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Control of a class of discrete event systems with disturbances and capacity constraints: Application to a disassembly problem |
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| Authors: | Bouazza Syrine Amari Said Hassine Hichem |
| Affiliation: | 1. LURPA, ENS Paris-Saclay, Gif-sur-Yvette, France;2. LURPA, ENS Paris-Saclay, Gif-sur-Yvette, France Université de Sorbonne Paris Nord, France Contribution: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing - original draft, Writing - review & editing;3. LA2MP, Ecole National d'Ingénieur de Sfax, Sfax, Tunisia Contribution: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing - original draft, Writing - review & editing |
| Abstract: | This study proposes an analytical control method for the meeting of capacity constraints in discrete event systems with disturbances. More precisely, it consists of computing control laws for partially controllable and observable timed event graphs that are subject to marking constraints. To resolve the issue, linear Min-Plus models are used to describe the behavior of these graphs, and the constraints are expressed by inequalities in Min-Plus algebra. Sufficient conditions for the existence of causal control laws to guarantee marking specifications are established. Finally, to illustrate the efficiency of the proposed approaches in this paper, an application for a disassembly process with some disturbance inputs and limited component capacities is carried out. |
| Keywords: | control laws discrete event systems marking constraints Min-Plus algebra timed event graphs with disturbances |