Reference
I. Necoara, B. De Schutter,
W. P. M. H. Heemels, S. Weiland,
M. Lazar, and
T. J. J. van den
Boom, "Control of PWA systems using a stable receding horizon method,"
Proceedings of the 16th IFAC World Congress, Prague, Czech
Republic, pp. 123-128, July 2005.
Abstract
In this paper we derive stabilization conditions for the class of piecewise
affine (PWA) systems using the linear matrix inequality (LMI) framework. We
take into account the piecewise structure of the system and therefore the
matrix inequalities that we solve are less conservative. Using the upper bound
of the infinite-horizon quadratic cost as a terminal cost and constructing also
a convex terminal set we show that the receding horizon control stabilizes the
PWA system. We derive also an algorithm for enlarging the terminal set based on
a backward procedure; therefore, the prediction horizon can be chosen shorter,
removing some computations off-line.
Publisher page
Downloads
Extended version
- I. Necoara, B. De Schutter, W. P. M. H. Heemels, S. Weiland, M. Lazar, and T. J. J. van den Boom, "Control of PWA systems using a stable receding horizon method: Extended report," Tech. report 04-019a, Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands, 26 pp., Oct. 2004. A short version of this report has been published in the Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, July 2005. Paper 2794 / Tu-E21-TO/2. (abstract, bibtex, report (pdf))
BibTeX
@inproceedings{NecDeS:04-019,
author = {Necoara, Ion and De Schutter, Bart and Heemels, W. P. M. H. and
Weiland, Siep and Lazar, Mircea and van den Boom, Ton J. J.},
title = {Control of {PWA} Systems Using a Stable Receding Horizon
Method},
booktitle = {Proceedings of the 16th IFAC World Congress},
address = {Prague, Czech Republic},
pages = {123--128},
month = jul,
year = {2005}
}