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10 A.) Show that the open-loop transfer function is: B.) Show that the closed-loop transfer function is: C.) Give the characteristic equation of the closed loop transfer (s+1+10 k)s s2 +s(1+10 k)+10 function and show how it may be expressed in the form of: 1 - KumS num(s) den (s) (caution: note distinction between 'k' and 'K')
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the plant transfer function G(s), in figure 4, is given by 1 SI - SG = 1+G(s)H(s) (ii) If G(s) = and H(s) = 10 (figure 4) and the dc gain of the plant transfer function G(s) changes by 1%, what is the corresponding change in the dc gain of the closed-loop system? [40%] (b) A feedback system is to control output angular position 0....
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If a system has the open-loop transfer function G(s) s(s+25n) with unity feedback, then the closed-loop transfer function is given b T(s) s2+20ns+wf Verify the values of the PM shown in Fig. 6.36 for = 0.1,0.4, and 0.7. Figure 6.36 Damping ratio versus 1.0 0.8 PM 2 0.6 0,4 0.2 0 0° 10° 20° 30° 40° 50 60° 70° 80° Phase margin Damping ratio,
If a system has the open-loop transfer function G(s) s(s+25n) with unity feedback, then...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negative feedback system that includes a plant a) with transfer function of Gi(s) and a cascade proportional controller with a gain of K. b) Write the closed-loop transfer function for such a negative feedback system c The plant has poles that are solutions to P(s) 0 and zeros that are the solutions to Z(s)-0. Write an equation involving K, P(s) and Z(s)...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
A system with a closed-loop transfer function of the form: T(S) = 10(s + 7) (s + 10)(s + 20) has a(n) ......... .... response. critically damped overdamped undamped underdamped
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
QUESTION 4 A unity feedback system has open-loop transfer function G(S). Polar plot of G(jw) is shown in the figure below. The gain margin (GM) and the phase margin (ØM) of the feedback system are None of the answers is correct b. GM = 0.3 and ØM = 112.33º O GM = -0.3 and ØM = 112.33 d. GM = 3.33 and ØM = 67.67° QUESTION 8 A unity feedback system as open-loop transfer function G(s) = 5(1 +ST) The...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...