Stability and robust regulation of battery driven boost converter with simple feedback

This paper investigates the problem of regulating the output voltage of a battery driven boost converter where the load is uncertain or changes within a certain range. By using the state-space averaging method, the open-loop system for regulating the output voltage is described as a 6th order differential equation with a bilinear term and input constraints. A simple saturated state feedback is designed by solving some optimization problem with linear matrix inequality constraints. The optimized controller is very close to an integrator feedback. Using the newly developed Lyapunov method, we analyze the stability and regulation of the closed-loop bilinear system. Computation shows that both the optimized state feedback and the integrator feedback can achieve practically global regulation in the presence of uncertain load and uncertain battery voltage. The results are validated by experimental systems.