Title
Periodic Lyapunov functions for periodic TS systems.
Abstract
In this paper we consider stability analysis and controller design for periodic Takagi–Sugeno fuzzy models. To develop the conditions, we use a switching nonquadratic Lyapunov function defined at the time instants when the subsystems switch. Using the proposed conditions we are able to handle periodic Takagi–Sugeno systems where the local models or even the subsystems are unstable or cannot be stabilized. The application of the conditions is illustrated on numerical examples.
Year
DOI
Venue
2013
10.1016/j.sysconle.2012.12.003
Systems & Control Letters
Keywords
Field
DocType
Stability analysis,Controller design,TS systems,Periodic systems,Non-quadratic Lyapunov function
Lyapunov function,Mathematical optimization,Control theory,Controller design,Fuzzy logic,Lyapunov redesign,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
62
4
0167-6911
Citations 
PageRank 
References 
7
0.49
17
Authors
3
Name
Order
Citations
PageRank
Zsófia Lendek1788.23
J. Lauber227522.74
Thierry-Marie Guerra327423.91