Bode plots Sketch the Bode magnitude and phase diagrams for…

Bode plots Sketch the Bode magnitude and phase diagrams for the following transfer function. Do the first order (linear, not with jumps) approximation for the phase and magnitude.No need to calculate the magnitude at the break points.  Do the work on paper showing all the steps (which you’ll submit later) but type below the phase at zero rad/s and infinite rad/s. 

Frequency response based design: Lag Consider a unity feedba…

Frequency response based design: Lag Consider a unity feedback system with the plant Gp = 1 / ( (s+3) (s2 + 2s + 4) )  Here is some information from the Bode of Gp(s): At frequency ω = 0 rad/s magnitude is -21.6 dB  and phase is 0  degAt frequency ω = 2.24 rad/s magnitude is -24.7 dB   and phase is -140  degAt frequency ω = 7.85 rad/s magnitude is -54 dB   and phase is -234  degAt frequency ω = 69 rad/s magnitude is -110 dB   and phase is -266  deg Compute the gain K that will yield overshoot Mp=0.254. 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  0.02. Determine τI such that the desired phase margin does not change too much. Does the choice of τI affect the steady-state error?   Do the work on paper showing all the steps (which you’ll submit later) but type below your K,  α  and τI