automatic control systems
QUESTION 1: (35 points) The transfer function of the components of a control system is given as follows: ?????: ?(?) = 2 5? 2 + 1.6? + 4 ??????????: ?? (?) = ??(1 + 0.5 ? ) a) Obtain the values of ?? that makes the system stable. (10 pts.) b) If gain margin is 1.185, find the value of ??. (5 pts.) c) For the value of ?? found in part (b), find the phase margin. (10 pts.) d) Find the value of time delay that will make the system at part (b) be marginally stable. (10 pts.)
Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
28. Consider the system in Figure P10.9. ISection: 10.12] 50 C(s) Delay s+2+5) FIGURE P10.9 a. Fi...
28. Consider the system in Figure P10.9. ISection: 10.12] 50 C(s) Delay s+2+5) FIGURE P10.9 a. Find the phase margin if the system is stable for time b. Find the gain margin if the system is stable for each of e. For what time delays mentioned in Part a is the system d. For each time delay that makes the system unstable, delays of 0,0.1,0.2, 0.5, and 1 second. the time delays given in Part a. stable? how much reduction...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
U Question 2 50 pts The Bode diagram of the forward-path transfer function of a unity-feedback...
U Question 2 50 pts The Bode diagram of the forward-path transfer function of a unity-feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system....
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase ma...
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
Find a & b Figure 1 shows a closed-loop control system in which G(S)-40/1 (S+2) (S+3)],...
Find a & b
Figure 1 shows a closed-loop control system in which G(S)-40/1 (S+2) (S+3)], and H(S)-1/(S+4) Y(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed in dB that makes the system marginally stable? (25 points)
Figure 1 shows a closed-loop control system in which G(S)-40/1 (5+2) (5+3)], and H(S)-1/15+4) R(s) E(S)...
Figure 1 shows a closed-loop control system in which G(S)-40/1 (5+2) (5+3)], and H(S)-1/15+4) R(s) E(S) Y(5) G(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. Systemsys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed in dB that makes the system marginally stable?(25 points)
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase margin and gain margin. Is the closed loop system stable? (a) (17 marks) (b) By how much must the gain be adjusted for a phase margin of 50°? (8 marks)
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase...
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b)....
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b). Nyqulst Diagram x 10 1.5 1- System: N Real: -9.08e-005 0.5- Imag: -5.62e-006 Frequency (rad/sec): -104 -0.5 -15 -1.5 0.5 0.5 1.5 1 2.5 3.5 Real Axis x 10 Figure Q5(b) K If the transfer function of the system is given as G(s) (s+10)(s+50)(s+150) determine the following: The closed loop stability of the system using Nyquist Stability Criterion. i) ii) Gain margin and phase...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(S) E(S)...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(S) E(S) Y(s) G(S) HS) Figure 2 shows the Nyquist plot for the open-loop transfer function. Figure 2 shows the Nyquist plot for the open-loop transfer function System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion: a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed...
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.)...
28. Consider the system in Figure P10.9. ISection: 10.12] 50 C(s) Delay s+2+5) FIGURE P10.9 a. Find the phase margin if the system is stable for time b. Find the gain margin if the system is stable for each of e. For what time delays mentioned in Part a is the system d. For each time delay that makes the system unstable, delays of 0,0.1,0.2, 0.5, and 1 second. the time delays given in Part a. stable? how much reduction...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
U Question 2 50 pts The Bode diagram of the forward-path transfer function of a unity-feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system....
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
Find a & b
Figure 1 shows a closed-loop control system in which G(S)-40/1 (S+2) (S+3)], and H(S)-1/(S+4) Y(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed in dB that makes the system marginally stable? (25 points)
Figure 1 shows a closed-loop control system in which G(S)-40/1 (5+2) (5+3)], and H(S)-1/15+4) R(s) E(S) Y(5) G(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. Systemsys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed in dB that makes the system marginally stable?(25 points)
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase margin and gain margin. Is the closed loop system stable? (a) (17 marks) (b) By how much must the gain be adjusted for a phase margin of 50°? (8 marks)
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase...
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b). Nyqulst Diagram x 10 1.5 1- System: N Real: -9.08e-005 0.5- Imag: -5.62e-006 Frequency (rad/sec): -104 -0.5 -15 -1.5 0.5 0.5 1.5 1 2.5 3.5 Real Axis x 10 Figure Q5(b) K If the transfer function of the system is given as G(s) (s+10)(s+50)(s+150) determine the following: The closed loop stability of the system using Nyquist Stability Criterion. i) ii) Gain margin and phase...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(S) E(S) Y(s) G(S) HS) Figure 2 shows the Nyquist plot for the open-loop transfer function. Figure 2 shows the Nyquist plot for the open-loop transfer function System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion: a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed...
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.)...
Most questions answered within 3 hours.
-
Here is a pair of aromatic compounds that each have a complicated
set of aromatic peaks....
asked 12 minutes ago -
As with many public goods, determining the appropriate level of
government support for the production of...
asked 15 minutes ago -
Write a balanced chemical equation for the oxidation reaction
between Caro’s acid (H2SO5) and CN– ion...
asked 18 minutes ago -
Calculate the number of valence electrons for
[Mo(C6H6)(CO)3]
asked 28 minutes ago -
Which of the following are true about the strength of the
association between two variables?
1-...
asked 25 minutes ago -
You are a monopolist and know that your consumers have a linear
demand curve. At what...
asked 24 minutes ago -
Raising a heavy load requires work. Raising it in half the time
requires:
asked 30 minutes ago -
MGT-201: Marketing Management
Before deciding on the structure of the channel marketers must
take several factors...
asked 30 minutes ago -
1. ACLs allow a router to control traffic within a network. The
concept is very similar...
asked 32 minutes ago -
35. When the electron in a hydrogen atom falls from its first
excited energy level to...
asked 33 minutes ago -
A man is dragging a box of mass "m" by using a rope which rests
on...
asked 49 minutes ago -
Liquid octane
(CH3(CH2)6CH3) will
react with gaseous oxygen (O2) to produce gaseous carbon
dioxide (CO2) and...
asked 51 minutes ago