**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.

Online version of the paper

Corresponding technical report: pdf file (146 KB)

@inproceedings{NecDeS:04-019,

author={I. Necoara and B. {D}e Schutter and W.P.M.H. Heemels and S. Weiland and M. Lazar and T.J.J. van den Boom},

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},

doi={10.3182/20050703-6-CZ-1902.00881}

}

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