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• ### 5. Consider the feedback system as follows G2(s) where Gi(s) K( where G1(s) K(1and G2(s) and...

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....

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...

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...

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...

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...

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 [13] For the system with transfer function s2+4s+25 phase) plot on the semi-log pa...

25 G(s) draw the bode (magnitude and [13] For the system with transfer function s2+4s+25 phase) plot on the semi-log paper 25 G(s) draw the bode (magnitude and [13] 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...

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...

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)

• ### Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).

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...