Interval Type-2 Petri CMAC Design for 4D Chaotic System

This paper presents an interval type-2 Petri cerebellar model articulation controller (CMAC) design for 4D chaotic system. The proposed control system contains a main controller and a fuzzy compensation controller. The main controller is an interval type-2 Petri CMAC (IT2PCMAC) which is used to emulate an ideal controller, and the fuzzy compensation is designed to cope with the residual error. The parameter adaptive laws are derived using the gradient descent method. Applying the Lyapunov function, the system stability is guaranteed. Finally, numerical experimental results are conducted to illustrate the effectiveness of the proposed control method.