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

The purpose of this thesis was to investigate the problem of regulating the output voltage of a battery driven boost converter where the load may change within a certain range. The battery was modeled by a second order circuit with two pairs of resistors and capacitors; the parameters of the battery were estimated by a newly developed state-space approach. The open-loop system for regulating the output voltage was described as a sixth order differential equation with a bilinear term and input constraints by using the state-space averaging method. A simple saturated state feedback system was designed by solving some optimization problem with linear matrix inequality constraints. The optimized controller was very close to an integrator feedback. Using the newly developed Lyapunov method, one may analyze the stability of the closed-loop bilinear system including the battery dynamics. Computation in MATLAB demonstrated that both the optimized state feedback and the integrator feedback can achieve practically global regulation in the presence of variable load and variable battery voltage. The results were validated by experimental systems.