eprintid: 1487 rev_number: 7 eprint_status: archive userid: 6 dir: disk0/00/00/14/87 datestamp: 2013-02-20 10:52:50 lastmod: 2013-02-20 10:52:50 status_changed: 2013-02-20 10:52:50 type: book_section metadata_visibility: show creators_name: Rubagotti, Matteo creators_name: Barcelli, Davide creators_name: Bemporad, Alberto creators_id: creators_id: creators_id: alberto.bemporad@imtlucca.it title: Approximate Explicit MPC on Simplicial Partitions with Guaranteed Stability for Constrained Linear Systems ispublished: pub subjects: QA75 subjects: TJ divisions: CSA full_text_status: none keywords: Explicit Model Predictive Control; Stability and Recursive Feasibility; Dedicated Hardware Implementation of Model Predictive Control note: 4th IFAC Conference on Nonlinear Model Predictive Control 2012 (NMPC'12), Netherlands, August 23 - 27, 2012 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. date: 2012 date_type: published volume: 4 publisher: IFAC pagerange: 119-125 id_number: 10.3182/20120823-5-NL-3013.00014 refereed: TRUE isbn: 978-3-902823-07-6 issn: 1474-6670 book_title: 4th IFAC Nonlinear Model Predictive Control Conference official_url: http://dx.doi.org/10.3182/20120823-5-NL-3013.00014 citation: 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)