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• The forward-path transfer functions of unity-feedback control systems are given in the following equations. Plot the Bode diagram of G(ja)/K, and do the following: (1) Find the value of K so that the...

The forward-path transfer functions of unity-feedback control systems are given in the following equations. Plot the Bode diagram of G(ja)/K, and do the following: (1) Find the value of K so that the gain margin of the system is 20 dB. (2) Find the value of K so that the phase margin of the system is 45°. (a) G(s) G+0.55) (b) Gs)- s(1 +0.1s) (1 0.2s)(10.5s) (d) Go +3 (c) G(s)-3 (s +3) (s+3)4 Ke-s G1+55) (e) G (1+0.1s+0.012 G)2...

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2: Draw the Bode plot; magnitude only, for the following systems using the straight-line approximations G(s) = (s+1) (s+4) (s2+2s+25)

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7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O 45 a -90 135 180 10 102 Frequency (radis) 103 10 10 10 Find the associated transfer function Gs).Enter your answer symbolically in terms of s. For proper grading, do not factor out terms in the numerator or denominator, e.g., enter 5-+1015 and not5- (+2+3. G(s)- 7.5 (2 points) Given the Bode plot shown below: Bode Diagram 50 -50 E -100 150 O...

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• Q1. Draw the bode plot for each of the following systems. Compare your sketches with the plots obtained using the 'bode' command in MATLAB. a) Gs)4000 (s +40) e Gs) 1005+4) s(s+Is 25+5)...

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16.1 For the following systems, sketch the Bode diagram, and from the straight-line approximations to the gain and phase plots, estimate the maximum value of K for which the system is stable: a. GH(s) = s(s + 1) (s + 4) b. GH(s) = = s(1 + s) KS c. GH() = 6 *21 к d. GH(s) = s(s? + 2s + 16) 5K(1 + s) e. GH(S) = f'( + s/352

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sketch the bode diagram of the system below using approximations method G(s) = (e^(-0.5s))/(s + 1), phase angle of e^(-0.5s) is in radians