Analysis of Simplified Interval Type‐2 Fuzzy PI and PD Controllers
Jerry M. Mendel, Hani Hagras, Woei‐Wan Tan, William Melek, Hao Ying · 2014
This chapter focuses on the design, properties demonstration via simulations/experiments, and theoretical analysis of interval type-2 (IT2) fuzzy proportional plus integral (PI) or proportional plus derivative (PD) controllers. It presents the simplified IT2 fuzzy logic controllers (FLC). The chapter designs two type-1 FLCs and two type-2 FLCs with different degrees of Freedom, and their abilities to handle modeling uncertainties are compared using a coupled-tank liquid-level control system. It presents the methodology for deriving the analytical structure for a case of IT2 PI/PD FLCs, with the configuration. The algorithm delineated leverages on a property of the Karnik–Mendel (KM) type reducer that constrains the switch points to the location of the consequent sets to extend the analytical structure technique for T1 FLCs. The chapter also presents five examples that illustrate how the analytical structure framework may be applied.