Title
L<inf>2</inf>–L<inf>∞</inf> filtering for a class T-S fuzzy discrete systems under stochastic perturbation
Abstract
This work tackles the L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> 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 <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance. At the end, several examples are used to illustrate the efficiency of the proposed approach.
Year
DOI
Venue
2017
10.1109/SSD.2017.8166962
2017 14th International Multi-Conference on Systems, Signals & Devices (SSD)
Keywords
DocType
ISBN
L2–L∞ filtering,Takagi-Sugeno (T-S)fuzzy systems,stochastic systems,slack variables,Linear matrix inequalities (LMIs)
Conference
978-1-5386-3176-8
Citations 
PageRank 
References 
0
0.34
19
Authors
4
Name
Order
Citations
PageRank
Taha Zoulagh100.34
Bensalem Boukili200.34
Abdelaziz Hmamed300.34
Ahmed El Hajjaji400.68