Robustly Stabilizing MPC for Perturbed PWL Systems
Reference
I. Necoara,
B. De Schutter,
T.J.J. van den Boom, and
J. Hellendoorn,
"Robustly Stabilizing MPC for Perturbed PWL Systems," Proceedings of the 44th IEEE Conference on Decision and
Control, and the European Control Conference 2005 (CDC-ECC'05),
Seville, Spain, pp. 3759-3764, Dec. 2005.
Abstract
This paper deals with robustly stable model predictive control (MPC)
of the class of piecewise linear systems. A piecewise linear feedback
controller, that stabilizes the nominal system, is derived from linear
matrix inequalities. Further, an algorithm is designed for
constructing a polyhedral robustly positively invariant set for the
system. First, a min-max feedback MPC scheme with known mode, based on
a dual-mode approach that stabilizes the system, is presented. The
second robustly stable MPC scheme is based on a semi-feedback
controller, but this time the mode of the system is unknown.
Downloads
- Corresponding technical report:
pdf
file
(314 KB)
Extended version
- I. Necoara, B. De Schutter, T.J.J. van den Boom, and J. Hellendoorn, "Robustly
Stabilizing MPC for Perturbed PWL Systems: Extended Report," Tech. report
05-004a, Delft Center for Systems and Control, Delft University of Technology,
Delft, The Netherlands, 6 pp., Feb. 2005. A short version of this paper has
been published in the Proceedings of the 44th IEEE Conference
on Decision and Control, and the European Control Conference 2005
(CDC-ECC'05), Seville, Spain, pp. 3759-3764, Dec. 2005. (abstract, bibtex,
report
(pdf))
Bibtex entry
@inproceedings{NecDeS:05-004,
author={I. Necoara and B. {D}e Schutter and T.J.J. van den Boom and J.
Hellendoorn},
title={Robustly Stabilizing {MPC} for Perturbed {PWL} Systems},
booktitle={Proceedings of the 44th IEEE Conference on Decision and Control, and
the European Control Conference 2005 (CDC-ECC'05)},
address={Seville, Spain},
pages={3759--3764},
month=dec,
year={2005}
}
This page is maintained by Bart De Schutter.
Last update: February 21, 2026.