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
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