Design of an interval type-2 fuzzy immune controller

This study presents a novel Interval Type-2 Fuzzy Immune Control (IT2FIC) for linear and nonlinear discrete systems. The controller is designed by integration of the Interval Type-2 Fuzzy Logic Control (IT2FLC) and immune feedback control law. The type-2 fuzzy logic system is adopted to approximate the undetermined nonlinear function of the immune system. In order to reduce the computational loads of the type-reduction process, a new algorithm is proposed for type-reduction with a geometric analysis, which is utilized to derive a formula for computational geometry. Finally, the computer simulation results demonstrate that the proposed IT2FIC can obtain the best tracking performance among the Type-1 Fuzzy Logic Control (T1FLC), the IT2FIC and the Type-1 Fuzzy Immune Control (T1FIC).