Question

Use mason’s gain formula to find the transfer function of the following signal flow graph:

(a) abcd+efg/1-cd-fg-cdfg

(b) acdfg+bcefg/1-cd-fg-cdfg

(c) abef+bcd/1-cd-fg-cdfg

(d) adcdefg/1-cd-fg-cdfg

I got this question by my college professor while I was bunking the class.

The question is from Signal Flow Graphs in section Mathematical Models of Physical Systems of Control Systems

Answer 1

Correct option is (b) acdfg+bcefg/1-cd-fg-cdfg

To explain I would say: Using mason’s gain formula transfer function from signal flow graph can be calculated which relates the forward path gain to the various paths and loops.