Title :
Hyperbolic approach to fuzzy modeling and control
Author :
Margaliot, Michael ; Langholz, Gideon
Author_Institution :
Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel
Abstract :
In this paper we consider a new approach to fuzzy modeling and control which is based on the formulation of a novel state-space representation consisting of hyperbolic functions. The new representation, designated the hyperbolic model, combines the advantages of fuzzy system theory and classical control theory. On the one hand, it is easily derived from a set of Mamdani-type fuzzy rules. On the other hand, it is possible to design fuzzy controllers for the model that guarantee closed-loop stability and robustness.
Keywords :
closed loop systems; control system synthesis; fuzzy control; modelling; robust control; state-space methods; Mamdani-type fuzzy rules; classical control theory; closed-loop stability; fuzzy controller design; fuzzy modeling; fuzzy system theory; hyperbolic functions; robustness; state-space representation; Control systems; Control theory; Cost function; Fuzzy control; Fuzzy sets; Fuzzy systems; Input variables; Optimal control; Robust control; Robust stability;
Conference_Titel :
Fuzzy Systems Conference Proceedings, 1999. FUZZ-IEEE '99. 1999 IEEE International
Conference_Location :
Seoul, South Korea
Print_ISBN :
0-7803-5406-0
DOI :
10.1109/FUZZY.1999.793068