Control Engineering Block Diagram Reduction Examples
Explore various examples of block diagram reduction in control engineering, including open-loop transfer functions, closed-loop transfer functions, characteristic equations, and more. Simplify complex systems and obtain single transfer functions for analysis.
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Block Diagram Reduction Rules BDRR Control Engineering I
Example 9: For the system represented by the following block diagram determine: Control Engineering I 1. 2. 3. 4. 5. 6. 7. 8. Open loop transfer function Feed Forward Transfer function control ratio feedback ratio error ratio closed loop transfer function characteristic equation closed loop poles and zeros if K=100.
Example 10: Reduce the system to a single transfer function. (from Book Nise:page-243). Control Engineering I
Example 10: Continue. Control Engineering I
Example 10: Continue. Control Engineering I
Example 11: Simplify the block diagram then obtain the close-loop transfer function C(S)/R(S). (from Book Ogata: Page-47) Control Engineering I
Example 11: Continue. Control Engineering I
Example 12: Reduce the Block Diagram. Control Engineering I H 2 C _ R + G G G + ++ _ 3 1 2 H 1
Example 12: Control Engineering I H 2 G 1 _ C R + G G G + ++ _ 3 1 2 H 1
Example 12: Control Engineering I H 2 G 1 _ C R + G G 1G + ++ _ 3 2 H 1
Example 12: Control Engineering I H 2 G 1 C _ R + G G 1G + ++ _ 3 2 H 1
Example 12: Control Engineering I H 2 G 1 C _ R G G 1 2 + G + _ 1 3 G G H 1 2 1
Example 12: Control Engineering I H 2 G 1 C _ R G G G 1 G 2 3 H + + _ 1 G 1 2 1
Example 12: Control Engineering I C R G G G 1 2 + 3 + _ 1 G G H G G H 1 2 1 2 3 2
Example 12: Control Engineering I C R G + G G 1 2 G 3 H + 1 G G H G G G G 1 2 1 2 3 2 1 2 3
Example 13: Find the transfer function of the following block diagrams. Control Engineering I (s ) (s ) R Y 1G G 2 H H 2 1 H 3
Solution: Control Engineering I 1. Eliminate loop I G I (s ) (s ) R Y 2 A B G G H G 1 2 + 1 H 2 2 H 2 1 H 3 G 2. Moving pickoff point A behind block 2 + G H 1 2 2 (s ) (s ) R Y G A B G 2 + 1 1 G H 2 2 II + 1 G H H 2 2 + 1 1 G H G + ( ) 2 2 H H 2 3 1 G 2 H 3 Not a feedback loop
3. Eliminate loop II Control Engineering I (s ) (s ) R Y G + G 1 2 H 1 G 2 2 + 1 ( ) H G H + 1 2 2 H 3 G 2 ( ) G G + Y s 1 2 G = + + + ( ) R s G H G G H H G G H H 1 2 2 1 2 3 1 1 1 2 1 2
