Question

4. For the system shown below, a. Determine the values of gain K and velocity-feedback constant K_h so that the maximum overshoot in the unit-step response is 0.2 and the peak time is 1 sec. b. With these values of K and K_h, obtain the rise time and settling time. Assume that J = 1 kg·m^2 and B = 1 N·m/rad/sec. R(s) -> [+] -> [+] -> K/(Js + B) -> 1/s -> C(s) Feedback from output through K_h to the negative summing junction. Hints: M_p = e^{-zetapi/sqrt{1-zeta^2}} t_p = pi/omega_d t_r = (pi- heta)/(omega_nsqrt{1-zeta^2}) t_s(2%) = 4/(zetaomega_n)

          4. For the system shown below,
a. Determine the values of gain K and velocity-feedback constant K_h so that the maximum overshoot in the unit-step response is 0.2 and the peak time is 1 sec.
b. With these values of K and K_h, obtain the rise time and settling time. Assume that J = 1 kg·m^2 and B = 1 N·m/rad/sec.

R(s) -> [+] -> [+] -> K/(Js + B) -> 1/s -> C(s)
Feedback from output through K_h to the negative summing junction.

Hints:
M_p = e^{-zetapi/sqrt{1-zeta^2}}
t_p = pi/omega_d
t_r = (pi-	heta)/(omega_nsqrt{1-zeta^2})
t_s(2%) = 4/(zetaomega_n)

4. For the system shown below,
a. Determine the values of gain K and velocity-feedback constant Kh so that the maximum overshoot in the unit-step response is 0.2 and the peak time is 1 sec.
b. With these values of K and Kh, obtain the rise time and settling time. Assume that J = 1 kg·m^2 and B = 1 N·m/rad/sec.

R(s) -> [+] -> [+] -> K/(Js + B) -> 1/s -> C(s)
Feedback from output through Kh to the negative summing junction.

Hints:
Mp = e^-zetapi/sqrt1-zeta^2
tp = pi/omegad
tr = (pi- heta)/(omegansqrt1-zeta^2)
ts(2%) = 4/(zetaomegan)

Added by Isaac V.

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