Reference:
T. van den Boom and
B. De Schutter,
"A stabilizing model predictive controller for uncertain
max-plus-linear systems and uncertain switching max-plus-linear
systems," Proceedings of the 18th IFAC World Congress, Milan,
Italy, pp. 8663-8668, Aug.-Sept. 2011.
Abstract:
We first discuss conditions for stability for uncertain
max-plus-linear systems and for uncertain switching max-plus-linear
systems, where in the uncertainty description the system matrices live
in a union of polyhedra. Based on the newly derived stability
conditions, a stabilizing model predictive controller is derived for
both uncertain max-plus-linear systems and uncertain switching
max-plus-linear systems.
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