Chapter 4, Problem 35P

a.

To determine

Peak time, settling time, %OS for the given response

  $c(t)=0.003500-0.001524e^{-4t}-0.001976e^{-3t}\cos (22.16t)-0.0005427e^{-3t}\sin (22.16t)$

If the response can be approximated as a second-order system.

b.

To determine

Peak time, settling time, %OS for the given response

  $c(t)=0.05100-0.007353e^{-8t}-0.007647e^{-6t}\cos (8t)-0.01309e^{-6t}\sin (8t)$

if the response can be approximated as a second order system.

c.

To determine

Peak time, settling time, %OS for the given response

  $c(t)=0.009804-0.0001857e^{-5.1t}-0.009990e^{-2t}\cos (9.796t)-0.001942e^{-2t}\cos (9.796t)$

if the response can be approximated as a second order system.

d.

To determine

Peak time, settling time, %OS for the given response

  $c(t)=0.007000-0.001667e^{-10t}-0.008667e^{-2t}\cos (9.951t)-0.0008040e^{-2t}\sin (9.951t)$

If the response can be approximated as a second-order system.