Week 09

Bode Plots

I follow the saved course materials and calculations from modeling through stability, root locus, and frequency response.

Automatic Control course visual
Course visual for this study sequence.

What I connect in this unit

A Bode plot builds total response by adding each pole's and zero's magnitude slope and phase contribution on a logarithmic frequency axis. An asymptotic sketch exposes the corner structure, while the exact curves locate gain and phase crossover frequencies.

Concept map

  1. Logarithmic frequency
  2. Asymptotic sketches
  3. Gain crossover
  4. Phase crossover

Technical anchor

Each first-order pole adds -20 dB/dec after its corner. Mark ωgc where |L(jωgc)|=1 and ωpc where ∠L(jωpc)=-180° as two distinct crossover frequencies.

How I review it

Factor the loop into constant gain, origin terms, and real poles or zeros; draw their straight-line contributions, then correct magnitude and accumulated phase near each corner.

Connection to the full course

Unit 9 of 12. Unit numbers organize the concepts found in the materials and do not reproduce an attendance schedule.

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