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<p>This paper presents a formal approach to solving the strict time constraint problem in discrete event systems with disturbance inputs. This class of systems is represented by partially controllable timed event graphs, and some paths are subject to upper time bounds imposed on tokens during their traversal of these paths. An analytical method for designing control laws to guarantee compliance with constraints is proposed, based on Min-Plus algebra formalisms. More specifically, state feedback is calculated by manipulating the TEG Min-Plus matrix equation, which translates into control places for supervising the time-critical system. This control strategy is illustrated in a supply chain with two disturbance inputs and time-critical tasks.</p>

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Modeling and control of time-constrained partially controllable discrete event systems: an application for a supply chain with the presence of disturbances

  • 期刊论文

  • 发表日期：

    2025年5月17日

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  • I. Amama,
  • S. Bouazza,
  • S. Amari,
  • H. Hassine,
  • R. Chaari,
  • M. Haddar

摘要

This paper presents a formal approach to solving the strict time constraint problem in discrete event systems with disturbance inputs. This class of systems is represented by partially controllable timed event graphs, and some paths are subject to upper time bounds imposed on tokens during their traversal of these paths. An analytical method for designing control laws to guarantee compliance with constraints is proposed, based on Min-Plus algebra formalisms. More specifically, state feedback is calculated by manipulating the TEG Min-Plus matrix equation, which translates into control places for supervising the time-critical system. This control strategy is illustrated in a supply chain with two disturbance inputs and time-critical tasks.