PLEASE SHOW PROBLEM B, parts 1 and 2. THANKS
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PLEASE SHOW PROBLEM B, parts 1 and 2. THANKS
Process X(s) Y(s) 34 s2+ ms 6...
A process with potential instability due to resonance is described by the transfer function G(s) ...
A process with potential instability due to resonance is described by the transfer function G(s) where α is a small value limited to the range 0 α-1. Compensated Process Process X(s) : Y(s) kp P-control Phase-lead Compensator Figure 1: A process with potential resonance instability with a phase-lead com pensator and a P-controller PROBLEM D-BONUS: Given α 1 and kD 2, modify the con trol loop outside of the gray-shaded box in Figure 1 (i.e. either the controller itself or...
Problem 3. (15 points) Consider the feedback system in Figure 3, where G(s)1 (s -1)3 Ge(s)...
Problem 3. (15 points) Consider the feedback system in Figure 3, where G(s)1 (s -1)3 Ge(s) G(s) Figure 3: Problem 3 1. Let the compensator be given by a pure gain, ie, Ge(s)-K, K 0 (a) Draw the root locus of the compensated system (b) Is it possible to stabilize the systems by selecting K appropriately? If so, find the range for K such that the closed-loop system is BIBO stable. If not, explain. 2. This time, let the compensator...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch the bode diagram for G. 2. Knowing that a proportional controller with gain 1000 in a unity feedback loop with G results in an unstable system, what are the phase and gain margins of G? 3. Design a proportional controller that achieves a gain margin of 40dB. gain of 10dB at 0.01rad/s and a gain margin 4. Design that is infinity. compensator that results...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
Stuck on this problem, an explanation of the answer would be very much appreciated!!
Stuck on this problem, an explanation of the answer would be
very much appreciated!!
PROBLEM E3 A unity feedback system with loop transfer function G(o) is to be cascade-compensated, as shown in Figure P3 below. The closed-loop characteristic equation of the uncompensated system is given as G. (s) G(s) Cs) Figure P3. Unity feedback compensated control system block diagram. Do the following: (a) Determine the uncompensated system loop transfer function G(s). b) Sketch the root locus of the uncompensated system....
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value for kp. However, with the knowledge at this point, you can compute the pole locations without actually knowing kp (simply double the zero-order term in the denominator polyno- mial). Problem 2 You are confronted with a process that has the unknown transfer function G(s). It...
1. Using the MATLAB rltool command (or rlocus and rlocfind), plot the K > 0 root...
1. Using the MATLAB rltool command (or rlocus and rlocfind), plot the K > 0 root locus for What is the value of the largest damping ra- 2+2s+1 s(s120)7,7 -2,12). 1 + KL(s) = 0, where L(s) = tio associated with the pair of complex poles? At which value of K is it achieved? Turn in a printout of your plot showing the location of the poles on the damping ratio line that you found. 2. Suppose the unity feedback...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controlle...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...
Please solve parts (a) and (b) neatly and show problem solving. Ignore reference to part 1, but please still plot the root loci. For the system given in Figure 1 a) Design a PD compensator with the t...
Please solve parts (a) and (b) neatly and show problem solving.
Ignore reference to part 1, but please still plot the root
loci.
For the system given in Figure 1 a) Design a PD compensator with the transfer function: to give a dominant root of the closed-loop characteristic equation of the compen- sated system at s -1+j1 (i.e., a settling time Ts of less than 6 seconds and a maximum overshoot Mo of less than 10%). Required Pre-Practical work] (b)...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operat...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operating with 20% overshoot. [Section: 114] a. Find the settling time. b. Find Kp c. Find the phase margin and the phase-margin frequency d. Using frequency response techniques, design a compensator that will yield a threefold improvement in Kp and a twofold reduction in settling time while keeping the overshoot at 20%.
SS10. The unity-feedback system of Figure P11.1 with...
A process with potential instability due to resonance is described by the transfer function G(s) where α is a small value limited to the range 0 α-1. Compensated Process Process X(s) : Y(s) kp P-control Phase-lead Compensator Figure 1: A process with potential resonance instability with a phase-lead com pensator and a P-controller PROBLEM D-BONUS: Given α 1 and kD 2, modify the con trol loop outside of the gray-shaded box in Figure 1 (i.e. either the controller itself or...
Problem 3. (15 points) Consider the feedback system in Figure 3, where G(s)1 (s -1)3 Ge(s) G(s) Figure 3: Problem 3 1. Let the compensator be given by a pure gain, ie, Ge(s)-K, K 0 (a) Draw the root locus of the compensated system (b) Is it possible to stabilize the systems by selecting K appropriately? If so, find the range for K such that the closed-loop system is BIBO stable. If not, explain. 2. This time, let the compensator...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch the bode diagram for G. 2. Knowing that a proportional controller with gain 1000 in a unity feedback loop with G results in an unstable system, what are the phase and gain margins of G? 3. Design a proportional controller that achieves a gain margin of 40dB. gain of 10dB at 0.01rad/s and a gain margin 4. Design that is infinity. compensator that results...
Stuck on this problem, an explanation of the answer would be
very much appreciated!!
PROBLEM E3 A unity feedback system with loop transfer function G(o) is to be cascade-compensated, as shown in Figure P3 below. The closed-loop characteristic equation of the uncompensated system is given as G. (s) G(s) Cs) Figure P3. Unity feedback compensated control system block diagram. Do the following: (a) Determine the uncompensated system loop transfer function G(s). b) Sketch the root locus of the uncompensated system....
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value for kp. However, with the knowledge at this point, you can compute the pole locations without actually knowing kp (simply double the zero-order term in the denominator polyno- mial). Problem 2 You are confronted with a process that has the unknown transfer function G(s). It...
1. Using the MATLAB rltool command (or rlocus and rlocfind), plot the K > 0 root locus for What is the value of the largest damping ra- 2+2s+1 s(s120)7,7 -2,12). 1 + KL(s) = 0, where L(s) = tio associated with the pair of complex poles? At which value of K is it achieved? Turn in a printout of your plot showing the location of the poles on the damping ratio line that you found. 2. Suppose the unity feedback...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...
Please solve parts (a) and (b) neatly and show problem solving.
Ignore reference to part 1, but please still plot the root
loci.
For the system given in Figure 1 a) Design a PD compensator with the transfer function: to give a dominant root of the closed-loop characteristic equation of the compen- sated system at s -1+j1 (i.e., a settling time Ts of less than 6 seconds and a maximum overshoot Mo of less than 10%). Required Pre-Practical work] (b)...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operating with 20% overshoot. [Section: 114] a. Find the settling time. b. Find Kp c. Find the phase margin and the phase-margin frequency d. Using frequency response techniques, design a compensator that will yield a threefold improvement in Kp and a twofold reduction in settling time while keeping the overshoot at 20%.
SS10. The unity-feedback system of Figure P11.1 with...
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