Employing Finite Element Analysis and Robust Control Concepts in Mechatronic System Design-Flexible Manipulator Case Study

The paper deals with development of a methodology for mechatronic system design using state-of-the-art model-based system engineering methods. A simple flexible robotic arm is considered as a benchmark problem for the evaluation of various techniques used in the phases of modelling, analysis, contro...

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Main Authors: Martin Goubej, Jana Königsmarková, Ronald Kampinga, Jakko Nieuwenkamp, Stéphane Paquay
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/8/3689
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author Martin Goubej
Jana Königsmarková
Ronald Kampinga
Jakko Nieuwenkamp
Stéphane Paquay
author_facet Martin Goubej
Jana Königsmarková
Ronald Kampinga
Jakko Nieuwenkamp
Stéphane Paquay
author_sort Martin Goubej
collection DOAJ
description The paper deals with development of a methodology for mechatronic system design using state-of-the-art model-based system engineering methods. A simple flexible robotic arm is considered as a benchmark problem for the evaluation of various techniques used in the phases of modelling, analysis, control system design, validation, and implementation. The flexible nature of the mechanical structure introduces inherently oscillatory dynamics in the target bandwidth range, which complicates all the above-mentioned design steps. This paper demonstrates the process of deriving a complex nonlinear model of the flexible arm setup. An initial idea about the plant dynamics is acquired from analytical modelling using the Euler–Bernoulli beam theory. A more thorough understanding is subsequently acquired from finite element analysis. Linearisation and order reduction are the next steps necessary for the derivation of a simplified control-relevant model. A time-dependent variable parameter of load mass position is considered and a robust controller is subsequently designed in order to fulfil certain performance criteria for all the admissible plant configurations. This is performed using a recent H-infinity loop shaping method for fixed structure controller design. The results are validated by means of a physical plant, comparing the experimental data with the model predictions.
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spelling doaj.art-7d9f6f526f03422493a2845125c586422023-11-21T16:14:17ZengMDPI AGApplied Sciences2076-34172021-04-01118368910.3390/app11083689Employing Finite Element Analysis and Robust Control Concepts in Mechatronic System Design-Flexible Manipulator Case StudyMartin Goubej0Jana Königsmarková1Ronald Kampinga2Jakko Nieuwenkamp3Stéphane Paquay4NTIS Research Centre, Faculty of Applied Sciences, University of West Bohemia, 30614 Pilsen, CzechiaNTIS Research Centre, Faculty of Applied Sciences, University of West Bohemia, 30614 Pilsen, CzechiaReden B.V., 7555 RJ Hengelo, The NetherlandsReden B.V., 7555 RJ Hengelo, The NetherlandsOpen Engineering S.A., 4031 Liège, BelgiumThe paper deals with development of a methodology for mechatronic system design using state-of-the-art model-based system engineering methods. A simple flexible robotic arm is considered as a benchmark problem for the evaluation of various techniques used in the phases of modelling, analysis, control system design, validation, and implementation. The flexible nature of the mechanical structure introduces inherently oscillatory dynamics in the target bandwidth range, which complicates all the above-mentioned design steps. This paper demonstrates the process of deriving a complex nonlinear model of the flexible arm setup. An initial idea about the plant dynamics is acquired from analytical modelling using the Euler–Bernoulli beam theory. A more thorough understanding is subsequently acquired from finite element analysis. Linearisation and order reduction are the next steps necessary for the derivation of a simplified control-relevant model. A time-dependent variable parameter of load mass position is considered and a robust controller is subsequently designed in order to fulfil certain performance criteria for all the admissible plant configurations. This is performed using a recent H-infinity loop shaping method for fixed structure controller design. The results are validated by means of a physical plant, comparing the experimental data with the model predictions.https://www.mdpi.com/2076-3417/11/8/3689modelling for controlflexible mechanical systemsfinite element analysismodel-based designdigital twinrobust control
spellingShingle Martin Goubej
Jana Königsmarková
Ronald Kampinga
Jakko Nieuwenkamp
Stéphane Paquay
Employing Finite Element Analysis and Robust Control Concepts in Mechatronic System Design-Flexible Manipulator Case Study
Applied Sciences
modelling for control
flexible mechanical systems
finite element analysis
model-based design
digital twin
robust control
title Employing Finite Element Analysis and Robust Control Concepts in Mechatronic System Design-Flexible Manipulator Case Study
title_full Employing Finite Element Analysis and Robust Control Concepts in Mechatronic System Design-Flexible Manipulator Case Study
title_fullStr Employing Finite Element Analysis and Robust Control Concepts in Mechatronic System Design-Flexible Manipulator Case Study
title_full_unstemmed Employing Finite Element Analysis and Robust Control Concepts in Mechatronic System Design-Flexible Manipulator Case Study
title_short Employing Finite Element Analysis and Robust Control Concepts in Mechatronic System Design-Flexible Manipulator Case Study
title_sort employing finite element analysis and robust control concepts in mechatronic system design flexible manipulator case study
topic modelling for control
flexible mechanical systems
finite element analysis
model-based design
digital twin
robust control
url https://www.mdpi.com/2076-3417/11/8/3689
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