Title :
Irredundant lattice piecewise affine representations and their applications in explicit model predictive control
Author :
Jun Xu ; van den Boom, Ton J. J. ; De Schutter, Bart
Author_Institution :
Dept. of Autom., China Univ. of Pet., Beijing, China
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.
Keywords :
linear systems; predictive control; PWA representation; continuous PWA function; explicit model predictive control; irredundant lattice piecewise affine representations; linear system; predictive controller model; Boolean algebra; Educational institutions; Indexes; Lattices; Optimization; Predictive models; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040078
