Following the idea of our previous paper we distinguish also in the case of Newtonian gravity as in the electrodynamics between extensive and intensive field quantities. Between both, a “material’’ quantity produce...Following the idea of our previous paper we distinguish also in the case of Newtonian gravity as in the electrodynamics between extensive and intensive field quantities. Between both, a “material’’ quantity produced e.g. by vacuum polarisations induced by the gravitational field strength itself is mediated. It acts in such a way that it amplifies the field strength in weak gravitational fields and reduces the field strength in strong gravitational fields following Lenz’s rule. Newton’s gravity is valid only in a very large intermediate range of middle field strength F?, F0? and F1?critical field strengths). In this way dark matter and black holes may be avoidable.展开更多
针对具有冗余机械臂的自由漂浮空间机器人(Free Floating Space Robot,FFSR)点到点避免奇异性规划和控制问题,提出了一种冗余FFSR的点到点避免奇异控制方法。首先,该方法基于离散状态依赖李卡提方程(DSDRE)控制器设计方法,利用FFSR的动...针对具有冗余机械臂的自由漂浮空间机器人(Free Floating Space Robot,FFSR)点到点避免奇异性规划和控制问题,提出了一种冗余FFSR的点到点避免奇异控制方法。首先,该方法基于离散状态依赖李卡提方程(DSDRE)控制器设计方法,利用FFSR的动力学和运动学方程实现了FFSR系统方程的伪线性重构;然后,基于伪线性重构系统及DSDRE状态调节器设计方法实现了FFSR的关节角速度和末端位姿的同时跟踪控制;其次,根据跟踪控制器对FFSR广义雅克比矩阵(GJM)行满秩的设计要求,定义FFSR的奇异性判别依据,构造了避奇异约束函数;再次,由于冗余FFSR系统具有多逆运动学解特点,考虑关节角及关节角速度约束,结合避奇异约束函数设计了FFSR的期望轨迹在线规划器,进一步将设计的跟踪控制器与规划器相结合提出了冗余FFSR末端点到点避奇异运动控制方法。最后,为验证所提方法的有效性同时考虑简化计算,采用平面4连杆FFSR模型进行数值仿真,仿真结果表明所提点到点避奇异运动控制方法能够有效实现冗余FFSR系统的点到点避奇异运动。展开更多
文摘Following the idea of our previous paper we distinguish also in the case of Newtonian gravity as in the electrodynamics between extensive and intensive field quantities. Between both, a “material’’ quantity produced e.g. by vacuum polarisations induced by the gravitational field strength itself is mediated. It acts in such a way that it amplifies the field strength in weak gravitational fields and reduces the field strength in strong gravitational fields following Lenz’s rule. Newton’s gravity is valid only in a very large intermediate range of middle field strength F?, F0? and F1?critical field strengths). In this way dark matter and black holes may be avoidable.
文摘针对具有冗余机械臂的自由漂浮空间机器人(Free Floating Space Robot,FFSR)点到点避免奇异性规划和控制问题,提出了一种冗余FFSR的点到点避免奇异控制方法。首先,该方法基于离散状态依赖李卡提方程(DSDRE)控制器设计方法,利用FFSR的动力学和运动学方程实现了FFSR系统方程的伪线性重构;然后,基于伪线性重构系统及DSDRE状态调节器设计方法实现了FFSR的关节角速度和末端位姿的同时跟踪控制;其次,根据跟踪控制器对FFSR广义雅克比矩阵(GJM)行满秩的设计要求,定义FFSR的奇异性判别依据,构造了避奇异约束函数;再次,由于冗余FFSR系统具有多逆运动学解特点,考虑关节角及关节角速度约束,结合避奇异约束函数设计了FFSR的期望轨迹在线规划器,进一步将设计的跟踪控制器与规划器相结合提出了冗余FFSR末端点到点避奇异运动控制方法。最后,为验证所提方法的有效性同时考虑简化计算,采用平面4连杆FFSR模型进行数值仿真,仿真结果表明所提点到点避奇异运动控制方法能够有效实现冗余FFSR系统的点到点避奇异运动。
