%0 Journal Article
%@ 0098-1354
%A Pistikopoulos, Efstratios N.
%A Dua, Vivek
%A Bozinis, Nikolaos A.
%A Bemporad, Alberto
%A Morari, Manfred
%D 2002
%F eprints:486
%I Elsevier 
%J Computers and Chemical Engineering
%K Real-time optimization; Model predictive control; Multi-parametric quadratic programming
%N 2
%P 175-185
%T On-line optimization via off-line parametric optimization tools
%U http://eprints.imtlucca.it/486/
%V 26
%X In this paper, model predictive control (MPC) based previous termoptimizationnext term problems with a quadratic performance criterion and linear constraints are formulated as multi-previous termparametricnext term quadratic programs (mp-QP), where the input and state variables, corresponding to a plant model, are treated as previous termoptimizationnext term variables and parameters, respectively. The solution of such problems is given by (i) a complete set of profiles of all the optimal inputs to the plant as a function of state variables, and (ii) the regions in the space of state variables where these functions remain optimal. It is shown that these profiles are linear and the corresponding regions are described by linear inequalities. An algorithm for obtaining these profiles and corresponding regions of optimality is also presented. The key feature of the proposed approach is that the on-previous termline optimizationnext term problem is solved previous termoff-line via parametricnext term programming techniques. Hence (i) no previous termoptimizationnext term solver is called on-previous termline,next term and (ii) only simple function evaluations are required, to obtain the optimal inputs to the plant for the current state of the plant.