An Interval Approach for Robust Parameterization of Controllers for Electric Drives

Uncertain models, e.g., due to component variations and measurement errors during system identification, in combination with the desire to be able to provide guarantees regarding system performances a priori, represent major challenges for users when designing controllers on the basis of models. The...

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Main Authors: Philipp Schäfer, Stefan Krebs
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Machines
Subjects:
Online Access:https://www.mdpi.com/2075-1702/10/12/1176
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author Philipp Schäfer
Stefan Krebs
author_facet Philipp Schäfer
Stefan Krebs
author_sort Philipp Schäfer
collection DOAJ
description Uncertain models, e.g., due to component variations and measurement errors during system identification, in combination with the desire to be able to provide guarantees regarding system performances a priori, represent major challenges for users when designing controllers on the basis of models. The aim of this publication is to mitigate this obstacle in the design. For this purpose, criteria of classical control engineering are combined with interval arithmetic in general and the SIVIA algorithm in particular. Thereby, the approach is valid for linear dead time systems. The algorithm evaluates performance criteria for closed interval-bounded sets of parameter values in a single iteration. When overestimation prevents a definite result, the size of the parameter set is recursively reduced by bisecting the evaluated set. The application of the methodology to the controller design for an electromechanical linear actuator shows that the approach not only contributes to theory but can also simplify the practical controller design, especially in the area of electric drives.
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spelling doaj.art-505e5951c11c4c88b183c2c1f7b2ab432023-11-24T16:16:55ZengMDPI AGMachines2075-17022022-12-011012117610.3390/machines10121176An Interval Approach for Robust Parameterization of Controllers for Electric DrivesPhilipp Schäfer0Stefan Krebs1Physik Instrumente (PI) GmbH & Co. KG, Auf der Roemerstraße 1, 76228 Karlsruhe, GermanyPhysik Instrumente (PI) GmbH & Co. KG, Auf der Roemerstraße 1, 76228 Karlsruhe, GermanyUncertain models, e.g., due to component variations and measurement errors during system identification, in combination with the desire to be able to provide guarantees regarding system performances a priori, represent major challenges for users when designing controllers on the basis of models. The aim of this publication is to mitigate this obstacle in the design. For this purpose, criteria of classical control engineering are combined with interval arithmetic in general and the SIVIA algorithm in particular. Thereby, the approach is valid for linear dead time systems. The algorithm evaluates performance criteria for closed interval-bounded sets of parameter values in a single iteration. When overestimation prevents a definite result, the size of the parameter set is recursively reduced by bisecting the evaluated set. The application of the methodology to the controller design for an electromechanical linear actuator shows that the approach not only contributes to theory but can also simplify the practical controller design, especially in the area of electric drives.https://www.mdpi.com/2075-1702/10/12/1176robust controlelectromagnetic linear actuatorinterval arithmetic
spellingShingle Philipp Schäfer
Stefan Krebs
An Interval Approach for Robust Parameterization of Controllers for Electric Drives
Machines
robust control
electromagnetic linear actuator
interval arithmetic
title An Interval Approach for Robust Parameterization of Controllers for Electric Drives
title_full An Interval Approach for Robust Parameterization of Controllers for Electric Drives
title_fullStr An Interval Approach for Robust Parameterization of Controllers for Electric Drives
title_full_unstemmed An Interval Approach for Robust Parameterization of Controllers for Electric Drives
title_short An Interval Approach for Robust Parameterization of Controllers for Electric Drives
title_sort interval approach for robust parameterization of controllers for electric drives
topic robust control
electromagnetic linear actuator
interval arithmetic
url https://www.mdpi.com/2075-1702/10/12/1176
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