Optimal nonlinear robust control of a boost converter

This paper deals with the control problem of a dc-dc boost converter whose operation takes place in an uncertain environment. The proposed nonlinear controller achieves the desired performance in a number of different situations. Uncertainties, unknown but bounded, are considered to be present in the load as well as in the input voltage. Effective control results as long as certain matching assumptions for the uncertainty are satisfied. If these assumptions are violated, a measure of mismatch is established that corresponds to residual uncertainty. An optimization problem is formulated that yields a threshold of the measure of mismatch which guarantees that maximum unmatched uncertainty can be tolerated.