Naming Variables:
Each Dimension in the Parametrical Space system is composed of three
linked Parameters {Maxval, Val, Minval}
Each Parameter has
four main variables {min, max, pos, inc}
min -> is
the (current) minumum
permitted
max -> is the
current maximum
permitted
pos -> is
the current value
(between min and max)
inc ->
is the increment
which is added (or subtracted) to the current pos to get the next pos
Minval.min and Maxval.max represent the
absolute (fixed) limits
of the system and are fixed during the initialisation process
Val.pos represents
the output of the
system
Minval.inc, Maxval.inc
and Val.inc are all
inputs -and can be
changed via the control
interface
Describing the Connections:
Val is the main parameter. Minval and Maxval control the
temporary minimum and
maximum values of Val.
if (depending on the control settings) Val.pos equals
or exceeds
its current minimum
or maximum value,
then the opposing limit is changed. i.e. if Val.pos reaches Val.max, then Val.min is changed.
Val.min and Val.max are linked to
respectively Minval.pos
and Maxval.pos,
So, for example, Val.min
is changed by adding (or subtracting) Minval.inc to the current
value of Minval.pos
-and after testing and possible correction to ensure that it
is within its own limits, Val.min
is set to the current value of Minval.pos.
A similar proceedure
modifies Val.max.
Feedback:
In a system with input and
output variables -it is theoretically possible to connect
output and
input (internally or
externally) so that what comes out can be fed back in.
If more than one
input
or
output is
available, then the question is raised of which
input should be conmnected
to which
output.
Control:
The connection between output and input can be modified or
unmodified.
In some cases, it may be advisable to add a modifier that will allow
the level of feedback
to be regulated.
Feedback can increase or
decrease the stability of the system.
Positive feedback amplifies the current
behaviour of the system because it increases as output
levels increase and decreases if output levels decrease.
Negative feedback inverts the output and so contributes
to system stability.
Obviously, an open system
that would become closed
by the feedback loop
becomes open again if
the feedback level is
subject to external
control -because system behaviour is now modified via this external control, instead
of the original input level.
Open and Closed:
A system which has inputs and outputs is an open system
A system that has no inputs
(but possibly outputs
-or it would be invisible) is called a closed system
In practice it may be difficult to decide if a system is
completely open or completely closed.
This may also depend on who is using the system: For example,
the owner may be able to access controls which the normal user
cannot. In which case, the system would appear to be open to the owner and closed to the user.