Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy Systems

Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy Systems

This paper deals with the problem of observer design of the vehicle model which is represented by Takagi–Sugeno (T–S) fuzzy systems with the presence of uncertainties. A relaxed observer design is presented to estimate the unmeasurable states and the faults of the vehicle lateral dynamics model, sim...

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Main Authors: N. El Youssfi, R. El Bachtiri, T. Zoulagh, H. El Aiss
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2020/8797482
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spelling doaj-c1725511b6134405bd617b1061d39b342020-11-25T03:21:32ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572020-01-01202010.1155/2020/87974828797482Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy SystemsN. El Youssfi0R. El Bachtiri1T. Zoulagh2H. El Aiss3Industrial Technologies and Services Laboratory (Lab-TSI), Higher School of Technology, STI-FST Doctoral Study Centre, Sidi Mohamed Ben Abdellah University, Fez, MoroccoIndustrial Technologies and Services Laboratory (Lab-TSI), Higher School of Technology, STI-FST Doctoral Study Centre, Sidi Mohamed Ben Abdellah University, Fez, MoroccoIndustrial Technologies and Services Laboratory (Lab-TSI), Higher School of Technology, STI-FST Doctoral Study Centre, Sidi Mohamed Ben Abdellah University, Fez, MoroccoIndustrial Technologies and Services Laboratory (Lab-TSI), Higher School of Technology, STI-FST Doctoral Study Centre, Sidi Mohamed Ben Abdellah University, Fez, MoroccoThis paper deals with the problem of observer design of the vehicle model which is represented by Takagi–Sugeno (T–S) fuzzy systems with the presence of uncertainties. A relaxed observer design is presented to estimate the unmeasurable states and the faults of the vehicle lateral dynamics model, simultaneously. The vehicle model is transformed into a system with unknown inputs. Then, it is rebuilt by adding the default to the system state equation. Based on the Lyapunov function approach and the introduction of some slack variables, sufficient conditions of unknown input observer design are formulated as Linear Matrix Inequalities (LMIs). Finally, the simulation section clearly shows the importance and effectiveness of the proposed strategy.http://dx.doi.org/10.1155/2020/8797482
collection DOAJ
language English
format Article
sources DOAJ
author N. El Youssfi
R. El Bachtiri
T. Zoulagh
H. El Aiss
spellingShingle N. El Youssfi
R. El Bachtiri
T. Zoulagh
H. El Aiss
Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy Systems
Journal of Control Science and Engineering
author_facet N. El Youssfi
R. El Bachtiri
T. Zoulagh
H. El Aiss
author_sort N. El Youssfi
title Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy Systems
title_short Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy Systems
title_full Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy Systems
title_fullStr Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy Systems
title_full_unstemmed Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T–S Fuzzy Systems
title_sort relaxed state and fault estimation for vehicle lateral dynamics represented by t–s fuzzy systems
publisher Hindawi Limited
series Journal of Control Science and Engineering
issn 1687-5249
1687-5257
publishDate 2020-01-01
description This paper deals with the problem of observer design of the vehicle model which is represented by Takagi–Sugeno (T–S) fuzzy systems with the presence of uncertainties. A relaxed observer design is presented to estimate the unmeasurable states and the faults of the vehicle lateral dynamics model, simultaneously. The vehicle model is transformed into a system with unknown inputs. Then, it is rebuilt by adding the default to the system state equation. Based on the Lyapunov function approach and the introduction of some slack variables, sufficient conditions of unknown input observer design are formulated as Linear Matrix Inequalities (LMIs). Finally, the simulation section clearly shows the importance and effectiveness of the proposed strategy.
url http://dx.doi.org/10.1155/2020/8797482
work_keys_str_mv AT nelyoussfi relaxedstateandfaultestimationforvehiclelateraldynamicsrepresentedbytsfuzzysystems
AT relbachtiri relaxedstateandfaultestimationforvehiclelateraldynamicsrepresentedbytsfuzzysystems
AT tzoulagh relaxedstateandfaultestimationforvehiclelateraldynamicsrepresentedbytsfuzzysystems
AT helaiss relaxedstateandfaultestimationforvehiclelateraldynamicsrepresentedbytsfuzzysystems
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