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This paper 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(More)
This paper deals with feedback controller synthesis for timed event graphs, where the number of initial tokens and time delays are only known to belong to intervals. We discuss here the existence and the computation of a robust controller set for uncertain systems that can be described by parametric models, the unknown parameters of which are assumed to(More)
| This paper deals with the synthesis of greatest linear causal feedback for Discrete Event Systems whose behavior is described in dioid. Such a feedback delays as far as possible the input of the system while keeping the same transfer relation between the input and the output. When a feedback exists in the system, we show how to compute a greater one(More)
This chapter deals with the control of discrete-event systems which admit linear models in dioids (or idempotent semirings), introduced in the previous chapter (see also the books [1, 19]). These systems are characterized by synchronization and delay phenomena. Their modeling is focused on the evaluation of the occurrence dates of events. The outputs(More)
— Timed event graphs (TEGs) are a subclass of timed Petri nets suitable to model decision-free timed discrete event systems. In classical TEGs, exact synchronization of two transitions T1 and T2 is available by requiring that transitions T1 and T2 fire simultaneously. In this paper, a new sort of synchronization, namely partial synchronization, is(More)
This paper introduces an adaptive feedback control strategy for (max,+)-linear systems. The feedback loop is tuned following to an estimation of the system transfer and in order to match a given reference model. An application of such an adaptive control strategy is possible for some manufacturing systems in which the feedback control corresponds to an(More)
—This paper deals with the state estimation for max-plus linear systems. This estimation is carried out following the ideas of the observer method for classical linear systems. The system matrices are assumed to be known, and the observation of the input and of the output is used to compute the estimated state. The observer design is based on the(More)