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H∞ filter design for nonlinear systems with interval time-varying delay via T-S fuzzy models
Ist Teil von
Multimedia tools and applications, 2023-07, Vol.82 (17), p.25829-25846
Ort / Verlag
New York: Springer US
Erscheinungsjahr
2023
Link zum Volltext
Quelle
SpringerLink
Beschreibungen/Notizen
This paper addresses the H
∞
filters design problem for delayed nonlinear systems subject to
L
2
−
norm disturbances via Takagi-Sugeno (T-S) fuzzy approach with interval time-varying delay. An appropriate Lyapunov-Krasovskii functional (LKF) is established in the framework of augmented system. Then, on the basis of the free-weighting matrix technique and convex method, some improved integral inequality are employed and combined with a decoupling approach without ignoring any useful terms. Therefore, less conservative delay dependent conditions are obtained in terms of linear matrix inequality (LMIs), wish can be solved by using the Matlab LMI toolbox, to achieve the desired H
∞
performance. Finally, three numerical examples are given to demonstrate the advantages and the effectiveness of the obtained results, compared with some previous method in the literature.