Transient response

Transient response

1. second order system

   • System transfer function with loop-closed
   • Dynamic behavior
     • ωn= Undamped natural frequency
     • ξ= Damping ratio (cash / crit)
       • 0 < ξ < 1 underdamped system
       • ξ= 1 system critically damped
       • ξ> 1 overdamped system
     • Performance criterion
       • tr = rise time
         • Response go to 0-100
       • td = time delay
       • tp = peak time, taken on its first peak on impulse
       • Mp = on maximum thrust, measured from the unit
       • ts = settling time
         • which the response differs from the final value in a range of 2 ~ 5%

2. The test signals are used regularly functions

   • parabola
   • impulse
   • sinusoida
   • ramp
   • step

3. By transient response we mean that it is the initial state to the final state.

4. First orden system