Fuzzy bilinear state feedback control design based on TS fuzzy bilinear model for DC–DC converters

This paper proposes a fuzzy bilinear state feedback controller based on Tagaki–Sugeno (TS) fuzzy bilinear model for DC–DC converters. The DC–DC converters can be approximated to bilinear model via Taylor series expansion. For achieving the output voltage regulation, we formulate the extended system of bilinear DC–DC converter model, one of whose state variables is the error between the output voltage and the reference output voltage. The extended system can be described to TS fuzzy bilinear model. We design a fuzzy bilinear state feedback controller to track the reference output voltage. The closed loop system is globally asymptotically stable via the proposed controller. Lyapunov theory is employed to guarantee the stability of the closed loop system. Numerical examples are given to demonstrate the validity of our proposed control approach with comparative results.

► A fuzzy bilinear state feedback controller consists of Tagaki–Sugeno fuzzy bilinear model for DC–DC converters.
► The extended system of bilinear DC–DC converter model is formulated with the output error.
► The extended system can be described to TS fuzzy bilinear model for DC–DC converters.
► The fuzzy bilinear state feedback controller tracks to the reference output voltage for DC–DC converters.
► The comparative results confirm the simulation results of the proposed control approach for DC–DC converters.