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Design of an H infinity controller for the Delta robot: experimental results

机译:Delta机器人H无限控制器的设计:实验结果

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摘要

This paper deals with an efficient implementation of an H multi-variable controller on the three degrees of freedom (DOF) parallel robot namely the Delta robot'. The H controller is designed by the mixed sensitivity approach in which the sensitivity function matrix S and the complementary sensitivity function matrix T are taken into account. For this purpose, a nonlinear analytical dynamic state model is developed and a tangent linearization procedure is used to obtain a multi-variable linear model around a functional point. Real-time experiments were performed to compare the centralized H controller with a classical decentralized Proportional Integral Derivative (PID) controller. Experimental tracking results show that the performances of the PID compared to those of the H decrease when the movement dynamic is increased. At high dynamic (12Ge), it is shown that the maximum tracking error and the error around the stop positions of the H are, respectively, 80 and 60 of the PID. The experiments of the load variation have proven that the H is more robust than the PID. The steady-state root mean square error of the H is less than 60 of the one obtained using the PID controller.
机译:本文探讨了在三自由度(DOF)并联机器人Delta机器人上高效实现H多变量控制器的方法。H控制器采用混合灵敏度方法设计,其中考虑了灵敏度函数矩阵S和互补灵敏度函数矩阵T。为此,该文建立了非线性分析动态状态模型,并利用切线化过程获得了围绕功能点的多变量线性模型。通过实时实验,将集中式H控制器与经典的分散式比例积分微分(PID)控制器进行了比较。实验跟踪结果表明,当运动动态增加时,PID与H相比的性能会降低。在高动态(12Ge)下,最大跟踪误差和H停止位置附近的误差分别为PID的80%和60%。负载变化的实验证明,H比PID更鲁棒。H 的稳态均方根误差小于使用 PID 控制器获得的均方根误差的 60%。

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