Transfer Functions And Block Diagram Algebra

Question 1

What is the transfer function of a system

Answer 1

The ratio of the output / input

Question 2

How to simplify block diagrams

Answer 2

1. Combine all serial blocks
2. Combine all parallel blocks
3. Close all inner feedback loops
4. Move summing junction to the left and pick off point to the right

Question 3

What’s the process for simplifying Systems with multiple inputs

Answer 3

1. Set all but one input to zero
2. Rearrange block diagram
3. Repeat step 2 for all inputs
4. Add all transfer functions together to obtain the output for all inputs