Generalized multivariable control of discrete event systems in dioids

Abstract

Dioids are algebraic structures suitable to represent a timed event graph by means of a linear state-space or transfer function model, where synchronization of events can be described. This paper proposes a model reference control strategy under partial observation and control of internal system transitions, where a controller is obtained by matching the closed-loop transfer function to a given transfer function (control specification). The problem formulation is quite general, allowing to deal studied cases in the literature as particular cases and to generalize some of them.