TY  - JOUR
PB  - IEEE 
TI  - Ultra-fast stabilizing model predictive control via canonical piecewise affine approximations
IS  - 12
EP  - 2897 
SN  - 0018-9286
N2  - This paper investigates the use of canonical piecewise affine (PWA) functions for approximation and fast implementation of linear MPC controllers. The control law is approximated in an optimal way over a regular simplicial partition of a given set of states of interest. The stability properties of the resulting closed-loop system are analyzed by constructing a suitable PWA Lyapunov function. The main advantage of the proposed approach to the implementation of MPC controllers is that the resulting stabilizing approximate MPC controller can be implemented on chip with sampling times in the order of tens of nanoseconds.
JF  - IEEE Transactions on Automatic Control 
SP  - 2883
A1  - Bemporad, Alberto
A1  - Oliveri, Alberto
A1  - Poggi, Tomaso
A1  - Storace, Marco
VL  - 56
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5746505&isnumber=4601496
AV  - none
Y1  - 2011/12//
ID  - eprints730
KW  - Aerospace electronics; Function approximation; Optimal control; Silicon; Softening; Vectors 
ER  -