Linearizing control of a photovoltaic structure and stability by Lyapunov directly on bond graph

The photovoltaic powered water pumping system investigated in this paper consists mainly of a photovoltaic generator, a boost converter, a three phase inverter, and an induction motor-pump. Then, we present a method which resolved directly on the bond graph the problem of input/output linearization of the nonlinear system while basing itself on input/output causal inversion of its BG model. Analysis of stability by Lyapunov directly on BG model of the structure is presented. Results of simulation are given for various variables of the structure.