Week 08
Frequency-Response Foundations
I follow the saved course materials and calculations from modeling through stability, root locus, and frequency response.
What I connect in this unit
In sinusoidal steady state, the magnitude of G(jω) gives the amplitude ratio and its phase gives the relative phase delay. Pole-zero effects across frequency reveal resonance and bandwidth, complementing the time-domain view of speed and damping.
Concept map
- Sinusoidal steady state
- Magnitude and phase
- Resonance
- Bandwidth
Technical anchor
For u=A sin ωt, write the steady response as |G(jω)|A sin(ωt+∠G(jω)). Mark the magnitude peak and the -3 dB crossing on the same plot to distinguish resonance from bandwidth.
How I review it
Evaluate complex G(jω) at several representative frequencies and verify that the magnitude and phase limits agree with the pole count at low and high frequency.
Connection to the full course
Unit 8 of 12. Unit numbers organize the concepts found in the materials and do not reproduce an attendance schedule.