Invariant sets techniques for buck DC-DC converter control

This paper presents a simple and effective method for feedback law synthesis using invariant sets techniques. Given a time-varying Buck DC-DC converter affected by perturbations and constraints, the proposed method gives the best feedback gain in terms of finding the maximal invariant ellipsoidal set. This approach assures a good robustness but may lead to slow closed-loop performances and therefore a compromise will be made by imposing the placement of the closed-loop poles in a certain region. In order to reduce the invariant set conservativeness for the designed feedback gain, a new maximal invariant set is searched using truncated-ellipsoids.