Analytical Structure of Various Interval Type‐2 Fuzzy PI and PD Controllers
Jerry M. Mendel, Hani Hagras, Woei‐Wan Tan, William Melek, Hao Ying · 2014
This chapter stresses that the analytical structure of a fuzzy controller should be investigated in such a way that the structure is sensible in the context of control theory. It provides a brief review of the linear PID, PI, and PD controllers as most of the T2 fuzzy controllers. The chapter defines the common components of the T2 fuzzy controllers. It shows various techniques for deriving the explicit analytical structures of four different types of T2 Mamdani fuzzy controllers with two input variables and link the resulting structures to the PI and PD controllers. The chapter provides yet another derivation technique for a class of T2 TSK fuzzy controllers with two input variables and shows how the analytical structure obtained ties to the PI and PD controllers. It also establishes some design guidelines for the T2 Mamdani fuzzy controllers.