Paper Info
Title
H∞ State Control for 2D Fuzzy FM Systems with Stochastic Perturbation
Abstract
This paper investigates the $$H_{\infty }$$H control problem for two-dimensional (2D) Takagi---Sugeno (T---S) fuzzy systems in a Fornasini---Marchesini second (FM II) model with stochastic perturbation. Our aim is to develop the state feedback control for 2D (T---S) fuzzy systems with stochastic perturbation and reduce the conservatism by using some slack matrices. Attention is focused on the design of the state feedback control, which guarantees the closed-loop system to be mean-square asymptotically stable and to have a prescribed $$H_{\infty }$$H performance. Sufficient conditions are derived for the existence of such controls in terms of linear matrix inequalities, and the corresponding control synthesis problem, then, is solved. Numerical examples are given to demonstrate the effectiveness of the proposed method.
Year
DOI
Venue
2015
10.1007/s00034-014-9889-z
Circuits, Systems, and Signal Processing
Keywords
DocType
Volume
2D stochastic systems,2D fuzzy systems,H-infinity performance,Stochastic perturbation,Robust control
Journal
34
Issue
ISSN
Citations 
3
0278-081X
5
PageRank 
References 
Authors
0.40
16
4
Name
Order
Citations
PageRank
Bensalem Boukili172.83
abdelaziz hmamed29617.82
Abdellah Benzaouia324625.20
Ahmed El Hajjaji416932.42