Schematex
block·Ogata control systems·industrial, education·complexity 3/3·since v0.1.0

Nested feedback loops

A multi-loop control block diagram — an inner loop closes G2·G3 around sensor H1, an outer loop closes the whole forward path around sensor H2 routed over the top, and two summing junctions combine the reference with each feedback signal. The kind of cascaded architecture a generic flowchart can't lay out.

For the control systems engineer

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Nested Feedback Loops Block diagram with 7 blocks, 2 summing junctions, 10 signals Nested Feedback Loops R(s) + + Y(s) + + G1(s) G2(s) G3(s) H1(s) H2(s) in out in out
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Scenario

Cascaded and nested control loops are everywhere in real plants — an inner velocity loop inside an outer position loop, an inner current loop inside a speed loop. Textbooks (Ogata, Franklin) draw them as block diagrams with multiple summing junctions and feedback paths that cross over the forward chain. Schematex routes those crossings automatically from a signal-flow description.

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How to read

The inner loop is G2 → G3 → H1 → s2: sensor H1 feeds the plant output back to the second summing junction, closing a loop around G2·G3. The outer loop is wider — G3 → H2 → s1 — where H2 (routed above) returns the final output to the first summing junction. The reference R(s) enters at s1, is corrected by both feedback signals in turn, and the cascaded plants drive Y(s). Two nested loops, one signal-flow spec.

Block syntax