• 제목/요약/키워드: joint acceleration constraint

검색결과 12건 처리시간 0.027초

Cooperative Contour Control of Two Robots under Speed and Joint Acceleration Constraints

  • Jayawardene, T.S.S.;Nakamura, Masatoshi;Goto, Satoru;Kyura, Nobuhiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1387-1391
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    • 2003
  • The fundamental aim of this paper is to present a solution algorithm to achieve cooperative contour controlling, under joint acceleration constraint with maximum cooperative speed. Usually, the specifications like maximum velocity of cooperative trajectory are determined by the application itself. In resolving the cooperative trajectory into two complementary trajectories, an optimum task resolving strategy is employed so that the task assignment for each robot is fair under the joint acceleration constraint. The proposed algorithm of being an off-line technique, this could be effectively and conveniently extended to the existing servo control systems irrespective of the computational power of the controller implemented. Further, neither a change in hardware setup nor considerable reconfiguration of the existing system is required in adopting this technique. A simulation study has been carried out to verify that the proposed method can be realized in the generation of complementary trajectories so that they could meet the stipulated constraints in simultaneous maneuvering.

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동적 제약 조건하에서 두 대 로봇이 공동으로 잡고 나르는 물체의 최대 가속도 범위 해석 (Acceleration Bounds of Cooperating Two Robots under Dynamical Constraint)

  • 이지홍;심형원
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 하계종합학술대회 논문집 V
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    • pp.2709-2712
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    • 2003
  • In this paper, dynamic constraints are considered for the analysis of manipulability of robotics systems comprised of two cooperating arms. Given bounds on the torques of joint actuators for each robot, the purpose of this study is to derive the bounds of task acceleration of object carried by the system. Under the assumption of complete constraint contact, a set of examplar polytope describing acceleration bounds of two cooperating robots are included.

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동역학이 고려된 두 대 로봇의 가속도 타원 해석 (Acceleration ellipsoid of two cooperating robots with the limits of joint torques)

  • 이지홍;이원희
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 하계종합학술대회 논문집 V
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    • pp.2717-2720
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    • 2003
  • A mathematical framework for deriving acceleration bounds from given joint torque limits of two cooperating robots are described in this paper. Especially when the torque limits are given in 2-norm, the resultant geometrical configuration is ellipsoid(the ellipsoid is often called manipulability ellipsoid in many works). At first, the mathematical derivation starts from the dynamics of both object and robots as well as the kinematics of the robots, and is finally arranged in a form of equation relating joint torques to object acceleration through a complete constraint contact(or “very-soft contact”). To show the usefulness of the proposed method, two examples are included, and especially the case where friction effects the ellipsoid shape is also considered In the example.

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공동 작업하는 다중 로봇 시스템의 동적 조작도 (Dynamic Manipulability for Cooperating Multiple Robot Systems)

  • 심형원
    • 제어로봇시스템학회논문지
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    • 제10권10호
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    • pp.930-939
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    • 2004
  • In this paper, both dynamic constraints and kinematic constraints are considered for the analysis of manipulability of robotic systems comprised of multiple cooperating arms. Given bounds on the torques of each Joint actuator for every robot, the purpose of this study is to drive the bounds of task-space acceleration of object carried by the system. Bounds on each joint torque, described as a polytope, is transformed to the task-space acceleration through matrices related with robot dynamics, robot kinematics, object dynamics, grasp conditions, and contact conditions. A series of mathematical manipulations including the procedure calculating minimum infinite-norm solution of linear equation is applied to get the reachable acceleration bounds from given actuator dynamic constrains. Several examples including two robot systems as well as three robot system are shown with the assumptions of complete-constraint contact model(or' very soft contact') and insufficient or proper degree of freedom robot.

Trajectory Planning for Industrial Robot Manipulators Considering Assigned Velocity and Allowance Under Joint Acceleration Limit

  • Munasinghe, S.Rohan;Nakamura, Masatoshi;Goto, Satoru;Kyura, Nobuhiro
    • International Journal of Control, Automation, and Systems
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    • 제1권1호
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    • pp.68-75
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    • 2003
  • This paper presents an effective trajectory planning algorithm for industrial robot manipulators. Given the end-effector trajectory in Cartesian space, together with the relevant constraints and task specifications, the proposed method is capable of planning the optimum end-effector trajectory. The proposed trajectory planning algorithm considers the joint acceleration limit, end-effector velocity limits, and trajectory allowance. A feedforward compensator is also incorporated in the proposed algorithm to counteract the delay in joint dynamics. The algorithm is carefully designed so that it can be directly adopted with the existing industrial manipulators. The proposed algorithm can be easily programmed for various tasks given the specifications and constraints. A three-dimensional test trajectory was planned with the proposed algorithm and tested with the Performer MK3s industrial manipulator. The results verified effective manipulator performance within the constraints.

