Question

Problem 1: (Problems 7.2 and 7.4 from the text) i) Draw the polar plots associated with the rational transfer functions in P7.1 given below. ii) Use the Nyquist stability criterion to decide whether the corresponding system is stable under negative unit feedback or not. 7.1 Draw the straight-line approximation and sketch the Bode magnitude and phase diagrams for each of the following transfer-functions (a) G- (b) G = s + 0.1 (c) G= (d) G= s+ 10 (e) G = (s+ 1)(s+10), s(s10)" (f) G= (g) G= (h) G = s(s+10), s + 10 (s+1)(s + 10); s +10 (s + 1D(s +10)' (j) G=- (s2 +0.1s+1)2 s + 10 s2 + 0.1s + 1 s -0.1 (s - 1)(s 10) (6 + 10)% s(s +10)

Answer 1