.563-568
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    • 2005
  • A motion-control chip contains major functions that are necessary to control the position of each motor, such as generating velocity command profiles, reading motor positions, producing control signals, driving several types of servo amplifiers, and interfacing host processors. Existing motion-control chips can only generate velocity profiles of fixed characteristics, typically linear and s-shape smooth symmetric curves. But velocity profiles of these two characteristics are not optimal for all tasks in industrial robots and automation systems. Velocity profiles of other characteristics are preferred for some tasks. This paper proposes a motion-control chip to generate velocity profiles of desired acceleration and deceleration characteristics. The proposed motion-control chip is implemented with a field-programmable gate array by using the Very High-Speed Integrated Circuit Hardware Description Language and Handel-C. Experiments using velocity profiles of four different characteristics will be performed.

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Sway Control of c Container Crane (Part II): Regulation of the Pendulum Sway through Patternizing Trolley Moving Velocity (컨테이너 크레인의 흔들림 제어 (Part II): 트롤리 주행속도 조절을 통한 진자운동의 제어)

  • Hong, Keum-Shik;Sohn, Sung-Chull;Lee, Man-Hyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.2
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    • pp.132-138
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    • 1997
  • Six different types of velocity profiles of trolley movement of a container crane are investigated for the minimal sway angle at the target trolley position. Three velocity patterns which include trapezoidal, stepped and notched-type velocity patterns are obtained assuming constant rope length. The notched type velocity pattern is shown to be derived from the time-optimal bang-bang control. The stepped type velocity pattern can be shown to be derived as bang-off bang control as well. Considering the damping effect due to hoist motion a double stage acceleration pattern is also analyzed. The main objective of the paper is to show how much time-reduction can be obtained among several velocity patterns appearing in the literature.

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Anti-Sway Control of a Jib Crane Using Time Optimal Control (시간최적제어를 이용한 지비크레인의 흔들림제어)

  • KANG MIN-WOO;HONG KEUM-SHIK
    • Journal of Ocean Engineering and Technology
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    • v.19 no.1 s.62
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    • pp.87-94
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    • 2005
  • This paper investigates the constant-level luffing and time optimal control of jib cranes. The constant-level luffing, which is the sustainment of the load at a constant height during luffing, is achieved by analyzing the kinematic relationship between the angular displacement of a boom and that of the main hoist motor of a jib crane. Under the assumption that the main body of the crane does not rotate, the equations of motion of the boom are derived using Newton's Second Law. The dynamic equations for the crane system are highly nonlinear; therefore, they are linearized under the small angular motion of the load to apply linear control theory. This paper investigates the time optimal control from the perspective of no-sway at a target point. A stepped velocity pattern is used to design the moving path of the jib crane. Simulation results demonstrate the effectiveness of the time optimal control, in terms of anti-sway motion of the load, while luffing the crane.

Obstacle-Free Optimal Motions of a Manipulator Arm Using Penetration Growth Distance (침투성장거리를 이용한 로봇팔의 장애물회피 최적운동)

  • Park, Jong-Keun
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.10
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    • pp.116-126
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    • 2001
  • This paper suggests a numerical method to find optimal geometric path and minimum-time motion for a spatial 6-link manipulator arm (PUMA 560 type). To find a minimum-time motion, the optimal geometric paths minimizing 2 different dynamic performance indices are searched first, and the minimum-time motions are searched on these optimal paths. In the algorithm to find optimal geometric paths, the objective functions (performance indices) are selected to minimize joint velocities, actuator forces or the combinations of them as well as to avoid one static obstacle. In the minimum-time algorithm the traveling time is expressed by the power series including 21 terms. The coefficients of the series are obtained using nonlinear programming to minimize the total traveling time subject to the constraints of velocity-dependent actuator forces.

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Optimal Geometric Path and Minimum-Time Motion for a Manipulator Arm (로봇팔의 최적 기하학적 경로 및 시간최소화 운동)

  • Park, Jong-Keun;Han, Sung-Hyun;Kim, Tae-Han;Lee, Sang-Tak
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.204-213
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    • 1999
  • This paper suggests a numerical method of finding optimal geometric path and minimum-time motion for a manipulator arm. To find the minimum-time motion, the optimal geometric path is searched first, and the minimum-time motion is searched on this optimal path. In the algorithm finding optimal geometric path, the objective function is minimizing the combination of joint velocities, joint-jerks, and actuator forces as well as avoiding several static obstacles, where global search is performed by adjusting the seed points of the obstacle models. In the minimum-time algorithm, the traveling time is expressed by the linear combinations of finite-term quintic B-splines and the coefficients of the splines are obtained by nonlinear programming to minimize the total traveling time subject to the constraints of the velocity-dependent actuator forces. These two search algorithms are basically similar and their convergences are quite stable.

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A Lane Based Obstacle Avoidance Method for Mobile Robot Navigation

  • Ko, Nak-Yong;Reid G. Simmons;Kim, Koung-Suk
    • Journal of Mechanical Science and Technology
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    • v.17 no.11
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    • pp.1693-1703
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    • 2003
  • This paper presents a new local obstacle avoidance method for indoor mobile robots. The method uses a new directional approach called the Lane Method. The Lane Method is combined with a velocity space method i.e., the Curvature-Velocity Method to form the Lane-Curvature Method (LCM). The Lane Method divides the work area into lanes, and then chooses the best lane to follow to optimize travel along a desired goal heading. A local heading is then calculated for entering and following the best lane, and CVM uses this local heading to determine the optimal translational and rotational velocities, considering some physical limitations and environmental constraint. By combining both the directional and velocity space methods, LCM yields safe collision-free motion as well as smooth motion taking the physical limitations of the robot motion into account.

A Study on the Development of Small Size Three-Axis Stacker Crane for Automatic Ware House (소형 자동차고용 3축 Stacker crane 개발에 관한 연구)

  • Kim, J.Y.;Sim, J.K.;Kim, H.S.;Han, J.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.8
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    • pp.131-139
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    • 1995
  • In this study, small size stacker Crane for automatic ware house and interface circuit is designed and manufactured. IBM-PC is used as a controller. At 50kg$_{f}$ load, optimal motion velocity is 20 mm/min for X and Y axis and 12 mm/min for Z axis. Position fesolution is 0.005 mm and repeatability is .+-. 0.025 mm. Through characteristic experiment, effectiveness of the designed and manufactured stacker crane. PC control program, and design of interface circuit and construction of control system are shown. From these results, the developed stacker crane can be apply to FMS(Flexible Manufacturing System) and FA(Factory Automation) of industrial field.d.

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Sway Control of a Container Crane ( Part I ) : Modeling, Control Strategy, Error Feedback Control Via Reference Velocity Profiles (컨테이너 크레인의 흔들림 제어 ( Part I ) : 모델링, 제어전략, 기준선도를 통한 오차 피이드백 제어)

  • Hong, Keum-Shik;Sohn, Sung-Chull;Lee, Man-Hyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.1
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    • pp.23-31
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    • 1997
  • The sway control problem of pendulum motion of a container hanging on a Portainer Crane, which transports containers from a container ship to trucks, is considered in the paper. The equations of motion are obtained through the Lagrange mechanics and simplified for control purposes. Considering that the fast traveling of trolley and no residual swing motion of the container at the end of acceleration and deceleration are crucial for quick transportation, several velocity patterns of trolley movement including the time-optimal control are investigated. Incorporating the change of rope length, a reference swing trajectory is introduced in the control loop and the error signal between the reference sway angle and the measured sway angle is feedbacked. Proposed control strategy is shown to be robust to disturbances like winds and initial sway motion.

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