3차원 Acceleration Convex Polytope를 기반으로 한 로봇 손의 안정한 파지 분석 (Analysis on Stable Grasping based on Three-dimensional Acceleration Convex Polytope for Multi-fingered Robot)

  • 장명언;이지홍
    • 제어로봇시스템학회논문지
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    • 제15권1호
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    • pp.99-104
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    • 2009
  • This article describes the analysis of stable grasping for multi-fingered robot. An analysis method of stable grasping, which is based on the three-dimensional acceleration convex polytope, is proposed. This method is derived from combining dynamic equations governing object motion and robot motion, force relationship and acceleration relationship between robot fingers and object's gravity center through contact condition, and constraint equations for satisfying no-slip conditions at every contact points. After mapping no-slip condition to torque space, we derived intersected region of given torque bounds and the mapped region in torque space so that the intersected region in torque space guarantees no excessive torque as well as no-slip at the contact points. The intersected region in torque space is mapped to an acceleration convex polytope corresponding to the maximum acceleration boundaries which can be exerted by the robot fingers under the given individual bounds of each joints torque and without causing slip at the contacts. As will be shown through the analysis and examples, the stable grasping depends on the joint driving torque limits, the posture and the mass of robot fingers, the configuration and the mass of an object, the grasp position, the friction coefficients between the object surface and finger end-effectors.

탄성 다물체계에 대한 조인트좌표 공간에서의 역동역학 해석 (Inverse Dynamic Analysis of Flexible Multibody System in the Joint Coordinate Space)

  • 이병훈
    • 대한기계학회논문집A
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    • 제21권2호
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    • pp.352-360
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    • 1997
  • An inverse dynamic procedure for spatial multibody systems containing flexible bodies is developed in the relative joint coordinate space. Constraint acceleration equations are derived in terms of relative coordinates using the velocity transformation technique. An inverse velocity transformation operator, which transforms the Cartesian velocities to the relative velocities, is derived systematically corresponding to the types of kinematic joints connecting the bodies and the system reference matrix. Using the resulting matrix, the joint reaction forces and moments are analyzed in the Cartesian coordinate space. The formulation is illustrated by means of two numerical examples.

Swing-up Control and Singular Problem of an Acrobot System

  • Nam, Taek-Kun;Tsutomu Mita
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.104.5-104
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    • 2001
  • In this paper, we address the swing up control and the singular problem of an acrobot. We derive a serial system equation from the acceleration constraint that there is no actuator on the first joint. Based on the serial system representation, we propose a swing up and stabilization control algorithm to move the acrobot from its downward equilibrium to its inverted equilibrium position. Simulation result is also provided to show the effectiveness of the proposed control strategy.

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기구학적 시스템에 있어서 구동방법에 따른 역동역학 해석 (Inverse Dynamic Analysis for Various Drivings in Kinematic Systems)

  • 이병훈
    • 대한기계학회논문집A
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    • 제41권9호
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    • pp.869-876
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    • 2017
  • 기계시스템을 제어한다든지 그 부재를 설계하기 위하여 그리고 구동기의 용량을 결정하는데 있어서 구동력이나 조인트반력을 해석하는 것이 필요하다. 본 논문은 주어진 시스템의 운동을 구현하는 다양한 형태의 구동조건에 따른 구동력(또는 토크)을 조인트좌표 공간에서 계산하는 알고리즘을 제시한다. 조인트좌표를 기구학적 시스템의 일반좌표로 사용하며 운동방정식과 구속조건의 가속도식은 속도변환법을 이용하여 직교좌표공간으로부터 조인트좌표공간으로 변환한다. 수치예제를 통하여 제시된 알고리즘의 유용성을 확인한다.

2족 보행 로봇을 위한 허용 ZMP (Zero Moment Point) 영역의 활용을 통한 에너지 효율적인 기준 보행 궤적 생성 (Energy-Efficient Reference Walking Trajectory Generation Using Allowable ZMP (Zero Moment Point) Region for Biped Robots)

  • 신혁기;김병국
    • 제어로봇시스템학회논문지
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    • 제17권10호
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    • pp.1029-1036
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    • 2011
  • An energy-efficient reference walking trajectory generation algorithm is suggested utilizing allowable ZMP (Zero-Moment-Point) region, which maxmizes the energy efficiency for cyclic gaits, based on three-dimensional LIPM (Linear Inverted Pendulum Model) for biped robots. As observed in natural human walking, variable ZMP manipulation is suggested, in which ZMP moves within the allowable region to reduce the joint stress (i.e., rapid acceleration and deceleration of body), and hence to reduce the consumed energy. In addition, opimization of footstep planning is conducted to decide the optimal step-length and body height for a given forward mean velocity to minimize a suitable energy performance - amount of energy required to carry a unit weight a unit distance. In this planning, in order to ensure physically realizable walking trajectory, we also considered geometrical constraints, ZMP stability condition, friction constraint, and yawing moment constraint. Simulations are performed with a 12-DOF 3D biped robot model to verify the effectiveness of the proposed method.