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Solution Assignment #8 True or False: (1) True (2) True (3) True (4) True (5) False 6.) b %Skill check 6 p=3.25*[1/6 1]; q=[1/24 11/24 1 0]; sys=tf(p,q); [mag,phase,w]=bode(sys); [Gm,Pm,Wcg,Wcp]=margin(mag,phase,w) Script Run Gm = 5.2850e+03 Pm = 54.8907 (Phase margin) Wcg = 262.3778 Wcp = 2.5586 (Cross over frequency) 7.) a p=[1 0.2]; q=[1/8 11/8 19/4 5]; sys=tf(p,q); bode(sys) The gain margin is ∞ so the system is stable
Gm = 7.2196e+04 Pm = 58.1073 Wcg = 268.7613 Wcp = 0.6678 Word Match (in or, top to bottom): f, e, k, b, j, a, i, d, h, c, g E9.16
The phase approximation is
E9.24 Using the Nyquist criterion, we have P=1 and N=0 which implies Z=N+P=1. Hence the system has root in the right half-plane. E9.25 p=[11.7]; q=[1/200 3/20 1 0]; sys=tf(p,q); bode(sys) grid on p=[11.7]; q=[1/200 3/20 1 0]; sys=tf(p,q); bode(sys) grid on Using the bode plot of the loop transfer function