Design and tuning of a fuzzy proportional retarded controller: frequency approach

The time delays are usually an undesirable phenomenon in the control processes, because these can induce instability or a poor performance in the system. However, the time delays have the property of assisting in stabilizing. This article benefiting from this property to propose the design and tunin...

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Main Authors: R. Villafuerte, J.A. Ortega Melo
Format: Article
Language:Spanish
Published: Universitat Politecnica de Valencia 2015-10-01
Series:Revista Iberoamericana de Automática e Informática Industrial RIAI
Subjects:
Online Access:https://polipapers.upv.es/index.php/RIAI/article/view/9351
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author R. Villafuerte
J.A. Ortega Melo
author_facet R. Villafuerte
J.A. Ortega Melo
author_sort R. Villafuerte
collection DOAJ
description The time delays are usually an undesirable phenomenon in the control processes, because these can induce instability or a poor performance in the system. However, the time delays have the property of assisting in stabilizing. This article benefiting from this property to propose the design and tuning of a fuzzy proportional retarded controller (BPR) to stabilize a class of nonlinear systems. In this frame, the stabilization of a nonlinear system is guaranteed through the σ-stability of its Takagi-Sugeno (TS) fuzzy model in close-loop with BPR controller. The BPR controller design is based on inclusion a retarded action in the conventional structure. While the tuning of the BPR control law, has been addressed in the frequency approach using D-partition method. The stability of TS-BPR fuzzy system is ensured by analazing the root locus of its characteristic quasipolynomial. The design and tuning of BPR controller are exemplified on a car-pendulum experimental platform. The performance of BPR is compared with a parallel distributed compensation classic.
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spelling doaj.art-bbfd965ace164979b254223309d86e992022-12-21T22:23:17ZspaUniversitat Politecnica de ValenciaRevista Iberoamericana de Automática e Informática Industrial RIAI1697-79121697-79202015-10-0112446747510.1016/j.riai.2015.07.0056397Design and tuning of a fuzzy proportional retarded controller: frequency approachR. Villafuerte0J.A. Ortega Melo1Universidad Autónoma del Estado de HidalgoUniversidad Autónoma del Estado de HidalgoThe time delays are usually an undesirable phenomenon in the control processes, because these can induce instability or a poor performance in the system. However, the time delays have the property of assisting in stabilizing. This article benefiting from this property to propose the design and tuning of a fuzzy proportional retarded controller (BPR) to stabilize a class of nonlinear systems. In this frame, the stabilization of a nonlinear system is guaranteed through the σ-stability of its Takagi-Sugeno (TS) fuzzy model in close-loop with BPR controller. The BPR controller design is based on inclusion a retarded action in the conventional structure. While the tuning of the BPR control law, has been addressed in the frequency approach using D-partition method. The stability of TS-BPR fuzzy system is ensured by analazing the root locus of its characteristic quasipolynomial. The design and tuning of BPR controller are exemplified on a car-pendulum experimental platform. The performance of BPR is compared with a parallel distributed compensation classic.https://polipapers.upv.es/index.php/RIAI/article/view/9351Sistemas de control no-linealsistemas borrosossistemas con retardoscontrolador borroso PR
spellingShingle R. Villafuerte
J.A. Ortega Melo
Design and tuning of a fuzzy proportional retarded controller: frequency approach
Revista Iberoamericana de Automática e Informática Industrial RIAI
Sistemas de control no-lineal
sistemas borrosos
sistemas con retardos
controlador borroso PR
title Design and tuning of a fuzzy proportional retarded controller: frequency approach
title_full Design and tuning of a fuzzy proportional retarded controller: frequency approach
title_fullStr Design and tuning of a fuzzy proportional retarded controller: frequency approach
title_full_unstemmed Design and tuning of a fuzzy proportional retarded controller: frequency approach
title_short Design and tuning of a fuzzy proportional retarded controller: frequency approach
title_sort design and tuning of a fuzzy proportional retarded controller frequency approach
topic Sistemas de control no-lineal
sistemas borrosos
sistemas con retardos
controlador borroso PR
url https://polipapers.upv.es/index.php/RIAI/article/view/9351
work_keys_str_mv AT rvillafuerte designandtuningofafuzzyproportionalretardedcontrollerfrequencyapproach
AT jaortegamelo designandtuningofafuzzyproportionalretardedcontrollerfrequencyapproach