Optimization and control for a photovoltaic pumping system

This paper deals with the optimization and control of DC motor based on photovoltaic pumping system. We will use in this work the tools of nonlinear control to increase the yield of a photovoltaic panel and therefore the amount of water pumped. Maximum point tracking algorithm using Perturb and Observe method with array voltage and current is used to generate the voltage reference which should be the PV panel's operating voltage to get maximum power available. The system is represented into a Takagi-Sugeno (T-S) fuzzy model. Then, the concept of Parallel Distributed Compensation (PDC) is applied to design the control law. Control gains are then obtained by solving a constraints set of linear matrix inequalities (LMI).