Reference
J. Xu,
T. J. J. van den Boom, and
B. De Schutter, "Irredundant lattice piecewise affine representations and their
applications in explicit model predictive control,"
Proceedings of the 53rd IEEE Conference on Decision and
Control, Los Angeles, California, pp. 4416-4421, Dec. 2014.
Abstract
In this paper, we derive the irredundant lattice piecewise affine (PWA)
representation, which is capable of representing any continuous PWA function.
Necessary and sufficient conditions for irredundancy are proposed. Besides, we
discuss how to remove redundant terms and literals and propose corresponding
necessary and sufficient conditions. In a worked example, the irredundant
lattice PWA representation is used to express the explicit model predictive
controller of a linear system, and the result turns out to be much more compact
than that given by the state-of-the-art algorithm.
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BibTeX
@inproceedings{Xuvan:14-026,
author = {Xu, Jun and van den Boom, Ton J. J. and De Schutter, Bart},
title = {Irredundant Lattice Piecewise Affine Representations and Their
Applications in Explicit Model Predictive Control},
booktitle = {Proceedings of the 53rd IEEE Conference on Decision and
Control},
address = {Los Angeles, California},
pages = {4416--4421},
month = dec,
year = {2014}
}