// multi-utility computation suite · offline · instant · precise
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eng.pole-placement-desired Calculator
Calculates state feedback gains for pole placement control design from the desired closed-loop poles using Ackermann's formula. Pole placement allows arbitrary assignment of closed-loop eigenvalues — controllability is the necessary condition for pole placement to be possible.
Inputs
Sigma
Reference formula or conversion factor shown for context.
Omega D Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Wn Natural Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Zeta Open
Reference formula or conversion factor shown for context.
Results
desired ωn (rad/s)
Sample size or count used in the calculation.
desired damping ratio ζ
The proportional relationship between two quantities.
settling time (2% criterion, s)
The computed duration or time value.
percent overshoot (%)
Sample size or count used in the calculation.
desired poles: s = -σ ± jωd
Reference formula or conversion factor shown for context.
method
The recommended calculation method or analytical approach for these conditions.