![k[s2 + 2s + 2] 54 +53 +52 + K[s3 +682 + 10s +8] From the close loop transfer function determine maximum gain that can be used](http://img.homeworklib.com/questions/29c40910-3bd9-11eb-8c8c-6fe7f576c98f.png?x-oss-process=image/resize,w_560)
Homework Answers
For the transfer function given below G(S) 2s + 2 52 +53 +6 a) Find the...
For the transfer function given below G(S) 2s + 2 52 +53 +6 a) Find the differential equation. b) Present this system in a state space representation with a diagonal state matrix. c) Present this system using pole-zero form.
1- [a] For positive values of K, plot the root locus for a unity negative feedback...
1- [a] For positive values of K, plot the root locus for a unity negative feedback control system having the following open-loop transfer function: K G(s)= (5 + 1)(8 + 4)(8 + 7) For what values of gain K does the system become unstable? Find also the value of k at which the damping ratio is 0.5 and the closed loop poles. (25%) [b] The characteristic equations of linear control systems are given below. Apply Routh-Hurwitz criterion to determine the...
EXERCISE 2.4 1. Given $1 = {3,6,9, 52 = (a, b), and S3 = {m, n},...
EXERCISE 2.4 1. Given $1 = {3,6,9, 52 = (a, b), and S3 = {m, n}, find the Cartesian products: (0) Sy x 52 (b) $2 x S3 (C) 53 x 51 5. If the domain of the function y=5+ 3x is the set (* 1<x< 9), find the range of the function and express it as a set. EXERCISE 2.3 3. Referring to the four sets given in Prob. 2, find: (a) S, US (c) S2 S3 () 54...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3 s+7) the complex poles. G(s) (s +3) i) Determine the joo -axis crossing, breakaway point and the...
Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3 s+7) the complex poles. G(s) (s +3) i) Determine the joo -axis crossing, breakaway point and the angle of departure from (i) Determine the value of the gain for which the closed loop system will have a pole at (-10)
Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3...
G(s) = K(s + 2) (s2 + 9)/(s-2)(s+6) For the system above, find the following through calculations:
G(s) = K(s + 2) (s2 + 9)/(s-2)(s+6) For the system above, find the following through calculations: a) Sketch the root locus by hand, labeling all relevant points on your plot. a. Open Loop Poles and Zeros. b. Centroid (if there are any) c. Asymptotes (if there are any) d. Break away points (if there are any). e. Location where the poles cross into the Right Half Plane b) Discuss the stability of the system as the gain changes (i.e. does the system ever become unstable?). Find the...
Consider the unity feedback system is given below Ris) Cs) G(8) with transfer function: -K(s +1)...
Consider the unity feedback system is given below Ris) Cs) G(8) with transfer function: -K(s +1) G(S) 52 + 25 + 2 Considering that can have only positive values, the system is unstable when the value of K is ........
A gearset consists of a 16-tooth pinion driving a 40-tooth gear. The diametral pitch is 2,...
A gearset consists of a 16-tooth pinion driving a 40-tooth gear. The diametral pitch is 2, and the addendum and dedendum are 1/P and 1.25/P, respectively. The gears are cut using a pressure angle of 20° (a) Compute the circular pitch, the center distance, and the radii of the base circles. (b) In mounting these gears, the center distance was incorrectly made in larger. Compute the new values of the pressure angle and the pitch-circle diameters. 1- [a] For positive...
2. From the following Closed-Loop Transfer Function, find the range of Gain K that will cause...
2. From the following Closed-Loop Transfer Function, find the range of Gain K that will cause the system to be stable (10 points), unstable (10 points), marginally stable (10 points), and explain why respectively Assume K>O.[Apply Routh-Hurwitz Criterion NOTE 1: You need to walk me through the solution by displaying the formula and each of the steps. NOTE 2: You should NOT assume values, unless otherwise specified by the problem.
em Q5. Consider the Nyquist plot of the frequency response of the open-loop syst 10000 Go(s)...
em Q5. Consider the Nyquist plot of the frequency response of the open-loop syst 10000 Go(s) )(s +10) (s+50) which is shown in Figure Q5 below Real Axil 0.5 Figure Q5 (a) Write down the expression of the frequency response for this system, clearly showing the overall gain. why maximum value of an additional gain K for which the closed loop would still be stable? the corresponding point on the plot occurs at 12rad/s, what is the maximum delay xphian...
For the transfer function given below G(S) 2s + 2 52 +53 +6 a) Find the differential equation. b) Present this system in a state space representation with a diagonal state matrix. c) Present this system using pole-zero form.
1- [a] For positive values of K, plot the root locus for a unity negative feedback control system having the following open-loop transfer function: K G(s)= (5 + 1)(8 + 4)(8 + 7) For what values of gain K does the system become unstable? Find also the value of k at which the damping ratio is 0.5 and the closed loop poles. (25%) [b] The characteristic equations of linear control systems are given below. Apply Routh-Hurwitz criterion to determine the...
EXERCISE 2.4 1. Given $1 = {3,6,9, 52 = (a, b), and S3 = {m, n}, find the Cartesian products: (0) Sy x 52 (b) $2 x S3 (C) 53 x 51 5. If the domain of the function y=5+ 3x is the set (* 1<x< 9), find the range of the function and express it as a set. EXERCISE 2.3 3. Referring to the four sets given in Prob. 2, find: (a) S, US (c) S2 S3 () 54...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3 s+7) the complex poles. G(s) (s +3) i) Determine the joo -axis crossing, breakaway point and the angle of departure from (i) Determine the value of the gain for which the closed loop system will have a pole at (-10)
Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3...
Consider the unity feedback system is given below Ris) Cs) G(8) with transfer function: -K(s +1) G(S) 52 + 25 + 2 Considering that can have only positive values, the system is unstable when the value of K is ........
A gearset consists of a 16-tooth pinion driving a 40-tooth gear. The diametral pitch is 2, and the addendum and dedendum are 1/P and 1.25/P, respectively. The gears are cut using a pressure angle of 20° (a) Compute the circular pitch, the center distance, and the radii of the base circles. (b) In mounting these gears, the center distance was incorrectly made in larger. Compute the new values of the pressure angle and the pitch-circle diameters. 1- [a] For positive...
2. From the following Closed-Loop Transfer Function, find the range of Gain K that will cause the system to be stable (10 points), unstable (10 points), marginally stable (10 points), and explain why respectively Assume K>O.[Apply Routh-Hurwitz Criterion NOTE 1: You need to walk me through the solution by displaying the formula and each of the steps. NOTE 2: You should NOT assume values, unless otherwise specified by the problem.
em Q5. Consider the Nyquist plot of the frequency response of the open-loop syst 10000 Go(s) )(s +10) (s+50) which is shown in Figure Q5 below Real Axil 0.5 Figure Q5 (a) Write down the expression of the frequency response for this system, clearly showing the overall gain. why maximum value of an additional gain K for which the closed loop would still be stable? the corresponding point on the plot occurs at 12rad/s, what is the maximum delay xphian...
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