考虑摩擦的空间抓捕过程碰撞动力学分析与控制

目前针对空间抓捕中的碰撞进行建模的方法中很少考虑摩擦因素。然而,摩擦作为碰撞过程中不可避免的现象,对碰撞动力学响应及整个空间抓捕任务有着不容忽视的影响。文章结合库伦摩擦理论和拉格朗日乘子法,建立了同时兼顾滑动和粘滞状态的摩擦模型,然后将求解到的摩擦力与碰撞力进行矢量合成,作为对碰撞模型的修正。另外,针对碰撞过程对机器人姿态产生的干扰,利用反馈线性化设计了解耦控制器对基座姿态漂移进行稳定控制。数值仿真采用一个平面2灢DOF空间机器人,利用动量和动量矩守恒定理验证了动力学模型的正确性,同时基座姿态控制结果收敛说明了控制器的有效性。

Contact dynamics analysis and control of space capture considering friction#br#

Recently, there are a lot of researches forthe contact of space capture, but the effect of friction is rarely considered. However,as an inevitable phenomenon in capture the friction has huge influence on thecontact dynamics and the space capture missions. Combined with the advantages ofthe Coulomb dry friction theory and the Lagrange multiplier method, a newfriction model considering both sliding and viscous states was established, andthen the solution to the friction and contact force vector was combined tocorrect the contact model. In addition, regarding the influence of contact on thebase of the space robot with the method of feedback linearization, a feedbackdecoupling controller was designed to control the base. A planar 2-DOF spacerobot was simulated to demonstrate the effectiveness of the proposed model and thecontrol method. The results verify the dynamic model by linear and angularmomentum theory, and the attitude of the base showed the effectiveness of the controller.