@incollection{eprints742, year = {2011}, booktitle = {Proceedings of the 18th IFAC World Congress, 2011}, volume = {18}, author = {Tomaso Poggi and Sergio Trimboli and Alberto Bemporad and Marco Storace}, title = {Explicit hybrid model predictive control: discontinuous piecewise-affine approximation and FPGA implementation}, publisher = {IFAC}, pages = {1350--1355}, keywords = {Digital implementation; Control design for hybrid systems; Control of switched systems}, url = {http://eprints.imtlucca.it/742/}, abstract = {In this paper we introduce a digital architecture implementing the explicit solution of a switched model predictive control problem. Given a mixed-logic dynamical system, we derive an explicit controller in the form of a possibly discontinuous piecewise-affine function. This function is then approximated by resorting to piecewise-affine simplicial functions, which can be implemented on a circuit by extending the representation capabilities of a previously proposed architecture to evaluate the control action. The architecture has been implemented on FPGA and validated on a benchmark example related to an air conditioning system.} }