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.
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.