relation: http://eprints.imtlucca.it/1487/ title: Approximate Explicit MPC on Simplicial Partitions with Guaranteed Stability for Constrained Linear Systems creator: Rubagotti, Matteo creator: Barcelli, Davide creator: Bemporad, Alberto subject: QA75 Electronic computers. Computer science subject: TJ Mechanical engineering and machinery description: 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. publisher: IFAC date: 2012 type: Book Section type: PeerReviewed identifier: Rubagotti, Matteo and Barcelli, Davide and Bemporad, Alberto Approximate Explicit MPC on Simplicial Partitions with Guaranteed Stability for Constrained Linear Systems. In: 4th IFAC Nonlinear Model Predictive Control Conference. IFAC, pp. 119-125. ISBN 978-3-902823-07-6 (2012) relation: http://dx.doi.org/10.3182/20120823-5-NL-3013.00014 relation: 10.3182/20120823-5-NL-3013.00014