• Title/Summary/Keyword: Motion Trajectory Planning

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Trajectory Planning of Industrial Robot using Spline Method in Task Space (직교좌표공간에서의 스플라인을 이용한 산업용 로봇의 궤적 생성 방법)

  • Chung, Seong Youb;Hwang, Myun Joong
    • Journal of Institute of Convergence Technology
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    • v.6 no.2
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    • pp.9-13
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    • 2016
  • Robot usually requires spline motion to move through multiple knots. In this paper, catmull-rom spline method is applied to the trajectory planning of industrial robot in task space. Centripetal catmull-rom is selected to avoid self-intersection and slow motion which can be occurred in uniform and chordal spline. The method to set two control points are proposed to satisfy velocity conditions of initial and final knots. To optimize robot motion, time scaling method is presented to minimize margin between real robot value and maximum value in velocity and acceleration. The simulation results show that the proposed methods are applied to trajectory planning and robot can follow the planned trajectory while robot motion does not exceed maximum value of velocity and acceleration.

Design of Cubic Spline Interpolator using a PVAJT Motion Planner (PVAJT 모션플래너를 이용한 Cubic Spline 보간기의 설계)

  • Shin, Dong-Won
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.10 no.3
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    • pp.33-38
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    • 2011
  • A cubic spline trajectory planner with arc-length parameter is formulated with estimation by summing up to the 3rd order in Taylor's expansion. The PVAJT motion planning is presented to reduce trajectory calculation time at every cycle time of servo control loop so that it is able to generate cubic spline trajectory in real time. This method can be used to more complex spline trajectory. Several case studies are executed with different values of cycle time and sampling time, and showed the advantages of the PVAJT motion planner. A DSP-based motion controller is designed to implement the PVAJT motion planning.

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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Near Minimum-Time Trajectory Planning for Wheeled Mobile Robots with Piecewise Constant Voltages

  • Park, Jong-Suk;Kim, Munsang;Kim, Byung-Kook
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.30.6-30
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    • 2001
  • We build near minimum-time trajectory planning algorithm for Wheeled mobile robots (WMRs) With Piece-Wise Constant control voltages satisfying i) initial and final postures and velocities as well as ii) voltage constraints We consider trajectory planning problem for cornering motion with a path-deviation requirement for obstacle avoidance. We divide our trajectory planning algorithm for cornering motion into five ordered sections: translational, transient, rotational, transient, and translational sections. Transforming dynamics into uncorrelated form with respect to translational and rotational velocities, we can make controls for translation/rotational velocities to be independent. By planning each section with constant voltages, and integrating five sections with adjustment of numbers of steps, the overall trajectory is planned. The performance is very close to the minimum-time solution, which is validated via simulation studies.

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A Study on the Trajectory Optimization Planning of Biped Walking Machine (이족 보행 로봇의 궤적의 최적화 계획에 관한 연구)

  • 김창부;조현석
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.3
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    • pp.157-167
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    • 1998
  • In this paper it is purpose that reduces joint torques and their rate of change through optimizing trajectory planning of biped walking machine. The motion of biped walking machine is divided into leg motion for walking and body motion for keeping balance. The leg motion is planned by three phases, that are deploy, swing, and place phases, in terms of the state of foot against floor. The distribution of time assigned to each phase is optimized and that causes leg joint torques and their rate of change to minimize. The body notion is produced by using optimal control theory which minimizes body joint torques and satisfies Z.M.P. constraints defined as region of each phase.

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Repetitive Periodic Motion Planning and Directional Drag Optimization of Underwater Articulated Robotic Arms

  • Jun Bong-Huan;Lee Jihong;Lee Pan-Mook
    • International Journal of Control, Automation, and Systems
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    • v.4 no.1
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    • pp.42-52
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    • 2006
  • In order to utilize hydrodynamic drag force on articulated robots moving in an underwater environment, an optimum motion planning procedure is proposed. The drag force acting on cylindrical underwater arms is modeled and a directional drag measure is defined as a quantitative measure of reaction force in a specific direction in a workspace. A repetitive trajectory planning method is formulated from the general point-to-point trajectory planning method. In order to globally optimize the parameters of repetitive trajectories under inequality constraints, a 2-level optimization scheme is proposed, which adopts the genetic algorithm (GA) as the 1st level optimization and sequential quadratic programming (SQP) as the 2nd level optimization. To verify the validity of the proposed method, optimization examples of periodic motion planning with the simple two-link planner robot are also presented in this paper.

