• Title/Summary/Keyword: Velocity Trajectory

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A nonlinear programming approach to collision-avoidance trajectory planning of multiple robots

  • Suh, Suk-Hwan;Kim, Myung-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.635-642
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    • 1989
  • We formulated the multi-robot trajectory problem into a series of NLP problem, each of which is that of finding the optimal tip positions of the robots for the next time step. The NLP problem is composed of an objective function and three constraints, namely: a) Joint position limits, b) Joint velocity limits, and c) Collision-avoidance constraints. By solving a series of NLP problem, optimally coordinated trajectories can be determined without requiring any prior path information. This is a novel departure from the previous approach in which either all paths or at least one path is assumed to be given. Practical application of the developed method is for optimal synthesis of multiple robot trajectories in off-line. To test the validity and effectiveness of the method, numerical examples are illustrated.

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A Study for Controllability, Stability by Optimal Control of Load and Angular Velocity of Flying Objects using the Spiral Predictive Model(SPM) (나선 예측 모델에서의 비행체 하중수 및 각속도 최적 제어에 의한 제어성과 안정성 성능에 관한 연구)

  • Wang, Hyun-Min
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.3
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    • pp.268-272
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    • 2007
  • These days many scientists make studies of feedback control system for stability on non-linear state and for the maneuver of flying objects. These feedback control systems have to satisfy trajectory condition and angular conditions, that is to say, controllability and stability simultaneously to achieve mission. In this paper, a design methods using model based control system which consists of spiral predictive model, Q-function included into generalized-work function is shown. It is made a clear that the proposed algorithm using SPM maneuvers for controllability and stability at the same time is successful in attaining our purpose. The feature of the proposed algorithm is illustrated by simulation results. As a conclusion, the proposed algorithm is useful for the control of moving objects.

Ballistic Missile Tracking using Unscented Kalman Filter (Unscented Kalman Filter를 이용한 탄도 미사일 추적)

  • Park, Sang-Hyuk;Yun, Joong-Sup;Ryoo, Chang-Kyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.9
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    • pp.898-903
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    • 2008
  • In most cases, the trajectory of a ballistic missile is well explained by the Kepler's laws. It implies that the remaining trajectory of the ballistic missile including its final destination can be easily predicted if the position and velocity vector of the ballistic missile at any point on its path can be exactly known. Hence, an effective tracking algorithm based on an exact radar measurement model is very important for developing Ballistic Missile Defense(BMD) system. In this paper, we address to design a nonlinear filter, Unscented Kalman Filter(UKF), to track the ballistic missile.

Trajectory Tracking Control of Injection Molding Cylinder Driven by Speed Controlled Hydraulic Pump (속도제어-유압펌프에 의하여 구동되는 사출성형 실린더의 궤적추적제어)

  • Cho, S.H.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.4 no.2
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    • pp.21-27
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    • 2007
  • This paper deals with the issue of trajectory tracking control of a clamping cylinder for injection moulding machine, which is directly driven by speed controlled hydraulic pump in combination with AC servomotor. As a fundamental step prior to tracking controller design, feedback control system is developed by implementing a position control loop parallel with a system pressure control loop. A sliding mode controller combining velocity feedforward scheme is developed for enhancing the tracking performance. Consequently a significant reduction in tracking error is achieved for both position and pressure control applications.

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Hand Reaching Movement Acquired through Reinforcement Learning

  • Shibata, Katsunari;Sugisaka, Masanori;Ito, Koji
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.474-474
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    • 2000
  • This paper shows that a system with two-link arm can obtain hand reaching movement to a target object projected on a visual sensor by reinforcement learning using a layered neural network. The reinforcement signal, which is an only signal from the environment, is given to the system only when the hand reaches the target object. The neural network computes two joint torques from visual sensory signals, joint angles, and joint angular velocities considering the urn dynamics. It is known that the trajectory of the voluntary movement o( human hand reaching is almost straight, and the hand velocity changes like bell-shape. Although there are some exceptions, the properties of the trajectories obtained by the reinforcement learning are somewhat similar to the experimental result of the human hand reaching movement.

