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