%0 Book Section
%A Poggi, Tomaso
%A Trimboli, Sergio
%A Bemporad, Alberto
%A Storace, Marco
%B Proceedings of the 18th IFAC World Congress, 2011
%D 2011
%F eprints:742
%I IFAC
%K Digital implementation; Control design for hybrid systems; Control of switched systems
%P 1350-1355
%T Explicit hybrid model predictive control: discontinuous piecewise-affine approximation and FPGA implementation
%U http://eprints.imtlucca.it/742/
%V 18
%X 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.