Constrained stabilization of a two-input buck-boost DC/DC converter using a set-theoretic method

This paper considers the problem of constrained stabilization of a two-input buck-boost DC/DC converter by linear state-feedback. It is demonstrated that, via an appropriate change of coordinates, a recent synthesis technique for constrained bilinear discrete-time systems can be applied to an averaged nonlinear model of the converter. Moreover, it is proven that the synthesis method yields a polyhedral constrained control invariant set for the converter model in the original coordinate system. The synthesis algorithm requires solving a single linear program off-line. An extensive simulation case study along with a preliminary, successful real-time experiment, demonstrate the effectiveness of the proposed methodology.