Old spec 3.6 examples, blocks in seriesTutorialOld spec ENGR202Third4 min

ENGR202 (old spec) Control 3.6 Block Diagram Analysis, rule 1 and rule 2 examples (slides 10-13)

Reduce each pair of blocks in series to a single Transfer Function from UU to XX, and give its steady state gain.

Formulas you may need
  • Series rule: X=G1(s)G2(s)UX = G_1(s)G_2(s)U (learn this)
  1. (a)
    A gain of 5 followed by 0.85s+1\dfrac{0.8}{5s + 1}.
  2. (b)
    1s+2\dfrac{1}{s + 2} followed by 0.85s+1\dfrac{0.8}{5s + 1}.