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: 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
In this paper we derive stabilization conditions for the class of PWA systems
using the linear matrix inequality (LMI) framework. We consider the class of
piecewise affine feedback controllers and the class of piecewise quadratic
Lyapunov functions that guarantee stability of the closed-loop system. We take
into account the piecewise structure of the system and therefore the matrix
inequalities that we solve are less conservative. We prove that the
infinite-horizon quadratic cost is bounded if certain LMIs are satisfied. 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.
Downloads
Original paper
- 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. (online paper, abstract, bibtex, tech. report (pdf))
BibTeX
@techreport{NecDeS:04-019a,
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: {E}xtended Report},
number = {04-019a},
institution = {Delft Center for Systems and Control, Delft University of
Technology},
address = {Delft, The Netherlands},
month = oct,
year = {2004},
note = {A short version of this report has been published in the
\emph{Proceedings of the 16th IFAC World Congress}, Prague,
Czech Republic, July 2005. Paper 2794\,/\,Tu-E21-TO/2}
}