A new control methodology for timed event graphs with disturbances under two different constraints

This paper introduces a formal approach to managing Timed Event Graphs (TEGs) subject to disturbances while ensuring compliance with strict timing and marking constraints. Linear Min-Plus equations are used to model system behavior, and Min-Plus inequalities represent the mixed constraints to be satisfied. A mathematical framework is developed using these algebraic tools to derive causal control laws that guarantee adherence to the specified requirements. The effectiveness of the proposed control strategy is demonstrated through an application to a disturbed supply chain.