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The End-Point Position Control of a Translational Flexible Arm by Inverse Dynamics (역동역학에 의한 병진운동 탄성 Arm 선단의 위치제어)

  • Lee, Seong-Cheol;Bang, Du-Yeol;S. Chonan;H. Inooka
    • Journal of the Korean Society for Precision Engineering
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    • v.9 no.4
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    • pp.136-146
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    • 1992
  • This paper provides the end-point positioning of a single-link flexible robot arm by inverse dynamics. The system is composed of a flexible arm, the mobile ballscrew stage as an arm base, a DC servomotor as an actuator, and a computer. Actuator voltages required for the model of a flexible arm to follow a given tip trajectory are formulated on the basis of the Bermoullie-Euler beam theory and solved by applying the Laplace transform method, and computed by the numerical inversion method proposed by Weeks. The mobile stage as the arm base is shifted so that the end-point follows the desired trajectories. Then the trajectory of end-point is measured by the laser displacement sensor. Here, two kinds of functions are chosen for the given tip trajectories. One is what is called the bang-bang acceleration profile and the other is the Gaussian velocity profile.

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Delay Time Optimal Coordination Planning for Two Robot Systems

  • Lee, Ji-Hong;Nam, Heon-Seong;Joon Lyou
    • Journal of Electrical Engineering and information Science
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    • v.2 no.3
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    • pp.51-60
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    • 1997
  • A practically applicable collision free trajectory planning technique for tow robot systems is proposed. The robot trajectories considered in this work are composed of many segments, an at the intersection points between segments robots stop to assemble, weld, ordo other jobs by the attached a end-effectors. The proposed method is based on the Planning-Coordination Decomposition where planning is to find a trajectory of each robot independently according to their tasks and coordination is to find a velocity modification profile to avoid collision with each other. To fully utilize the independently planned trajectories and to ensure no geometrical path deviation after coordination, we develop a simple technique added the minimal delay time to avoid collision just before moving along path segments. We determine the least delay time by the graphical method in the Coordination space where collisions and coordinations are easily visualized. We classify all possible cases into 3 group and derive the optimal solution for each group.

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Minimum-Time Trajectory Planning Ensuring Collision-Free Motions for Two Robots with Geometric Path Constraints (공간상의 길이 주어진 두 대의 로보트를 위한 최소시간 충돌회피 경로 계획)

  • ;Zeung Nam Bien
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.28B no.5
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    • pp.357-368
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    • 1991
  • Collision-free trajectory planning for two robots is considered. The two robot system handled in the paper is given specified geometric paths for two robots, and the task is repeating. Then, the robot dynamics is transformed as a function of the traveled lengths along the paths, and the bounds on acceleration and velocity are described in the phase plane be taking the constraints on torques and joint velocities into consideration. Collision avoidance and time optimality are considered simultaneously in the coordination space and the phase plane, respectively. The proof for the optimality of the proposed algorithm is given, and a simulation result is included to show the usefulness of the proposed method.

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Development of A New Efficient Method for Controlling Robot Motion at and near Singularities (특이점 부근의 로봇운동을 효과적으로 제어하기 위한 새로운 방법 개발)

  • 정원지;최은재;홍대선;서영교;홍형표
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.6
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    • pp.31-37
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    • 2002
  • This paper presents a new motion control strategy for singularity avoidance in 6 DOF articulated robot manipulators, based on a speed limiting algorithm for joint positions and velocities. For a given task, the robot is controlled so that the joints move with acceptable velocities and positions within the reachable range of each joint by considering the velocity limit. This paper aims at the development of a new efficient method to control robot motion near and at singularities. The proposed method has focused on generating the optimal joint trajectory for a Cartesian end-effector path within the speed limit of each joint by using the speed limit avoidance as well as the acceleration/deceleration scheme. The proposed method was verified using MATLAB-based simulations.

A Proposal of an LOS Guidance System of a Ship for Path Following (선박의 항로추종을 위한 LOS 가이던스 시스템의 제안)

  • Kim Jonghwa;Lee Byungkyul
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.4
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    • pp.363-368
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    • 2005
  • This paper proposes an LOS(line-of-sight) guidance system of a ship for path following. From the viewpoint of a control configuration, guidance is a special type of compensation algorithm that is placed in front of the controller to accomplish navigational objects. A guidance system generates a reference trajectory for trajectory tracking or path control and decides the desired velocity, position and heading angle. A control system executes commands based on a reliable guidance law during navigation. An LOS vector from the vessel to a point on the path between two way-points in straight-line navigation or a point among turning circle in turning navigation is selected, and then a heading angle is calculated to converge the desired path based on the LOS vector. The LOS guidance law is defined for the straight-line and the turning circle, respectively. The effectiveness of the suggested LOS guidance system is assured through computer simulation.