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International audienceThis article describes the problem of model order-reduction for a class of hybrid discrete-time switched linear systems composed of linear discrete-time invariant subsystems with a switching rule. This article investigates two novel approaches to model order-reduction. The first approach consists in evaluating the error approximation performance; the problems are solved using the robust stability results of the switched systems. The second approach presents the reachability and observability Gramians of the switched systems, which allows a balanced truncation model reduction procedure. A numerical example shows the effectiveness of the proposed approaches

The intelligent Driver Model (IDM) is an Adaptive Cruise Control (ACC) model which is wide used in transportation research. Although implementation simplicity in case of simulation, this model has drawbacks in terms of respect of the vehicle's capability and driver safety. This paper presents the state-of- the art of the IDM and the applied modifications to overcome its drawbacks

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