relation: http://eprints.imtlucca.it/472/
title: Min-max control of constrained uncertain discrete-time linear systems
creator: Bemporad, Alberto
creator: Borrelli, Francesco
creator: Morari, Manfred
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: For discrete-time uncertain linear systems with constraints on inputs and states, we develop an approach to determine state feedback controllers based on a min-max control formulation. Robustness is achieved against additive norm-bounded input disturbances and/or polyhedral parametric uncertainties in the state-space matrices. We show that the finite-horizon robust optimal control law is a continuous piecewise affine function of the state vector and can be calculated by solving a sequence of multiparametric linear programs. When the optimal control law is implemented in a receding horizon scheme, only a piecewise affine function needs to be evaluated on line at each time step. The technique computes the robust optimal feedback controller for a rather general class of systems with modest computational effort without needing to resort to gridding of the state-space.
publisher: IEEE
date: 2003-09
type: Article
type: PeerReviewed
identifier:   Bemporad, Alberto and Borrelli, Francesco and Morari, Manfred  Min-max control of constrained uncertain discrete-time linear systems.  IEEE Transactions on Automatic Control , 48 (9).  pp. 1600-1606.  ISSN 0018-9286      (2003)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1231253&isnumber=27582
relation: 10.1109/TAC.2003.816984