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SCHOOL OF INDUSTRIAL ENGINEERING Block Diagrams and Reduction Rules IE 474 IE 474 – Industrial Control Industrial Control Systems Systems IE 474 27 January 2012
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SCHOOL OF INDUSTRIAL ENGINEERING
Block Diagrams and Reduction Rules
IE 474 IE 474 –– Industrial Control Industrial Control
SystemsSystems
Rules
IE 474
27 January 2012
SCHOOL OF INDUSTRIAL ENGINEERINGBlock Diagrams
BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES.
Combining Block in Series
Moving a summing point forward
SCHOOL OF INDUSTRIAL ENGINEERING
BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES.
Moving a junction point backward
Block Diagrams
Moving a junction point forward
SCHOOL OF INDUSTRIAL ENGINEERING
BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES. BLOCK DIAGRAMS REDUCTION RULES.
Moving a summing point backward
Block Diagrams
Combining blocks in parallel
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Move right side of H2 junction forward
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Combine G3 and G4
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Combine H1 with (G3 and G4)
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Combine G2 with the block on its right side
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Combine H2 /G4 with the block below it
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Combine G1 with the block on its right side
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Combine H3 with the block above it
Block Diagrams
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Final solution:
Block Diagrams
The numerator is the product of the feedforward blocksThe denominator is equal to:
∑+)
(1
loopeacharoundfunction
transfertheofproduct
SCHOOL OF INDUSTRIAL ENGINEERING
EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION. EXAMPLE OF BLOCK REDUCTION.
Now, try to solve this one alone:
Block Diagrams
