engineering recuitment GATE ECE 2023-24 Test Series Control Systems Signal Flow Graph and Block Diagram Block Diagram Reduction Technique
A control system is represented by below equations
y2 = a12 y1 + a32 y3
y3 = a23 y2 + a43 y4
y4 = a24 y2 + a34 y3 + a44 y4
y5 = a25 y2 + a45 y4
Then the Δ (in mason’s gain formula) for transfer function \(\frac{{{y_5}}}{{{y_1}}}\) is
1
1 - (a23 a32 + a34 a43 + a44 + a24 + a43 a32)
2
1 - (a23 a32 + a34 a43 + a44 + a24 a43 a32) + a23 a32 a44
3
1 - (a23 a32 + a34 a43 + a44 a44 + a24 a43 a32) + a23 a32
4
None of the above