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Buck DC-DC converter control using invariant sets techniques

This paper presents an invariant sets technique for feedback law synthesis, in order to control a Buck DC-DC converter. For the linear discrete-time system affected by perturbations and constraints, the proposed method gives the best feedback gain in terms of finding the maximal invariant ellipsoid. As a result of this technique, the maximal ellipsoid is derived but with degraded closed loop performances. In order to assure satisfactory transients the concept of pole placement in LMI regions is introduced. This approach is finally validated in simulation considering the aforementioned converter.