Any change in either of the inputs will lead to change in the values of both the outputs. This phenomenon persists even when two control loops are formed as in Fig. VI.3(b). This is termed as control loop interaction. There are two types of effects of an input on an output, viz . direct and indirect. The effects are best explained by the Fig.VI.4 where blue line indicates direct effect of input
on output
within its own loop, i.e. , loop 1 whereas green line indicates indirect effect of input
on output that
yields through loop 2.
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The concept of this loop interaction will be used for understanding Relative Gain Array (RGA).
Fig. VI.4: Direct and indirect effects of control loop interaction