Didactic demonstration of 3gdl robot dynamics and partitioned control for trajectory tracking

Miguel Ramírez-Aguirre, J. L. Ortiz-Simón, Martha Isabel Aguilera-Hernández, Nicolás Cruz-Hernández
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Abstract

The article presents the analysis of a robot with three degrees of freedom to follow trajectories through a partitioned control. Which is made up of two revolute and one prismatic joint where the end effector is located, that allows it to move correctly in its work area. This robot has a different structure from those most studied and analyzed by current literature, therefore it presents an opportunity to be used as a didactic resource, due to the structure, the degrees of freedom and the affinity of the models used by the students. The analysis consists of the use of the DH rule for the assignment of frames and referential axes, centers of mass, dynamic model by Jacobian and Christoffel symbols, inverse kinematic model, variables such as friction, gravitational and friction compensation, ending in a model in "Simulink" capable of following trajectories from the partitioned control law.
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3gdl机器人动力学与轨迹跟踪分区控制的教学演示
本文介绍了一个三自由度机器人通过分区控制跟踪轨迹的分析。它由两个转动关节和一个移动关节组成末端执行器所在的位置,这使得它可以在工作区域内正确移动。该机器人的结构与目前文献中研究和分析最多的机器人不同,因此由于学生使用的模型的结构,自由度和亲和力,它提供了一个被用作教学资源的机会。分析包括使用DH规则分配坐标系和参考轴、质心、雅可比和克里斯托费尔符号的动力学模型、逆运动学模型、摩擦、重力和摩擦补偿等变量,最后在“Simulink”中建立一个能够跟随分割控制律轨迹的模型。
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