Stabilization of positive constrained T-S fuzzy systems: Application to a Buck converter

This paper deals with the problem of constrained stability and tracking of Takagi-Sugeno (T-S) fuzzy positive systems. Linear programming (LP) is used to insert the constraints in the design phase while imposing positivity in closed-loop. The theoretical results are applied to the buck DC-DC converter which is widely used in the photovoltaic generators. Based on the simulation results success of the method is shown for this application.