Title
Controller design for TS models using delayed nonquadratic Lyapunov functions.
Abstract
In the last few years, nonquadratic Lyapunov functions have been more and more frequently used in the analysis and controller design for Takagi-Sugeno fuzzy models. In this paper, we developed relaxed conditions for controller design using nonquadratic Lyapunov functions and delayed controllers and give a general framework for the use of such Lyapunov functions. The two controller design methods developed in this framework outperform and generalize current state-of-the-art methods. The proposed methods are extended to robust and H∞ control and α -sample variation.
Year
DOI
Venue
2015
10.1109/TCYB.2014.2327657
IEEE transactions on cybernetics
Keywords
Field
DocType
nonquadratic lyapunov functions,discrete-time takagi--sugeno models,control system synthesis,robust control,delayed controllers,relaxed condition,discrete-time takagi???sugeno models,takagi-sugeno fuzzy model,delays,controller design,ts fuzzy model,delayed nonquadratic lyapunov functions,h∞ control,fuzzy control,lmi,α-sample variation,lyapunov methods,indexes,design methodology
Lyapunov function,Mathematical optimization,Lyapunov equation,Controller design,Control theory,Fuzzy logic,Design methods,Lyapunov redesign,Mathematics
Journal
Volume
Issue
ISSN
45
3
2168-2275
Citations 
PageRank 
References 
19
0.62
26
Authors
3
Name
Order
Citations
PageRank
Zsófia Lendek1454.33
Thierry Marie Guerra2106073.97
J. Lauber327522.74