For a well-tuned servo system (Q = 2.3 dB), the response time is :tr = 2π /ωr
To obtain a faster system, we therefore need to increase the resonance pulsation, i.e. push the contact point of Black's locus with the contour Q = 2.3 dB towards higher frequencies.
The initial system S I (figure 11) tangents the contour Q = 2.3 dB for pulsation ωr. Note that the open-loop phase shift increases with increasing pulsation, and the gain decreases with increasing ω.
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