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Approximate Explicit MPC on Simplicial Partitions with Guaranteed Stability for Constrained Linear Systems

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)

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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.

Item Type: Book Section
Identification Number: 10.3182/20120823-5-NL-3013.00014
Additional Information: 4th IFAC Conference on Nonlinear Model Predictive Control 2012 (NMPC'12), Netherlands, August 23 - 27, 2012
Uncontrolled Keywords: Explicit Model Predictive Control; Stability and Recursive Feasibility; Dedicated Hardware Implementation of Model Predictive Control
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 20 Feb 2013 10:52
Last Modified: 20 Feb 2013 10:52
URI: http://eprints.imtlucca.it/id/eprint/1487

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