Weihe, K.K.WeiheCateriano Yanez, C.C.Cateriano YanezPangalos, G.G.PangalosLichtenberg, G.G.Lichtenberg2022-03-062022-03-062020https://publica.fraunhofer.de/handle/publica/26939010.1016/j.ifacol.2020.12.404For signal shaping problems, in contrast to reference following problems, a possibility is to make use of the signal's shape as a control objective, described by a difference equation. In order to do this, a shape class is defined, giving a measure of how close to a specific shape a signal is. The shape class defines the weighting matrices of the standard quadratic cost function of a model predictive controller. The optimization problem is solved with constraints using a standard quadratic program solver. An application example shows the suitability of the approach for active power filters.en621journal article