Design of Maximum Power Fuzzy Controller for PV Systems Based on the LMI-Based Stability

Abstract

This paper deals with a design methodology for stabilization of a class of nonlinear Photovoltaic (PV) systems. First, a nonlinear PV plant with a Takagi-Sugeno (TS) fuzzy model is presented. Then a model based fuzzy controller design utilizing the concept of the Parallel Distributed Compensation (PDC) is employed. The proposed algorithm depends on the fuzzy reference model. The fuzzy control system consists of observer and fuzzy control components. The state observer does not require the system states to be available for measurement. Sufficient conditions are derived for stabilization and are formulated in Linear Matrix Inequalities (LMIs). An application to PV system is given in this paper to illustrate the effectiveness of the proposed TS fuzzy controller and observer design methodology. The simulation results demonstrate that the proposed fuzzy control system can guarantee the system stability and also maintain a good tracking performance.