Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at...
Question .(20 marks) Consider a control system shown in Fig.2 has an open loop TE-G(S)H(s)- 49 S(S+7) A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 51.8 degrees at 5.5 rad/sec.? B-Sketch the polar plot? C- Sketch the Bode plot and show gain margin and phase margin D- Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all Examiners
Question (20 marks) Consider a control system shown in Fig.2 has an open loop TF-G(s) H(s) 49 S(S+7) A-Prove that the gain margin=infinite db at infinite rad/sec. and the phase margin= 51.8 degrees at 5.5 rad/sec.? (4)
b- Consider a unity feed- back control system has (S+1 +)(S+2) (S+1-j) 3 4S2 6S + 4 a-Prove that as K-8 the gain margin-7.96 db at 2.45 rad/sec. and the phase margin 44.1 degrees at 1.56 rad/sec.? b-Sketch the polar plot? c-Sketch the Bode plot? d- Sketch the Nichols plot and Show Gm and Ym on the plots? e-Write short MATLAB program to solve a, b, c and d?
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
A unity feedback control system has the open loop TF as: \(G(s)=\frac{K(s+a+1)(s+b)}{s(s+a)(s+a+2)}\)a) Find analytical expressions for the magnitude and phase response for \(\mathrm{G}(\mathrm{s}) .\left[K=K_{1}\right]\)b) Make a plot of the log-magnitude and the phase, using log-frequency in rad/s as the ordinate. \(\left[K=K_{1}\right]\)c) Sketch the Bode asymptotic magnitude and asymptotic phase plots. \(\left[K=K_{1}\right]\)d) Compare the results from \((a),(b)\), and \((c) .\left[K=K_{1}\right]\)e) Using the Nyquist criterion, find out if system is stable. Show your steps. \(\left[K=K_{1}\right]\)f) Using the Nyquist criterion, find the range...
752) See Figure 752. D-4. The Bode gain and phase plots for a RC circuit are phase (deg), and frequency B. Also find the other shown in the fig. Determine gain (dB), (rad/sec) for the points labeled A and exponents. Answers: GdBA, phA, wA, GdBB, phB,wB,C, E,F. ans:9 Bode Gain and Phase Plots Gain in dB 6 -10 12.64 10 Frequency in rad/sec 10 10 Phase in deg 765 40 10 F 4764 Frequency in rad/sec Figure 752 10 10...
6) The open loop transfer function of a control system is 10-011. Ata frequency of 1 Hz, the system phase shift is: (1) 0.9 kg (2) 5.7" tag (3) 18 (6) 36"lag (5) none of the above h) The open-loop transfer function of control system is 10 At high frequencies, the gain will: (1) be constant (2) roll off at -20 d/decade (3) roll off at -40 dB/decade (6) roll off at 60 dB/decade The open-loop transfer function of a...
A unity feedback system has the following open-loop gain function 10 s(s+2) Use MATLAB to plot the Bode plot of this system Find the gain and phase margin. Identify these margins on the Bode plot. Is the G(s) a. b. system stable?
please show steps 5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
P4) Consider a system with open loop transfer function of G(s) ? a) Sketch the Bode plot. b) Design a PI controller to make the system have a phase margin of 45°. Assume that the open loop s+1)3 gain results in acceptable steady-state error