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
fDate :
6/23/1905 12:00:00 AM
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;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Conference_Location :
Melbourne, Vic.
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1008890