Deadbeat-like approximations for sequencing non-rigid heaps
David Grimsman, Sean C. Warnick · 2016
This paper demonstrates how the property of deadbeat controllers that drives discrete-time systems to their equilibria in a finite number of steps can be effectively used to develop systematic approximations of a certain class of heap systems, modeled here as input-quantized systems defined over the max-plus algebra. These systems are used to describe a class of flexible batch manufacturing processes that are important in applications such as chemical processing. The result here introduces a new, asymmetric approximation in the context of previous work [13] where a symmetric approximation was developed and analyzed.