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Mathematical Problems in Engineering
Article . 2011 . Peer-reviewed
License: CC BY
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Mathematical Problems in Engineering
Article
License: CC BY
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Article . 2011
Data sources: zbMATH Open
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A Flatness‐Based Controller for the Stabilization of the Inverted Pendulum

A flatness-based controller for the stabilization of the inverted pendulum
Authors: Aguilar-Ibáñez, Carlos; Sira-Ramírez, Hebertt; Suárez-Castañón, Miguel S.;

A Flatness‐Based Controller for the Stabilization of the Inverted Pendulum

Abstract

We propose a flatness based approach for controlling the inverted pendulum cart system, under the assumption that the pendulum state is always located on a vicinity of its unstable equilibrium point. This is achieved by representing the original system, as a chain of integrators with an additive nonlinear state dependent perturbation. After discarding the small nonlinear perturbation, we may directly use design tools provided by the the flatness approach. The effectiveness and robustness of the obtained control law, which turned out to have a large domain of attraction, were numerically assessed in the context of stabilization and, also, for a reference oscillatory trajectory tracking task.

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Keywords

Control of mechanical systems, Stabilization of systems by feedback

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Average
gold