relation: http://eprints.imtlucca.it/459/
title: An algorithm for multi-parametric quadratic programming and explicit MPC solutions
creator: Tondel, Petter
creator: Johansen, Tor Arne
creator: Bemporad, Alberto
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: Explicit solutions to constrained linear model predictive control problems can be obtained by solving multi-parametric quadratic programs (mp-QP) where the parameters are the components of the state vector. We study the properties of the polyhedral partition of the state space induced by the multi-parametric piecewise affine solution and propose a new mp-QP solver. Compared to existing algorithms, our approach adopts a different exploration strategy for subdividing the parameter space, avoiding unnecessary partitioning and QP problem solving, with a significant improvement of efficiency.
publisher: Elsevier
date: 2003
type: Article
type: PeerReviewed
identifier:   Tondel, Petter and Johansen, Tor Arne and Bemporad, Alberto  An algorithm for multi-parametric quadratic programming and explicit MPC solutions.  Automatica, 39 (3).  pp. 489-497.  ISSN 005-1098      (2003)  
relation: http://www.sciencedirect.com/science/article/pii/S0005109802002509
relation: 10.1016/S0005-1098(02)00250-9