Ball and Plate Mechanism Actuated with Pneumatic Artificial Muscles

A novel ball-and-plate mechanism actuated with pneumatic artificial muscles is presented in this paper. The pneumatic muscles are arranged in two antagonistic configuration pairs to generate torque around two axes of plate rotation. The ball-and-plate system is classified as an under-actuated, high-...

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Main Authors: Juraj Benić, Andreas Šantek, Željko Šitum
Format: Article
Language:English
Published: University North 2025-01-01
Series:Tehnički Glasnik
Subjects:
Online Access:https://hrcak.srce.hr/file/478123
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author Juraj Benić
Andreas Šantek
Željko Šitum
author_facet Juraj Benić
Andreas Šantek
Željko Šitum
author_sort Juraj Benić
collection DOAJ
description A novel ball-and-plate mechanism actuated with pneumatic artificial muscles is presented in this paper. The pneumatic muscles are arranged in two antagonistic configuration pairs to generate torque around two axes of plate rotation. The ball-and-plate system is classified as an under-actuated, high-order nonlinear system, with additional nonlinearities introduced by the air compressibility of the pneumatic muscles. A nonlinear mathematical model of the ball-and-plate system has been derived, in which the proposed system is modelled as two ball-and-beam systems, each representing one direction of the ball’s movement. Along with the nonlinear equations of motion, a simplified dynamical model of the pneumatic muscles and the proportional valve is included. The linearized model is developed and represented in a state-space form, which is used for LQR controller synthesis. The proposed controller is tested through numerical simulations and experimentally validated on the developed ball-and-plate mechanism setup.
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spelling doaj-art-5ad86be0d2f64a8f869a3338031da0a42025-08-20T02:10:42ZengUniversity NorthTehnički Glasnik1846-61681848-55882025-01-0119si1131810.31803/tg-20250226133036Ball and Plate Mechanism Actuated with Pneumatic Artificial MusclesJuraj Benić0Andreas Šantek1Željko Šitum2School of Applied Mathematics and Computer Science, University of Osijek, Trg Ljudevita Gaja 6, 31000 Osijek, CroatiaUniversity of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10000 Zagreb, CroatiaUniversity of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10000 Zagreb, CroatiaA novel ball-and-plate mechanism actuated with pneumatic artificial muscles is presented in this paper. The pneumatic muscles are arranged in two antagonistic configuration pairs to generate torque around two axes of plate rotation. The ball-and-plate system is classified as an under-actuated, high-order nonlinear system, with additional nonlinearities introduced by the air compressibility of the pneumatic muscles. A nonlinear mathematical model of the ball-and-plate system has been derived, in which the proposed system is modelled as two ball-and-beam systems, each representing one direction of the ball’s movement. Along with the nonlinear equations of motion, a simplified dynamical model of the pneumatic muscles and the proportional valve is included. The linearized model is developed and represented in a state-space form, which is used for LQR controller synthesis. The proposed controller is tested through numerical simulations and experimentally validated on the developed ball-and-plate mechanism setup.https://hrcak.srce.hr/file/478123ball and plateLQRmathematical modelingpneumatics muscles
spellingShingle Juraj Benić
Andreas Šantek
Željko Šitum
Ball and Plate Mechanism Actuated with Pneumatic Artificial Muscles
Tehnički Glasnik
ball and plate
LQR
mathematical modeling
pneumatics muscles
title Ball and Plate Mechanism Actuated with Pneumatic Artificial Muscles
title_full Ball and Plate Mechanism Actuated with Pneumatic Artificial Muscles
title_fullStr Ball and Plate Mechanism Actuated with Pneumatic Artificial Muscles
title_full_unstemmed Ball and Plate Mechanism Actuated with Pneumatic Artificial Muscles
title_short Ball and Plate Mechanism Actuated with Pneumatic Artificial Muscles
title_sort ball and plate mechanism actuated with pneumatic artificial muscles
topic ball and plate
LQR
mathematical modeling
pneumatics muscles
url https://hrcak.srce.hr/file/478123
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