MULTIVARIABLE CONTROL OF DISCRETE EVENT SYSTEMS IN DIOIDS

Abstract Timed event graphs are described in dioids by a linear state-space or transfer function model. This paper proposes a state feedback control under complete control and observation of the states. By using a model reference control approach, the closed-loop transfer function matches the control specification expressed as a given transfer function. It is shown that under certain conditions an optimal controller exists, although two sub-optimal controllers can always be obtained.