Homework Answers
First find the transfer functions of this system.
Answer:- Kp = 1.5831 ( For Damping Ratio = 0.7).
You can also find it from Rootlocus of this system.
The response of this system is like this.
I hope this solution would help you to clear your doubts.
If you have any queries regarding this solution Let me know in the comment section I will definitely help you.
Good luck and Thanks.
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Figure 2-32 shows a closed-loop system with a reference input and disturbance input. Solve for CD(s)...
Figure 2-32 shows a closed-loop system with a reference input
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separately.
D(S) R(S) Controller Plant Figure 2-32 Closed-loop system.
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2. The figure below shows a closed-loop system with a reference input and disturbance input. Obtain the expression for the output Y(s) when both the reference input and disturbance input are present. Please comment on the design of this system. TS RIN Gis) G®) G(S)
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pleas show all work thank you
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Calculate the damping ratio and natural frequency of the
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Consider the closed loop system defined by the following block diagram. a) Compute the transfer function...
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Problem 1. (20pts) Consider the closed-loop system shown in the following figure. + NET 1 RO (s +0.25)2 (52 +0.01) s(s+1) (a) What is the condition on the gain, K, for the closed-loop system to be stable? (b) What is the system Type with respect to the reference input? (c) What is the system Type with respect to the disturbance input, W? (d) Prove that the system can track a sinusoidal input, r = sin(0.1t), with zero steady- state error.
question b or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a...
question b
or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a value of Kp that will yield less than 15% overshoot for the closed-loop system. (Note: ignore the zero dynamics to calculate Kp initially). c IIsing vour K from nart h) write a MATI AR scrint that calculates the closedloon Motor Plant R(s)+ C(s) Controller 10 Kp (s+9) s2 +6s15 12 Figure 1: Unity feedback with PD control
or the...
Figure 2-32 shows a closed-loop system with a reference input
and disturbance input. Solve for CD(s) and CR(s)
separately.
D(S) R(S) Controller Plant Figure 2-32 Closed-loop system.
2. The figure below shows a closed-loop system with a reference input and disturbance input. Obtain the expression for the output Y(s) when both the reference input and disturbance input are present. Please comment on the design of this system. TS RIN Gis) G®) G(S)
pleas show all work thank you
Disturbance D(s) Reference Control Output Input Error Input t US) Y(s) Plant Given the above closed loop block diagram: Let aundl s) KK (a) Show that the above system will have zero steady state error for step reference input (when D(s)-0) as well as for step disturbance input (when R(s)-0). (b) LetJ B K1 and Kp0, what about the stability of the closed loop system?
Disturbance D(s) Reference Control Output Input Error Input t...
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...
Report task. A standard closed-loop control system is shown in Figure 6. Classify the different components and signals of the electronic compass system in the control engineering terms used in Figure 6, i.e. which components represent the controller, which the plant, what is the output signal, what the actuation signal. Reference Control Actuation Output error Controller signal Pant signal Y (s) value R(s) + U(s) E(s) K (s) G(s) Measured output signal Y (s) H(s) Measurement Figure 6: Basic control...
Calculate the damping ratio and natural frequency of the
closed-loop system for K=10 and K=25.
P4.15 The steering control of a modern ship may be rep- resented by ihe system shown in Figure P4.15|16, 20). (a) Find the steady-stale effect of a constant wind force represented by T (5) = 1/s for K = 10 and K = 25. Assume that the rudder input Riis) is zero, without any disturbance and has not been adjusted. (b) Show that the...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you need to calculate the closed-loop pole locations and make discussion for the two possible cases.) (Medim) (b) When a PD controller is used (C(s)kp+ kps), calculate the steady state tracking error when both R(s) and D(s) are unit steps. (8%) (Easy) (e) Suppose R(s) is a unit step and D(s)...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...
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question b
or the control system in Figure 1: C(s) Find the closed-loop transfer function T(s)-- R(s) a) b) Find a value of Kp that will yield less than 15% overshoot for the closed-loop system. (Note: ignore the zero dynamics to calculate Kp initially). c IIsing vour K from nart h) write a MATI AR scrint that calculates the closedloon Motor Plant R(s)+ C(s) Controller 10 Kp (s+9) s2 +6s15 12 Figure 1: Unity feedback with PD control
or the...
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