Question

Flaut Gain ReS < 4ased-1p spsiom l0):Petermine Inagde and Phase of frenany respase (Yte)=MCw]Acas{ov£#An) and Setch the Bode Plot (Sinusoid inPat sule) =ACyat) Cb) When the inusida infat iut)=10oast, leterie trefnanty hesfase Le): Spetch the Nyguist Plot Ar open-1op's transfer funcfran KGIS) Plot the mognitnde trefoay Phase MyJuist Plot at Sere Paint intiaity Preuany whn Value of k inun Toginay axis cyoss d): using Nyguist stabity Criteren, Casider the Closed ofSystem' s Stabitity le): usng Ce) Whor kis 10, lalahfe the Phase Wavin (PM) and gain margn CGM) and Plotf the Pm, GM MAaist Plot ASgo), e), Plot the Vaues f PM,GM 4 Bode Plot on

Answer 1

C_r = 1/s^2 + 2 s + 2 (a) Determine magnitude and phase of frequency response (y (t)) = m (w) A cos A(w t + phi w) and sketch the plot (sinusoidal input is u (t) = A cos wt) (b) when the sinusoidal input is u (t) = 10 cos 12 t, determine frequency response . (c) sketch the plot for open - loops, transfer function: K G (s) (plot the magnitude and phase on plot at zero frequency imaginary axis cross point, infinity frequency when value of k increases (d) using stability criterion, consider the closed loop system ' s stability (e) using (c) , when k is 10, calculate the phase margin (p (x))