Second order system design and analysis tool

Natural Frequency (ω_n)

Damping Ratio (ζ, dimensionless)

Settling Tolerance (% or bits)

Notes: For tolerance in bits we use tolerance = 2^-bits.
Second order systems theory
Bode plot theory

Non‑dominant pole

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Gain-Bandwidth Product (GBP)

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Phase Margin (°)

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Gain‑Crossover Frequency (GCF)

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Rise time

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Overshoot %

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Required Slew-Rate

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Closed loop bandwidth (-3dB cutoff)

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Peaking (dB)

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Settling time (s)

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Bode plot of open loop gain

Magnitude (dB) Phase (deg)

Magnitude (dB) Phase (deg)