A Robot Trajectory Planning based on the Dual Curvature Theory of a Ruled Surface (룰드서피스 듀얼곡률이론을 이용한 로봇경로계획)

  • 박상민;송문상;김재희;유범상
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.482-487
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    • 2002
  • This paper presents a robot trajectory generation method based on the dual curvature theory of ruled surfaces. Robot trajectory can be represented as a ruled surface generated by the TCP(Tool Center Point) and my unit vector among the tool frame. Dual curvature theory of ruled surfaces provides the robot control algorithm with the motion property parameters. With the differential properties of the ruled surface, the linear and angular motion properties of the robot end effector can be utilized in the robot trajectory planning.

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A Minimum time trajectory planning for robotic manipulators with input torque constraint (입력 토오크 constraint를 가진 로보트 매니플레이터에 대한 최소 시간 궤적 계획)

  • Hong, In-Keun;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.445-449
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    • 1989
  • Achievement of a straight line motion in the Cartesian space has a matter of great importance. Minimization of task execution time with linear interpolation in the joint space, accomplishing of a approximation of straight line motion in the Cartesian coordinate is considered as the prespecified task. Such determination yields minimum time joint-trajectory subject to input torque constraints. The applications of these results for joint-trajectory planning of a two-link manipulator with revolute joints are demonstrated by computer simulations.

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On determining the flyability of airplane rectilinear trajectories at constant velocity

  • Labonte, Gilles
    • Advances in aircraft and spacecraft science
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    • v.5 no.5
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    • pp.551-579
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    • 2018
  • This work is concerned with the motion of propeller driven airplanes, flying at constant velocity on ascending or descending rectilinear trajectories. Its purpose is to provide important features of rectilinear flights that are required for airplane trajectory planning but that cannot be found already published. It presents a method for calculating the amount of fuel used, the restrictions on the trajectory parameters, as inclination and speed, which result from the load factor, the lift coefficient, the positivity and upper boundedness of the power available. It presents a complete discussion of both ascending and descending flights, including gliding. Some original remarks are made about the parameters of gliding. It shows how to construct tables of parameters allowing to identify rapidly flyable trajectories. Sample calculations are shown for the Cessna 182 and a Silver Fox like unmanned aerial vehicle.

An Integrated Robot-Trajectory-Planning Scheme for Spray Painting Operations (스프레이 페인팅 작업을 위한 일관화된 로보트 궤적계획법에 관한 연구)

  • Suh, Suk-Hwan;Woo, In-Kee
    • IE interfaces
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    • v.3 no.2
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    • pp.23-38
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    • 1990
  • The use of robots for painting operations is a powerful alternative as a means for automation and quality improvement. A typical method being used for motion planning of the painting robot is to guide the robot along the desired path : the "lead-through" method. Although this method is simple and has been widely used, it has several drawbacks a) The robot cannot be used during the teaching period, b) A human is exposed to a hostile environment, c) The motions taught are, at best, human's skill level. To deal with the above problems, an integrated robot-trajectory planning scheme is presented. The new scheme takes CAD data describing the shape and geometry of the objects, and outputs an optimal trajectory in the sense of coating thickness and painting time. The purpose of this paper is to investigate theoretical backgrounds for such a scheme including geometric modeling, painting mechanics and robot trajectory planning, and develop algorithms for generating spray gun paths and minimum-time robot trajectories. Future study is to implement these algorithms on an workstation to develop an integrated software system ; ATPS(Automatic Trajectory Planning System) for spray painting robots.

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