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DYNAMIC OPTIMIZATION OF POINTING TRAJECTORIES EXPLOITING THE REDUNDANCY OF PARALLEL WRISTS

机译:动态优化点轨迹以消除冗余冗余

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摘要

In this paper the functional redundancy of a spherical parallel manipulator performing a pointing task is exploited to optimize its posture upon minimizing dynamic index. A general method to derive the inertia matrix reduced to the mobile platform via screw theory is presented. This matrix encases geometrical and inertial information of all the bodies and it allows a simple computation of dynamic indices due to its feature of being dependent only on the pose of the robot. The indices are used to compute the objective function of the optimization problem, while the orientation of the pointing task constitutes the constraint equations. The posture-optimization is used as a redundancy-resolution and it is extended to any pointing direction. Optimal postural maps are obtained and then used to drive the optimal planning of pointing trajectories by using Bezier curves. To this aim, a higher level optimization problem than previous one is solved and inverse dynamic simulations are conducted to verify the results.
机译:在本文中,利用球形并行机械手执行指向任务的功能冗余以在最小化动态指标的同时优化其姿势。提出了一种利用螺旋理论推导简化为移动平台的惯性矩阵的通用方法。该矩阵包含所有物体的几何和惯性信息,并且由于其仅依赖于机器人的姿势的特征,因此可以对动态指标进行简单的计算。索引用于计算优化问题的目标函数,而指向任务的方向构成约束方程。姿势优化用作冗余分辨率,并扩展到任何指向方向。获得最佳姿势图,然后使用贝塞尔曲线将其用于驱动指向轨迹的最佳计划。为此,解决了比上一个更高级别的优化问题,并进行了逆动态仿真以验证结果。

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