HioSys I/O Systems
HioEnvironment
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The data-type HioEnvironment is a Generator that is suited to model the I/O-system I/O environment.
For the I/O shuffle (HioShuffle) of a group of two or more plant components, an I/O environment S_EL = (Sigma_EL,L_EL) models the
internal interaction of the components among themselves and the external interaction of the group with the remaining
environment. The I/O environment is connected with the I/O shuffle of plant components and with the remaining environment via a controller- and
a plant-I/O port, respectively. The event sets are denoted
Ul and Yl for plant interaction and
Ue and Ye for interaction with the remaining environment. Thus,
the overall alphabet is composed as disjoint union
Sigma = Ul∪Yl∪Ue∪Ye. Technically, an I/O environment is of the same structure as an I/O controller.
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I/O environment: Definition
An I/O environment is a tuple S_EL = (U_L,Y_L,U_E,Y_E,L_EL), where
Sigma_EL is an alphabet with
Sigma_EL := Sigma_L∪Sigma_E,
L_EL is a language over Sigma_EL,
(U_L,Y_L) and (U_E,Y_E) are a plant- and a controller-I/O port of S_EL, respectively,
L_EL ⊆ Closure((Y_EU_E+Y_EY_LU_LU_E)*), and
L_EL is a complete language (see IsComplete).
The 4th item avoids loops of the sort (Y_LU_L)*, i.e. forbids operator commands without effect on the plant
being controlled. The last item forces the I/O environment to respond to plant output or operator input.
By the function IsHioEnvironmentForm, an HioEnvironment generator can be tested for compatibility with the above definition.
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