relation: http://eprints.imtlucca.it/569/
title: The explicit solution of model predictive control via multiparametric quadratic programming 
creator: Bemporad, Alberto
creator: Morari, Manfred
creator: Dua, Vivek
creator: Pistikopoulos, Efstratios N.
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: The control based on online optimization, popularly known as model predictive control (MPC), has long been recognized as the winning alternative for constrained systems. The main limitation of MPC is, however, its online computational complexity. For discrete-time linear time-invariant systems with constraints on inputs and states, we develop an algorithm to determine explicitly the state feedback control law associated with MPC, and show that it is piecewise linear and continuous. The controller inherits all the stability and performance properties of MPC, but the online computation is reduced to a simple linear function evaluation instead of the expensive quadratic program. The new technique is expected to enlarge the scope of applicability of MPC to small-size/fast-sampling applications which cannot be covered satisfactorily with anti-windup schemes
publisher: IEEE
date: 2000
type: Book Section
type: PeerReviewed
identifier:   Bemporad, Alberto and Morari, Manfred and Dua, Vivek and Pistikopoulos, Efstratios N.  The explicit solution of model predictive control via multiparametric quadratic programming.   In:  American Control Conference.   IEEE, Chicago, Illinois June 2000, pp. 872-876.  ISBN 0-7803-5519-9       (2000)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=876624&isnumber=18973
relation: 10.1109/ACC.2000.876624