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Observable Feedback Control of discrete processes under time constraint: Application to Cluster Tools

Abstract : Practical control of timed behaviors in industrial applications is difficult. One of the few efficient modeling approaches to deal with time constraints on discrete-event systems (DES) is to use Timed Event Graph (TEG), a sub-class of Petri Nets. The dynamic behavior of these graphs is represented by a linear equations system over the Max-Plus algebra. Up to date, these models were assumed to be fully observable. In this paper, we demonstrate that if a TEG is strongly connected, one can derive a valid and observable control. In other words, the control law depends solely on the control itself and the system's output, considered to be the only observable events. We address the satisfaction of a set of constraints in the case of a single input model (i.e., having only one input transition) and we provide the procedure to derive an observable control law under feedback form. Finally, we apply our control method to a dual-armed cluster tool, a well-known industrial practical application.
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https://hal.archives-ouvertes.fr/hal-01274963
Contributor : Romain Jacob Connect in order to contact the contributor
Submitted on : Tuesday, February 16, 2016 - 3:00:48 PM
Last modification on : Saturday, June 25, 2022 - 10:19:35 PM
Long-term archiving on: : Tuesday, May 17, 2016 - 10:13:07 AM

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  • HAL Id : hal-01274963, version 1

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Romain Jacob, Saïd Amari. Observable Feedback Control of discrete processes under time constraint: Application to Cluster Tools. 2015. ⟨hal-01274963⟩

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