TY  - CONF
PB  - Katholieke Universiteit Leuven, Belgium
T2  - 16th Symposium on Mathematical Theory of Networks and Systems
A1  - Lazar, Mircea
A1  - Heemels, W.P.M.H.
A1  - Weiland, Siep
A1  - Bemporad, Alberto
CY  - July 5-9, 2004
Y1  - 2004/07//
TI  - Stabilizing receding horizon control of piecewise linear systems: An LMI approach
M2  - Leuven, Belgium
ID  - eprints562
AV  - none
N2  - Receding horizon control has recently been used for regulating discrete-time Piecewise Affine (PWA) systems. One of the obstructions for implementation consists in guaranteeing closed-loop stability a priori. This is an issue that has only been addressed marginally in the literature. In this paper we present an extension of the terminal cost method for guaranteeing stability in receding horizon control to the class of unconstrained Piecewise Linear (PWL) systems. A linear matrix inequalities set-up is developed to calculate the terminal weight matrix and the auxiliary feedback gains that ensure stability for quadratic cost based receding horizon control. It is shown that the PWL statefeedback control law employed in the stability proof globally asymptotically stabilizes the origin of the PWL system. The additional conditions needed to extend these results to constrained PWA systems are also pointed out. The implementation of the proposed method is illustrated by an example.
UR  - http://eprints.imtlucca.it/562/
ER  -