A Rogues Gallery of Relations
One of the most basic characteristics of systems is the way in which they map values on the inputs to values on the outputs. This mapping, or relation, can take on a variety of different types, which range from the most straightforward to the truly bizarre. This section introduces you to the various kinds of relations you might encounter, using a device I call the Rogues Gallery of Relations.
To see why you need to understand relations, imagine controlling the system shown in Figure 4.3. It's about as simple as a system can get, with just a single component, a single input, and a single output. The values of the input and the output both range from 0 to 100. The input has a knob and the output has a gauge, so you ...
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