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- Title
Nonfragile H∞ tracking control strategies for classes of linear and bilinear uncertain Takagi-Sugeno fuzzy systems.
- Authors
Ghorbel, Chekib; Benhadj Braiek, Naceur
- Abstract
This paper presents fuzzy tracking control strategies for classes of linear and bilinear Takagi-Sugeno Fuzzy System with Uncertainties and Disturbances (T-S FSUD). For both classes, the Lyapunov direct approach and the parallel distributed compensation concept are used to design nonfragile H ∞ tracking controllers, which ensure the robust asymptotic stability of augmented systems despite the presence of parameter uncertainties, external disturbances, and controllers fragility. Besides that, based on the Schur complement, the separation lemma, and through some variable transformations, sufficient stability conditions of each augmented T-S FSUD are established and formulated in terms of linear matrix inequalities. Finally, numerical simulations are carried out to demonstrate the validity and the applicability of designed control schemes on tracking control of an inverted pendulum and a nonlinear mechanical system.
- Subjects
INVERTED pendulum (Control theory); FUZZY systems; LINEAR matrix inequalities; SCHUR complement; UNCERTAIN systems; MATRIX inequalities; NONLINEAR systems
- Publication
Transactions of the Institute of Measurement & Control, 2022, Vol 44, Issue 11, p2166
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/01423312221075473