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Peak Time

Peak Time Equation


$$ T_p = \frac{\pi}{\omega_n \sqrt{1-ζ^2}} $$
where:

Tp   =   Peak Time   (s)

ωn   =   System Natural Frequency  

ζ   =   Damping Ratio  


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Equation Assumptions


  • The system is a linear time-invarient system.
  • The system is of second order.
  • The resposne is under-damped (ζ < 1).
  • The input is a step input.