On the Practical Stability of Hybrid Control Algorithm With Minimum Dwell Time for a DC–AC Converter

This brief presents a control law based on a hybrid dynamical systems theory for a dc-ac converter. This theory is very suited for an analysis of power electronic converters, since it combines continuous (voltages and currents) and discrete (ON-OFF state of switches) signals avoiding, in this way, the use of averaged models. Here, practical stability results are induced for this tracking problem, ensuring a minimum dwell time associated with an Linear-Quadratic Regulator (LQR) performance level during the transient response and an admissible chattering around the operating point. The effectiveness of the resultant control law is validated by means of experiments.