Practical implementation for stable adaptive interval A2-C0 type-2 TSK fuzzy controller

This paper presents a systematic method to design an adaptive interval type-2 Takagi-Sugeno-Kang fuzzy logic controller (AIT2 TSK FLC) that is like a PI-type fuzzy controller to satisfy certain desired performance. The proposed AIT2 TSK FLC consists of two parts: the IT2 TSK FLC and the adaptation mechanism. The antecedents and consequents for the TSK FLC are IT2FSs and crisp numbers, respectively, which are named as A2-C0. In this paper, the gradient method can be used to adapt both the antecedent and consequent parameters for the TSK FLC to minimize some criterion function. The stability of the proposed AIT2 A2-C0 TSK FLC is derived using the Lyapunov theorem. The proposed AIT2 A2-C0 TSK FLC is designed and realized using a microcontroller for controlling the shunt wound DC machine. The results show that the ability of the proposed AIT2 A2-C0 TSK FLC to improve the system performance in terms of the set-point tracking, the external disturbances, and the parameter uncertainties.