TY  - JOUR
IS  - 12
PB  - IEEE 
JF  - IEEE Transactions on Automatic Control
N2  - We study model predictive control (MPC) schemes for discrete-time linear time-invariant systems with constraints on inputs and states, that can be formulated using a linear program (LP). In particular, we focus our attention on performance criteria based on a mixed 1 -norm, namely, 1-norm with respect to time and -norm with respect to space. First we provide a method to compute the terminal weight so that closed-loop stability is achieved. We then show that the optimal control profile is a piecewise affine and continuous function of the initial state and briefly describe the algorithm to compute it. The piecewise affine
form allows to eliminate online LP, as the computation associated with MPC becomes a simple function evaluation. Besides practical advantages, the availability of the explicit structure of the MPC controller provides an insight into the type of control action in different
regions of the state space, and highlights possible conditions of degeneracies of the LP, such as multiple optima.
EP  - 1985
ID  - eprints474
SN  - 0018-9286
KW  - Constraints; linear programming (LP); model
predictive control (MPC); multiparametric programming; piecewise linear control
VL  - 47
Y1  - 2002/12//
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1137550&isnumber=25388
A1  - Bemporad, Alberto
A1  - Borrelli, Francesco
A1  - Morari, Manfred
SP  - 1974
TI  - Model Predictive Control Based on Linear Programming - The Explicit Solution
AV  - none
ER  -