@incollection{eprints1487, year = {2012}, title = {Approximate Explicit MPC on Simplicial Partitions with Guaranteed Stability for Constrained Linear Systems}, pages = {119--125}, volume = {4}, booktitle = {4th IFAC Nonlinear Model Predictive Control Conference}, author = {Matteo Rubagotti and Davide Barcelli and Alberto Bemporad}, note = {4th IFAC Conference on Nonlinear Model Predictive Control 2012 (NMPC'12), Netherlands, August 23 - 27, 2012}, publisher = {IFAC}, url = {http://eprints.imtlucca.it/1487/}, abstract = {This paper proposes an approximate explicit model predictive control design approach for regulating linear time-invariant systems subject to both state and control constraints. The proposed control law is implemented as a piecewise-affine function defined on a regular simplicial partition, and has two main positive features. First, the regularity of the simplicial partition allows a very efficient implementation of the control law on digital circuits, with computation performed in tens of nanoseconds. Second, the asymptotic stability of the closed-loop system is enforced a priori by design.}, keywords = {Explicit Model Predictive Control; Stability and Recursive Feasibility; Dedicated Hardware Implementation of Model Predictive Control} }