Finite Frequency H-infinity Control of Two-Dimensional Continuous Takagi-Sugeno Systems

Er-rachid, Ismail; Zoulagh, Taha; Tadeo, Fernando; Merzouki, Hassnae; Tissir, El Houssaine; IEEE

Abstract

This paper solves a state feedback H-infinity control issue for two-dimensional (2D) nonlinear continuous systems described by Takagi-Sugeno (T-S) fuzzy model by using a finite frequency (FF) approach. In particular, a Roesser model is investigated by employing the Generalized Kalman Yakubovich Popov (GKYP) lemma. New conditions guaranteeing the FF H-infinity control and the bounded-input-bounded-output (BIBO) stability of the closed-loop system are established in terms of Linear Matrix Inequalities (LMIs). These stipulations extend minimal conservative results not only by getting the controller gain, but also in terms of H-infinity norm and closed-loop states' convergence when compared with the entire frequency (EF) design and the uncontrolled states. To exhibit the superiority of the submitted strategy, an implementation to a simulated system is thus presented.

Más información

Título según WOS: Finite Frequency H∞ Control of Two-Dimensional Continuous Takagi-Sugeno Systems
Título de la Revista: 2017 25TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED)
Editorial: IEEE
Fecha de publicación: 2022
Página de inicio: 115
Página final: 120
DOI:

10.1109/MED54222.2022.9837251

Notas: ISI