Title | ||
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Construction of extended Lyapunov functions and control laws for discrete-time TS systems |
Abstract | ||
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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 |
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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 Lendek | 1 | 45 | 4.33 |
Thierry Marie Guerra | 2 | 1060 | 73.97 |
J. Lauber | 3 | 275 | 22.74 |