Title
Construction of extended Lyapunov functions and control laws for discrete-time TS systems
Abstract
Non-quadratic Lyapunov functions have now been more and more frequently used for the analysis and design of Takagi-Sugeno fuzzy models. In this paper, we use a delayed non-quadratic Lyapunov function to develop controller design conditions for TS systems. The conditions can easily be formulated as LMIs. We show that in certain cases the developed conditions are more relaxed than current state-of-the-art methods. In order to further reduce the conservativeness, we also extend the conditions to α-sample variation.
Year
DOI
Venue
2012
10.1109/FUZZ-IEEE.2012.6250805
Fuzzy Systems
Keywords
Field
DocType
Lyapunov methods,control system synthesis,delays,discrete time systems,linear matrix inequalities,α-sample variation,LMI,Takagi-Sugeno fuzzy models,controller design conditions,delayed nonquadratic Lyapunov function,discrete-time TS systems,extended Lyapunov functions
Lyapunov function,Lyapunov equation,Control theory,Computer science,Fuzzy logic,Lyapunov optimization,Lyapunov redesign,Discrete time and continuous time,Fuzzy control system,Lyapunov exponent
Conference
ISSN
ISBN
Citations 
1098-7584 E-ISBN : 978-1-4673-1505-0
978-1-4673-1505-0
6
PageRank 
References 
Authors
0.47
16
3
Name
Order
Citations
PageRank
Zsófia Lendek1454.33
Thierry Marie Guerra2106073.97
J. Lauber327522.74