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2. The figure below shows a closed-loop system with a reference input and disturbance input. Obtain...
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
and disturbance input. Solve for CD(s) and CR(s)
separately.
D(S) R(S) Controller Plant Figure 2-32 Closed-loop system.
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the mi...
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the minus sign at the bottom entry of the summing junction on the left.) Block H and G represent LTI systems; H has transfer function HL and G has transfer function GL. All blocks are causal (so that the closed-loop system is causal as well). Both z and d are...
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 wil...
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...
25 points Save The figure shows a closed-loop system What is the kp value to keep...
25 points Save The figure shows a closed-loop system What is the kp value to keep the system with a damping ration= 7/10? Plant disturbance Reference command + Control input System output error Kp 21(s+1) Feedback 6/(S+6)
Determine the proportioanl gain constant Kp and T such that the bandwidth of the closed-loop system...
Determine the proportioanl gain constant Kp and T such that the
bandwidth of the closed-loop system is around 0.55 rad/sec and an
overshoot of around 9%. Note that the closed-loop bandwidth is
close to the gain crossover (cut-off) frequency. Check your design
in both frequency and time domain and comment. Determine the
maximum overshoot and settling time. Determine as well, using a
Bode diagram, the expression of the stead state closed loop output
for a sinusodial input with 0 deg...
A negative feedback closed-loop system shown in the figure below is subjected to an input of...
A negative feedback closed-loop system shown in the figure below is subjected to an input of 5 V. Determine the output voltage (volts) if the system has a forward gain (G(s)) of 1 and feedback gain (H(s) of 1. R(S) - G(s) C($) HI O1V 071 2.5 V 5V
Y(s) C(s) G(s) R(S) Figure 1: Closed-loop system Q2 Consider the setup in Figure 1 with S s1 (i) ...
Y(s) C(s) G(s) R(S) Figure 1: Closed-loop system Q2 Consider the setup in Figure 1 with S s1 (i) Design a K,τ, α in the lead compensator 1TOS so that the closed-loop system shown in Figure 1 has a steady state error of.0 for a unit ramp reference input at R and a phase margin of about 45 degrees K, α, τ without Bode plots. When you add phase with the lead compensator add an additional 10 degrees of phase....
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design...
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
Please solve both parts a and b step-by-step using the block reduction method ONLY. Q4 a)...
Please solve both parts a and b step-by-step using the block
reduction method ONLY.
Q4 a) (1 mark) The figure below shows a block diagram of a control system, obtain the transfer function [Y(s)/R(s)]N=0 N(S) R(5) Y(s) Gy(s) Ge(s) H(s) b) (2 marks) The figure below shows a closed-loop system with a reference input and disturbance input. Obtain transfer functions C(s)/R(s) and C(s)/D(S) of the system shown. Use block diagram reduction method only. GF D(S) R(S) Es) U(5) Cs) GC...
Problem 1. (20pts) Consider the closed-loop system shown in the following figure. + NET 1 RO...
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.
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.
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the minus sign at the bottom entry of the summing junction on the left.) Block H and G represent LTI systems; H has transfer function HL and G has transfer function GL. All blocks are causal (so that the closed-loop system is causal as well). Both z and d are...
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...
25 points Save The figure shows a closed-loop system What is the kp value to keep the system with a damping ration= 7/10? Plant disturbance Reference command + Control input System output error Kp 21(s+1) Feedback 6/(S+6)
Determine the proportioanl gain constant Kp and T such that the
bandwidth of the closed-loop system is around 0.55 rad/sec and an
overshoot of around 9%. Note that the closed-loop bandwidth is
close to the gain crossover (cut-off) frequency. Check your design
in both frequency and time domain and comment. Determine the
maximum overshoot and settling time. Determine as well, using a
Bode diagram, the expression of the stead state closed loop output
for a sinusodial input with 0 deg...
A negative feedback closed-loop system shown in the figure below is subjected to an input of 5 V. Determine the output voltage (volts) if the system has a forward gain (G(s)) of 1 and feedback gain (H(s) of 1. R(S) - G(s) C($) HI O1V 071 2.5 V 5V
Y(s) C(s) G(s) R(S) Figure 1: Closed-loop system Q2 Consider the setup in Figure 1 with S s1 (i) Design a K,τ, α in the lead compensator 1TOS so that the closed-loop system shown in Figure 1 has a steady state error of.0 for a unit ramp reference input at R and a phase margin of about 45 degrees K, α, τ without Bode plots. When you add phase with the lead compensator add an additional 10 degrees of phase....
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
y(s) 2 u(s) s1 -. Consider the open-loop unstable system G(s) integral controller to regulate the output y to a constant reference r. The desired closed-loop transfer function is G) +16s +100 Design the simplest output feedback (20 pts)
Please solve both parts a and b step-by-step using the block
reduction method ONLY.
Q4 a) (1 mark) The figure below shows a block diagram of a control system, obtain the transfer function [Y(s)/R(s)]N=0 N(S) R(5) Y(s) Gy(s) Ge(s) H(s) b) (2 marks) The figure below shows a closed-loop system with a reference input and disturbance input. Obtain transfer functions C(s)/R(s) and C(s)/D(S) of the system shown. Use block diagram reduction method only. GF D(S) R(S) Es) U(5) Cs) GC...
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.
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