relation: http://eprints.imtlucca.it/435/
title: Multiobjective model predictive control based on convex piecewise affine costs
creator: Bemporad, Alberto
creator: Muñoz de la Peña, David
subject: QA Mathematics
subject: QA75 Electronic computers. Computer science
description: This paper proposes a novel model predictive control (MPC) scheme based on multiobjective optimization. At each sampling time, the MPC control action is chosen among the set of Pareto optimal solutions based on a time-varying and state-dependent decision criterion. After recasting the optimization problem associated with the multiobjective MPC controller as a multiparametric multiobjective linear problem, we show that it is possible to compute each Pareto optimal solution as an explicit piecewise affine function of the state vector and of the vector of weights to be assigned to the different objectives in order to get that particular Pareto optimal solution. Furthermore, we provide conditions for selecting Pareto optimal solutions so that the MPC control loop is asymptotically stable, and show the effectiveness of the approach in simulation examples.
date: 2009
type: Conference or Workshop Item
type: PeerReviewed
identifier:   Bemporad, Alberto and Muñoz de la Peña, David  Multiobjective model predictive control based on convex piecewise affine costs.  In: European Control Conference, Budapest, Hungary, 23th -26th August 2009 pp. 2402-2407.        (2009)  
relation: https://controls.papercept.net/conferences/scripts/abstract.pl?ConfID=5&Number=733