relation: http://eprints.imtlucca.it/581/
title: An algorithm for multi-parametric quadratic programming and explicit MPC solutions
creator: Tondel, Petter
creator: Johansen, Tor Arne
creator: Bemporad, Alberto
subject: QA Mathematics
subject: TJ Mechanical engineering and machinery
description: Explicit solutions to constrained linear model-predictive control (MPC) 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 linear 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 in efficiency
publisher: IEEE
date: 2001
type: Book Section
type: PeerReviewed
identifier:   Tondel, Petter and Johansen, Tor Arne and Bemporad, Alberto  An algorithm for multi-parametric quadratic programming and explicit MPC solutions.   In:  Decision and Control Conference.   IEEE, Orlando, Florida USA, December 2001, pp. 1199-1204.  ISBN 0-7803-7061-9       (2001)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=981048&isnumber=21128
relation: 10.1109/.2001.981048