Rubagotti, MatteoBarcelli, DavideBemporad, Alberto2017-12-152017-12-152012-01-01Matteo Rubagotti, Davide Barcelli, Alberto Bemporad, Approximate Explicit MPC on Simplicial Partitions with Guaranteed Stability for Constrained Linear Systems, In IFAC Proceedings Volumes, Volume 45, Issue 17, 2012, Pages 119-125978390282307614746670https://www.sciencedirect.com/science/article/pii/S1474667016314379http://nur.nu.edu.kz/handle/123456789/2945Abstract 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.enArticleCopyright © 2012 IFAC. Published by Elsevier Ltd. All rights reserved.