Journals / Turkish Journal of Electrical Engineering and Computer Science / 2012 / Cilt: 20 - Sayı: 1

Lyapunov's direct method for stabilization of the Furuta pendulum

Pages
99–110
Publication Date
2012-01-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The effectiveness of the proposed stabilization method is illustrated with simulation studies.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper presents a novel stabilization result for the Furuta pendulum for a large region of attraction including almost all of the upper half plane.
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Key Findings & Data:The solution is obtained via constructing a Lyapunov function after set of coordinate changes.
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Conclusion & Impact:The effectiveness of the proposed stabilization method is illustrated with simulation studies.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lyapunov based control · furuta pendulum · Lyapunov based control

Abstract

This paper presents a novel stabilization result for the Furuta pendulum for a large region of attraction including almost all of the upper half plane. The solution is obtained via constructing a Lyapunov function after set of coordinate changes. Then, a set of differential equations are solved to achieve asymptotic stability which is proved in accordance with La Salle's invariance principle. The effectiveness of the proposed stabilization method is illustrated with simulation studies.

Özet

This paper presents a novel stabilization result for the Furuta pendulum for a large region of attraction including almost all of the upper half plane. The solution is obtained via constructing a Lyapunov function after set of coordinate changes. Then, a set of differential equations are solved to achieve asymptotic stability which is proved in accordance with La Salle's invariance principle. The effectiveness of the proposed stabilization method is illustrated with simulation studies.

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Cite This Article

TÜRKER, T., GÖRGÜN, H., CANSEVER, G. (2012). Lyapunov's direct method for stabilization of the Furuta pendulum. Turkish Journal of Electrical Engineering and Computer Science, Cilt: 20 - Sayı: 1, 99–110. https://ajindex.com/articles/188787

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