Q3) [40 points] Consider a unity feedback system with the fo…

Q3) Consider a unity feedback system with the following transfer function:  From the Bode plot of G(s), you observe that the phase is -140◦ at ω = 2.24 rad/s, and the corresponding magnitude is −24.7 dB. Compute the gain K that will yield Mp=0.25.  Using the gain K from part (a), compute the parameter α of a lag compensator so that the steady-state error to a unit step reference input is ess = 0.02. Also determine τI such that the desired phase margin does not change too much. Does the choice of τI affect the steady-state error? 

Q1) [30 points] Sketch the Bode magnitude and phase diagrams…

Q1) Sketch the Bode magnitude and phase diagrams for the following transfer function (first order approximation for the phase diagram is sufficient; no need to calculate the magnitude at the break points).  Hint: First, identify class 1, 2, and 3 terms and the associated parameters for each. Then use those parameters to sketch the Bode diagram.