ABSTRACT
This chapter develops the stability analysis and control synthesis for stand-alone solar power nonlinear systems via the T-S fuzzy-model-based approach. It represents the nonlinear photovoltaic (PV) powers with DC-AC load in the T-S fuzzy model. The chapter reformulates the maximum power point tracking (MPPT) problem of the considered PV system into the framework of descriptor systems. It proposes a robust fuzzy observer for state feedback control under partial state measurement. The chapter considers the finite-time stabilization via the sliding mode control in the framework of descriptor systems. It provides two numerical examples to show the effectiveness of the proposed method. The chapter aims at designing a fuzzy sliding mode controller such that the MPPT error will be bounded around zero in a finite time interval subject. It provides detailed calculating steps of the proposed MPPT algorithm for the PV system.
