Maximum Power Point Tracking Control of Photovoltaic Systems: A Polynomial Fuzzy Model-Based Approach

This paper introduces a polynomial fuzzy model (PFM)-based maximum power point tracking (MPPT) control approach to increase the performance and efficiency of the solar photovoltaic (PV) electricity generation. The proposed method relies on a polynomial fuzzy modeling, a polynomial parallel distributed compensation, and a sum-of-squares (SOS) decomposition. The proposed method is a generalization of the standard Takagi-Sugeno fuzzy models and linear matrix inequality, which showed its effectiveness in decreasing the tracking time and increasing the efficiency of the PV systems. In this paper, a direct maximum power (DMP)-based control structure is considered for MPPT. Using the PFM representation, the DMP-based control structure is formulated in terms of SOS conditions. Unlike the conventional approaches, the proposed approach does not require exploring the maximum power operational point. Finally, the extensive studies and hardware-in-the-loop simulations are presented to show the effectiveness of the proposed method.