Reference:
I. Necoara,
B. De Schutter, and
T.J.J. van den Boom,
"Model predictive control for perturbed piecewise affine systems,"
Proceedings of the 5th EUROMECH Nonlinear Dynamics Conference
(ENOC-2005), Eindhoven, The Netherlands, pp. 231-240, Aug. 2005.
Abstract:
We give an overview of our recent results on model predictive control
(MPC) for a class of non-smooth hybrid systems subject to
perturbations. More specifically, we consider continuous and
non-continuous piecewise-affine (PWA) systems. Most results on MPC for
PWA systems involve non-perturbed systems. In this paper we consider
perturbed PWA systems with bounded disturbances, i.e., PWA systems
whose system equations contain a disturbance term with a bounded
support. We show that for both continuous and non-continuous PWA
systems an MPC approach consisting of an off-line step and an
(efficient) on-line step can be developed.