Design and Analysis of a Robust Control System for Triple Inverted Pendulum Stabilization

Fuente: arXiv
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Main Authors: Tasooji, Tohid Kargar, Khodadadi, Sakineh
Format: Preprint
Published: 2025
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author Tasooji, Tohid Kargar
Khodadadi, Sakineh
author_facet Tasooji, Tohid Kargar
Khodadadi, Sakineh
contents The design of robust controllers for triple inverted pendulum systems presents significant challenges due to their inherent instability and nonlinear dynamics. Furthermore, uncertainties in system parameters further complicate the control design. This paper investigates a robust control strategy for triple inverted pendulums under parameter uncertainty. Two control approaches, namely the $H_\infty$ controller and the $μ$-synthesis controller, are compared in terms of their ability to achieve reference tracking and disturbance rejection. Simulation results demonstrate that the $H_\infty$ controller provides superior transient performance, making it a promising solution for the robust stabilization of such complex systems.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22506
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Design and Analysis of a Robust Control System for Triple Inverted Pendulum Stabilization
Tasooji, Tohid Kargar
Khodadadi, Sakineh
Systems and Control
The design of robust controllers for triple inverted pendulum systems presents significant challenges due to their inherent instability and nonlinear dynamics. Furthermore, uncertainties in system parameters further complicate the control design. This paper investigates a robust control strategy for triple inverted pendulums under parameter uncertainty. Two control approaches, namely the $H_\infty$ controller and the $μ$-synthesis controller, are compared in terms of their ability to achieve reference tracking and disturbance rejection. Simulation results demonstrate that the $H_\infty$ controller provides superior transient performance, making it a promising solution for the robust stabilization of such complex systems.
title Design and Analysis of a Robust Control System for Triple Inverted Pendulum Stabilization
topic Systems and Control
url https://arxiv.org/abs/2503.22506