The concept of large signal controllability for switched electrical networks is reviewed for dc-dc converters. Small signal models and controllers are limited by assumptions of fixed operating point. Hybrid system representations allow use of geometric control methods including sliding mode and boundary based switching controls.The comparison of geometric control response with small signal response shows a fundamental difference: only geometric methods are capable of deadbeat (finite time duration) recovery to steady-state after a transient disturbance. However, these deadbeat geometric laws are only known for second order systems. The possibility of deadbeat control for higher order dc-dc converter systems is examined.
Keywords-dc-dc converter, geometric control, state-plane analysis, switched sytem, hybrid system, null audio susceptibility, deadbeat response, small signal model, large signal model.I. 0-7803-9033