L-2 - L-infinity Filtering For a Class T-S Fuzzy Discrete Systems Under Stochastic Perturbation

T. Zoulagh (1) , B. Boukili (2) , A. Hmamed (1) , A. El Hajjaji (3)

1 LESSI-départment de physique
2 USMBA - Université Sidi Mohamed Ben Abdellah
3 MIS - Modélisation, Information et Systèmes - UR UPJV 4290

This work tackles the L-2 - L-infinity filter design problem for the discrete-time Takagi-Sugeno (T-S) fuzzy stochastic systems. The approach based on the (T-S) fuzzy systems, and the objective is to provide a new design with sufficient condition via LMI procedure. Less conservative results are obtained through the use of the projection lemma to introduce additional free matrices. These tools allow to obtain a full-order filter design with extra degree of freedom in order to optimize the L-2-L-infinity performance. At the end, several examples are used to illustrate the efficiency of the proposed approach.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

T. Zoulagh, B. Boukili, A. Hmamed, A. El Hajjaji. L-2 - L-infinity Filtering For a Class T-S Fuzzy Discrete Systems Under Stochastic Perturbation. 2017 14TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD), Mar 2017, Marrakech, Morocco. pp.268-273. ⟨hal-03634613⟩