Construction of extended Lyapunov functions and control laws for discrete-time TS systems

Author

Lendek, Zs ; Guerra, T.M. ; Lauber, J.

Author_Institution

Dept. of Autom., Tech. Univ. of Cluj-Napoca, Cluj-Napoca, Romania

fYear

2012

fDate

10-15 June 2012

Firstpage

1

Lastpage

6

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.

Keywords

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; Closed loop systems; Computational modeling; Fuzzy systems; Lyapunov methods; Observers; Stability analysis; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on

Conference_Location

Brisbane, QLD

ISSN

1098-7584

Print_ISBN

978-1-4673-1507-4

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZ-IEEE.2012.6250805

Filename

6250805