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plot Bode diagrams of Gi(s) and G2(s) given below. 1 + S G(s)12s G2(s)1 G1(s) is a minimum-phase system and G2(s) is a...
5. Consider the feedback system as follows G2(s) where Gi(s) K( where G1(s) K(1and G2(s) and G2 (s) - S+3 s2+2s+2 K(s+3) (s+5) (a) Show that the transfer function of the above system is +(2+8K)s+15K (b) What value of K the system stability can be maintained?
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...
The graph G shown below is the union of three connected components G1,G2,G3.(The graph G consists of the three connected components G1, G2 and G3.) (1)what is Chromatic numberχ(G) (2)what is Chromatic polynomialρG(k) (do not expand). (3)what is the number of 6-colorings of G. (No need to simplify the answer.) Gi G2 G3
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
s G1 = G2 = S-8 G2 s2+1 G3= G4 = R(s) C(s) S G1 G3 G4 H1 H2 si 28+3 H1 H2 a) Find the characteristic equation by subtracting the transfer function (C (s) / R (s)) of the system, whose block diagram is given above. b) Determine the stability of the given system with Routh-Hurwitz stability analysis method.
Consider the following magnitude and phase plot of a minimum phase system. Please answer the following and explain. Consider the following magnitude and phase plot of a minimum phase system. Is this system stable or unstable? Explain your answer. Bode Diagram: Minimum-Phase Systenm 100 Gain Crossover 40 -60 80 100 90 135 -180 225 -270 -360 Phase Crossover Op Og Frequency (rad/sec) Consider the following magnitude and phase plot of a minimum phase system. Is this system stable or unstable?...
25 G(s) draw the bode (magnitude and  For the system with transfer function s2+4s+25 phase) plot on the semi-log paper 25 G(s) draw the bode (magnitude and  For the system with transfer function s2+4s+25 phase) plot on the semi-log paper
Problem 6 (5 marks) Draw the Bode plots for the system G(s) = 10 Bode Plot .... 1- - .... ... . 20 log M - - - 1111-... - - TH .. 101 100 102 --- - Phase (degrees) .... 101 10 10° Frequency (rad/s)
Plot the Bode diagram and phase diagram for given Transfer Function. Explain why this is a stable/unstable system? 4. 22pts G( s) = 9(S +8)/ ( S+6)(S+20) B) What is the phase Margin and Gain Margin A)
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...