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Comparison of Pole Placement and LQR Applied to Single Link Flexible Manipulator

机译:极点放置和LQR在单连杆柔性机械臂上的比较

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this work presents a comparative study of two different control strategies for a flexible single-link manipulator. The dynamic model of the flexible manipulator involves modeling the rotational base and the flexible link as rigid bodies using the Euler Lagrange's method. The resulting system has one Degree-Of-Freedom (one DOF) and it provide freedom to increase the degree as well. Two types of regulators are studied, the State-Regulator using Pole Placement, and the Linear-Quadratic regulator (LQR). The LQR is obtained by resolving the Ricatti equation, in this work, we apply and compare two strategies to control the tip of the flexible link: state-feedback and linear quadratic regulator. These regulators are designed to reduce tip vibrations and increase system stability due to the flexibility of the arm.
机译:这项工作对柔性单连杆机械手的两种不同控制策略进行了比较研究。柔性机械手的动力学模型包括使用Euler Lagrange方法将旋转基座和柔性连杆建模为刚体。生成的系统具有一个自由度(一个DOF),它也提供了增加度的自由度。研究了两种类型的调节器,使用极点放置的状态调节器和线性二次调节器(LQR)。 LQR是通过解析Ricatti方程获得的,在这项工作中,我们应用并比较了两种控制柔性链结尖端的策略:状态反馈和线性二次调节器。这些调节器的设计旨在通过臂的柔韧性降低尖端振动并提高系统稳定性。

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