Static approach for switching between different operating modes

This work deals with operating mode management applied to discrete event systems (DES). Studied systems present several operating modes thus causing complexity of state space explosion. Therefore, we propose, firstly, a multi-model approach; each model describes a system in a given operating mode. In order to ensures the alternating between these operating modes; we propose, secondly, a static approach whose information depends on states of systems. We assume that only one attempted operating mode is activated at a time whilst other modes must be inactivated. The commutation problem can be defined as search the compatible states when the behavior of the physical system switches from operating mode to another. For this purpose, we propose an optimal algorithm to find compatibles states when a switching occurs.