Overall Transfer Function
In the previous topic, we have discussed the transfer function of a block. In this we are going to know the Overall transfer function of a control system. A control system actually consists of several such blocks which are connected in series. The overall transfer function of the series is the product of the individual transfer functions. Consider a block diagram of any control system represented by the three blocks as shown in Fig.,
Fig. Overall transfer function.
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Thus, if are individual transfer functions of three blocks in series, then th overall transfer function of the system is given as
Where K = Constant representing the overall amplification or gain, and
G(D) = Some function of the operator D.
Note: The above equation only true if there is no interaction between the blocks, that is the output from one block is not affected by its connection to the subsequent blocks.
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