Guaranteed region of attraction estimation for time-delayed fuzzy systems via static output-feedback control

This paper introduces a novel delay-dependent condition for static output-feedback control of Takagi–Sugeno (TS) fuzzy models with time-varying delay. A distinctive feature of the proposed approach is the local asymptotic stability of the origin of the closed-loop system, unlike other works in the l...

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Bibliographic Details
Published in:Automatica (Oxford) 2022-09, Vol.143, p.110438, Article 110438
Main Authors: Peixoto, Márcia L.C., Coutinho, Pedro Henrique Silva, Lacerda, Márcio J., Palhares, Reinaldo Martinez
Format: Article
Language:English
Subjects:
Linear matrix inequalities
Static output-feedback control
Takagi–Sugeno fuzzy model
Time-varying delays
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Summary:This paper introduces a novel delay-dependent condition for static output-feedback control of Takagi–Sugeno (TS) fuzzy models with time-varying delay. A distinctive feature of the proposed approach is the local asymptotic stability of the origin of the closed-loop system, unlike other works in the literature. This ensures the correct operation of the closed-loop system since its trajectories remain inside the guaranteed region of attraction estimation obtained inside of the validity region of the TS fuzzy model. A numerical example illustrates the potential and effectiveness of the proposed conditions.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2022.110438