This document discusses block diagram reduction techniques. It provides steps to simplify a block diagram and determine the closed loop transfer function. The steps include applying rules such as combining blocks in series and parallel, moving summing points, interchanging summing points, eliminating feedback loops by considering the forward or feedback loop transfer function to be unity. An example problem is worked through to demonstrate these rules and techniques for simplifying block diagrams.

1. Block Diagram Reduction
Problems
- Ameya P. Nijasure
napradeep@mes.ac.in
Do visit Block Diagram Reduction rules (.ppt)

2. Problem 01
Simplify the following block Diagram
& determine closed loop transfer
function

3. Problem 01
STEP 01STEP 01 Rule 02: Blocks in Parallel

4. Problem 01
STEP 02
Rule 01 : Blocks in series

5. Problem 01
STEP 03
Rule 03 : Moving Summing point after the block

6. Problem 01
STEP 04
Rule 01 : Blocks in series

7. Problem 01
STEP 05
Interchanging summing points as there is
no transfer function between two.
NOTE : Sign change in G4H2 & H1H2 according to the flow

8. Problem 01
STEP 06
Rule 07: Eliminating feedback loop
Consider Forward loop t.f - Unity

9. Problem 01
STEP 07
Rule 01 : Blocks in series

10. Problem 01
STEP 08
Simplified Block Diagram

11. Problem 02

12. Problem 01
STEP 01STEP 01
Rule 06: Moving takeoff point
before the block

13. Problem 01
STEP 02 Rule 02: Blocks in Parallel

14. Problem 01
STEP 03 Rule 01: Blocks in Series

15. Problem 01
STEP 04
Rule 05: Moving takeoff point
after the block

16. Problem 01
STEP 05
Rule 07: Eliminating feedback loop

17. Problem 01
STEP 06
Rule 07: Eliminating feedback loop

18. Problem 01
STEP 07
Rule 07: Eliminating feedback loop
1
Consider Feedback loop t.f - Unity

19. Problem 01
STEP 08
Simplified Block Diagram

20. Thank you….!!
- Ameya P. Nijasure
napradeep@mes.ac.in