Linear Periodic Systems Over Dioids
Discrete Event Dynamic Systems
Brief paper: Input signal design for identification of max-plus-linear systems
Automatica (Journal of IFAC)
Stable Model Predictive Control for Constrained Max-Plus-Linear Systems
Discrete Event Dynamic Systems
Stabilization of max-plus-linear systems using model predictive control: The unconstrained case
Automatica (Journal of IFAC)
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Alinear system theory has been developed for discrete event systemssubject to synchronization. We are interested in the just intime control of such systems in presence of a possible mismatchbetween the system and its model. Taking such mismatch into accountin controller synthesis prevents us from using the usual openloop control structure. The approach we propose to synthesizethe controller is inspired by the principle of the indirect adaptivecontrol well known in conventional system theory. Its designleads to solve an optimal tracking problem under an equalityconstraint. Preliminary results about the estimation of modelsare presented.