Q4: For the system shown in figure (4) with derivative feedback. Determine the value of (A and K) when the value of damping ratio (=0.7) and steady state error for step input (ess=0.02). R(s) +, C(s) 8 A s2 +2s +3 Figure (4) Ks

Do b)

Analogue 2

6. Consider the circuit depieted in the figure below, R V,eiut where we shall assume that the input voltage can be written as Vin(t) = Re{Voet} with complex-valued Vg, and likewise that the output voltage Vout(t) = Re{Vje*} with complex-valued Vị. With j = V-1, the complex impedances of resistors, ca- pacitors, and inductors in this case are respectively given by ZR = R, Zc = ZL = jwL. (a) Determine Vı/Vo as a function the angular frequency w given the parameters R and C. (b) Evaluate Vi/Vo in the limit w +0 and in the limit w + o0. Is the circuit above a low-pass filter, a high-pass filter, or something else? w