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KKKM3473/KKKM3314/KKKM3344 The characteristic polynomial of a feedback control system is given by 5. where K>0. Dete...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (the...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 2...
Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 225 270 101 10 Frequency (rad/s) 102 a. Looking at the low frequency behavior, determine its number of poles at origin. Explain. b. Looking at the high frequency behavior, determine the number of excess poles. Explain. C....
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
consider a feedback control system shown in Fig.1, where Problem 3 Consider a feedback control system...
consider a feedback control system shown in Fig.1, where
Problem 3 Consider a feedback control system shown in Fig. 1, where s2 +s+4 1. Is the system open-loop stable? 2. Determine the value of the proportional gain K such that the phase margin is Ap 3. What is the gain margin with this gain K? 50
a=8 Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the...
a=8
Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the right most integer of your UQUID. If Ss(s+a) | this is zero, use the next non-zero integer. For example, if your UQUID is 437056780, then "a" should be 8). Do the following four parts (a, b, c and d) by calculation only i.e. without making Bode plot. a. Find the phase cross-over frequency, gain margin, gain cross-over frequency (this will not be easy!) and...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
Consider the following control system: R + Let G(s) s +23-3 and H(s) K where K is some positive c...
Consider the following control system: R + Let G(s) s +23-3 and H(s) K where K is some positive constant. The transfer function H(s) can be considered a proportional feedback controller. (a) Examine the behavior of the system for different values of K. Try the values K 2, 4, 8. In each case, plot the pole-zero map of the closed-loop system and examine the step response. Comment on the stability of the system. Find the value of K for which...
b) A feedback control system is shown in Figure 6. Determine the gain, K for stable...
b) A feedback control system is shown in Figure 6. Determine the gain, K for stable operation using Routh-Hurwitz technique, where K is a gain which can be varied. (10 Marks) Ys) ss 4) Figure 6
G) r(t) Figure 1: Feedback control system A pulley and belt transmission has a linearized relationship between the driven pulley angle θ(t) in degrees and the input torque u(t) in Newton meters given...
G) r(t) Figure 1: Feedback control system A pulley and belt transmission has a linearized relationship between the driven pulley angle θ(t) in degrees and the input torque u(t) in Newton meters given by the following differential equation du(t) A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met: 1. the gain crossover frequency a should be between and a 2....
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 225 270 101 10 Frequency (rad/s) 102 a. Looking at the low frequency behavior, determine its number of poles at origin. Explain. b. Looking at the high frequency behavior, determine the number of excess poles. Explain. C....
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
consider a feedback control system shown in Fig.1, where
Problem 3 Consider a feedback control system shown in Fig. 1, where s2 +s+4 1. Is the system open-loop stable? 2. Determine the value of the proportional gain K such that the phase margin is Ap 3. What is the gain margin with this gain K? 50
a=8
Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the right most integer of your UQUID. If Ss(s+a) | this is zero, use the next non-zero integer. For example, if your UQUID is 437056780, then "a" should be 8). Do the following four parts (a, b, c and d) by calculation only i.e. without making Bode plot. a. Find the phase cross-over frequency, gain margin, gain cross-over frequency (this will not be easy!) and...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
Consider the following control system: R + Let G(s) s +23-3 and H(s) K where K is some positive constant. The transfer function H(s) can be considered a proportional feedback controller. (a) Examine the behavior of the system for different values of K. Try the values K 2, 4, 8. In each case, plot the pole-zero map of the closed-loop system and examine the step response. Comment on the stability of the system. Find the value of K for which...
b) A feedback control system is shown in Figure 6. Determine the gain, K for stable operation using Routh-Hurwitz technique, where K is a gain which can be varied. (10 Marks) Ys) ss 4) Figure 6
G) r(t) Figure 1: Feedback control system A pulley and belt transmission has a linearized relationship between the driven pulley angle θ(t) in degrees and the input torque u(t) in Newton meters given by the following differential equation du(t) A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met: 1. the gain crossover frequency a should be between and a 2....
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