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An Experimental Application of Total Energy Shaping Control:Stabilization of the Inverted Pendulum on a Cart in the Presence of Friction

机译:总能量整形控制的实验应用:存在摩擦的小车倒立摆的稳定化

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摘要

In this paper we report the experimental application of a state-feedback controller derived via the principles of Total Energy Shaping Control for the stabilization of underactuated mechanical systems. The particular application concerns the well-known inverted pendulum on a cart. We describe the first steps taken towards global stabilization of the inverted pendulum with Total Energy Shaping Control. The results show that performance of the nonlinear controller in the neighborhood of the equilibrium position is better compared to a linear H-infinity controller, since the transients are smoother and there is less overshoot. Furthermore, it is shown that the energy shaping controller has a great tuning potential that allows proper functioning of the closed-loop system in the presence of friction. This paper is intended to be the starting point in the development of tools that enable the control engineer to make deliberate choices in tuning the energy-shaping controller, based on performance in the presence of friction and in a later stage also for parameter uncertainties, input constraints and other issues that are relevant in a practical environment.
机译:在本文中,我们报告了通过总能量整形控制原理导出的状态反馈控制器在欠驱动机械系统稳定方面的实验应用。特定的应用涉及推车上众所周知的倒立摆。我们描述了通过总能量整形控制朝着倒立摆的全球稳定迈出的第一步。结果表明,与线性H-∞控制器相比,非线性控制器在平衡位置附近的性能更好,因为瞬变更平滑且过冲更少。此外,示出了能量整形控制器具有很大的调节潜力,其允许在存在摩擦的情况下闭环系统的适当功能。本文旨在作为工具开发的起点,这些工具使控制工程师能够基于存在摩擦力时的性能,在稍后阶段还针对参数不确定性,输入,在调整能量整形控制器方面做出明智的选择。约束和其他在实际环境中相关的问题。

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