Block Diagram Reduction Rules Follow these rules for simplifying (reducing) the block diagram, which is having many blocks, summing points and take-off points. Rule 1 − Check for the blocks connected in series and simplify. Rule 2 − Check for the blocks connected in parallel and simplify. Rule 3 − Check for the blocks connected in feedback loop and simplify. Rule 4 − If there is difficulty with take-off point while simplifying, shift it towards right. Rule 5 − If there is difficulty with summing point while simplifying, shift it towards left. Rule 6 − Repeat the above steps till you get the simplified form, i.e., single block. Note − The transfer function present in this single block is the transfer function of the overall block diagram. Example Consider the block diagram shown in the following figure. Let us simplify (reduce) this block diagram using the block diagram reduction rules. Step 1 − Use Rule 1 for blocks G 1 and G 2 . Use Rule 2 for blocks...
