DocumentCode
1711851
Title
Non-quadratic stabilisation of discrete Takagi Sugeno fuzzy models
Author
Guerra, Thierry Marie ; Perruquetti, Wilfrid
Author_Institution
LAMIH, UMR CNRS, Univ. of Valenciennes, France
Volume
3
fYear
2001
fDate
6/23/1905 12:00:00 AM
Firstpage
1271
Lastpage
1274
Abstract
Deals with discrete Takagi Sugeno fuzzy models. These models allow the representation of numerous nonlinear models, and powerful tools are available to derive control laws. Those ones are mainly based on a typical Lyapunov approach using well-known quadratic functions. The main difference in the proposed approach is the use of non-quadratic Lyapunov functions. It allows the definition of new stability conditions which are less conservative than in the quadratic case. Examples illustrate the efficiency of the proposed approaches
Keywords
Lyapunov methods; discrete systems; fuzzy systems; matrix algebra; stability criteria; control laws; discrete Takagi Sugeno fuzzy models; nonlinear models; nonquadratic Lyapunov functions; nonquadratic stabilisation; stability conditions; Control system synthesis; Fuzzy control; Fuzzy sets; Fuzzy systems; Lyapunov method; Stability; Symmetric matrices; Turning; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Conference_Location
Melbourne, Vic.
Print_ISBN
0-7803-7293-X
Type
conf
DOI
10.1109/FUZZ.2001.1008890
Filename
1008890
Link To Document