Title
Some results about stabilization of periodic Takagi-Sugeno models
Abstract
A class of non linear discrete time models with periodic parameters is considered in a Takagi-Sugeno (TS) form. The main objective of this paper is to show the potential improvement in the area of nonlinear periodic system control and observation using TS models. In order to achieve this goal, two problems are developed in this paper. The first part is dedicated to the design of a periodic TS fuzzy observer, where stability conditions are provided. In the second part, some results about the stabilization of periodic TS models with time varying delay are given. The adopted framework is based on Lyapunov's theory and uses linear matrix inequalities. In each case, a simulation example is provided to show the efficiency of the method.
Year
DOI
Venue
2009
10.1109/FUZZY.2009.5277323
FUZZ-IEEE
Keywords
Field
DocType
ts model,nonlinear periodic system control,time varying delay,periodic ts fuzzy observer,potential improvement,linear matrix inequality,periodic ts model,non linear discrete time,main objective,periodic takagi-sugeno model,periodic parameter,stability analysis,discrete time,stability,fuzzy control,fuzzy systems,asymptotic stability,mathematical model
Lyapunov function,Nonlinear system,Control theory,Stability conditions,Exponential stability,Fuzzy control system,Discrete time and continuous time,Periodic graph (geometry),Mathematics,Linear matrix inequality
Conference
Citations 
PageRank 
References 
3
0.40
13
Authors
3
Name
Order
Citations
PageRank
H. Kerkeni1542.10
J. Lauber227522.74
Thierry-Marie Guerra327423.91