Synthesis of an Extended Kalman Filter for Cable-Driven Parallel Robots

G. Boschetti, F. González, G. Piva, D. Richiedei, Borja Rodríguez Frade, A. Trevisani
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Abstract

Cable-driven parallel robots are light-weight parallel robots where cables replace rigid actuators to move an end-effector. As a consequence, they have large workspaces, high-dynamic handlings, ease of reconfigurability and/or low-cost architecture. Knowing the full state variables of the robot model is usually useful for control and monitoring; however, it is often not directly measured and therefore the development of state observers is essential. In this work a general approach to develop a nonlinear state observer based on an Extended Kalman Filter is proposed and validated numerically by referring to a cable-suspended parallel robot. The state observer is based on a system model obtained converting a set of Differential Algebraic Equations into Ordinary Differential Equations through two different methods: the penalty formulation and the Udwadia-Kalaba formulation.
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缆索驱动并联机器人扩展卡尔曼滤波器的综合
缆索驱动并联机器人是一种轻型并联机器人,用缆索代替刚性致动器来移动末端执行器。因此,它们具有较大的工作空间、高动态处理、易于重新配置和/或低成本架构。了解机器人模型的全部状态变量通常对控制和监视是有用的;然而,它往往不能直接测量,因此发展国家观察员是必不可少的。本文提出了一种基于扩展卡尔曼滤波的非线性状态观测器的一般方法,并以悬索并联机器人为例进行了数值验证。状态观测器基于将一组微分代数方程通过罚式和Udwadia-Kalaba式两种不同的方法转化为常微分方程而得到的系统模型。
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