Hyperbolic approach to fuzzy modeling and control

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.