Abstract
A linear system theory has been developed for discrete event systems subject to synchronization. We are interested in the just in time control of such systems in presence of a possible mismatch between the system and its model. Taking such mismatch into account in controller synthesis prevents us from using the usual open loop control structure. The approach we propose to synthesize the controller is inspired by the principle of the indirect adaptive control well known in conventional system theory. Its design leads to solve an optimal tracking problem under an equality constraint. Preliminary results about the estimation of models are presented.
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