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.