TY  - JOUR
EP  - 1436
AV  - none
SP  - 1425
A1  - Canale, Massimo
A1  - Cerone, Vito
A1  - Piga, Dario
A1  - Regruto, Diego
TI  - Approximation of model predictive control laws for polynomial systems
N2  - A fast implementation of a given predictive controller for polynomial systems is introduced by approximating the optimal control law with a piecewise constant function defined over a hyper-cube partition of the system state space. Such a state-space partition is computed in order to guarantee stability, an a priori fixed trajectory error as well as input and state constraints fulfilment. The presented approximation procedure is achieved by solving a set of nonconvex polynomial optimization problems, whose approximate solutions are computed by means of semidefinite relaxation techniques for semialgebraic problems.
IS  - 5
VL  - 16
JF  - Asian Journal of Control 
ID  - eprints2475
PB  - Wiley-Blackwell
UR  - http://dx.doi.org/10.1002/asjc.863
KW  - LMI relaxation
KW  -  polynomial optimization
KW  -  model predictive control
SN  - 1561-8625
Y1  - 2014/09//
ER  -