Applications of hyper-fuzzy modeling and control for bio-inspired systems

A comparative study between type-1 and type-2 fuzzy sets, introducing the main differences in membership functions and operations done on these fuzzy sets, is introduced in this paper. The idea of fuzzy sets and both membership functions of type-1 and type-2 are illustrated along with the idea of foot print of uncertainty (FOU). A new fuzzy controller is proposed which is based on type-1 fuzzy controller, with both double number of membership functions and rules. Application of the proposed hyper-fuzzy controller on a simple plant which could be a resonator in a bio-inspired system, a spring-mass system or even a DC machine is introduced and better response of the new proposed controller is shown.