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IEEE Transactions on Automatic Control, Vol.48, No.12, 2284-2287, 2003
Optimal closed-loop control of timed event graphs in dioids
This note deals with the model-reference control of timed event graphs using the dioid algebra and the residuation theory. It proposes a control structure based on a precompensator and a feedback controller to improve the controlled system performance. It is shown that this approach always leads to an optimal behavior of the closed-loop system. An example is given to illustrate the proposed approach.
Keywords:control;dioid;discrete-event dynamic systems;just-in-time;(max;plus ) algebra;timed Petri nets