Robust control of uncertain vector discrete event systems

This paper addresses the problem of robust state-feedback controller design for discrete event systems (plants) with internal uncertainty. We use a collection of deterministic vector discrete event systems (VDES) to model an uncertain plant N. The lower and upper bound VDES of the plant N are constituted from the collection of VDES. According to the lower and upper bound models, we design a robust state-feedback controller for the plant N to achieve the desired behavior of any models belonging to the collection of VDES. A sufficient condition of existing such a robust supervisor is also presented in this paper.