Extra Note-Block Diagram Reduction Signal Flow Graph.doc

# Extra Note-Block Diagram Reduction Signal Flow Graph.doc -...

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Block Diagram Reduction & Signal Flow Graph Block Diagrams Basic components of a block diagram for a LTIV system Cascade or series subsystems,

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Parallel Subsystems,
Feedback Form a. Feedback control system; b. simplified model; c. equivalent transfer function

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Moving blocks to create familiar forms,
Example 1 Reduce the following block diagram to form a single transfer function. Solution,

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Example 2 Reduce the following block diagram to form a single transfer function. Solution,

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1.1 Control signal R ( s ) + E ( s ) Y ( s ) _ B ( s ) E ( s ) error signal B ( s ) feedback signal R ( s ) reference signal Y ( s ) output signal o Feed forward transfer function o Feedback transfer function ) ( ) ( ) ( s Y s B s H o Open-loop transfer function o Closed-loop transfer function E ( s ) Y ( s ) B ( s ) E ( s ) B ( s ) Open-loop Assume, 1 ) ( s H gives ) ( ) ( s B s Y . o Variable difference ) ( ) ( 1 ) ( s H s G s T o Characteristic equation 0 ) ( ) ( 1 s H s G ) ( ) ( ) ( s E s Y s G ) ( ) ( ) ( ) ( s H s G s E s B ) ( ) ( 1 ) ( ) ( ) ( s H s G s G s R s Y H (s) s G ( s ) H ( s ) G ( s ) ) ( ) ( ) ( ) ( s H s G s E s B ) ( ) ( ) ( ) ( s Y s H s R s E ) ( ) ( ) ( ) ( ) ( s
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• Spring '18
• Dr Shahrul Nizam
• Signal-flow graph

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