Transformation: Transfer Function ↔ Signal Flow Graph

Given a system transfer function it is possible to derive a signal flow graph directly, but it is more convenient to first find a space model, and then move from the state space model to the signal flow graph.

Example: Transfer Function → Signal Flow Graph

Find a signal flow graph for the system described by the transfer function:

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Step 1: Find a state space representation using the methods described here (TF ↔ SS).  In this case we are using a CCF form).

 

Step 2: Find a signal flow graph using the methods described here (TF ↔ SFG).

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Example: Signal Flow Graph→ Transfer Function

Repeat the previous example, but reverse the order (i.e., do step 2 (SFG → SS) then step 1 (SS → TF)).

A better way do this is to use Mason's gain formula.


References

© Copyright 2005-2013 Erik Cheever    This page may be freely used for educational purposes.

Erik Cheever       Department of Engineering         Swarthmore College