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8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is...
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1...
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t) sin(t30*) b) r(t) 2cos(2t - 45) c) r(t) sin(t+30") + 2cos(2t -45)
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t)...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s)...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating wi...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s +...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to a single transfer function T(s) =R)...
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to a single transfer function T(s) =R) using the append and connect commands in MATLAB. pts b) Using Simulink simulate the transfer obtained in a) for a step input. c) Obtain the state-space representation of T(s). [10 [5 pts [10 pts] C(s) Ris 50 s+I 2 Figure 1 -Irt
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to...
8 The transfer function of a linear time invariant system is given as G(s) = 10/(S2...
8 The transfer function of a linear time invariant system is given as G(s) = 10/(S2 + 10s + 10). The steady state value of the output of the system for step input (R(s) = 1/s^2) will be: DS (3 Points) 100 0.1 O infinity None of them 0.01 1 10
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with ...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G (s) =...
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with...
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 20. c. Evaluate the steady-state error for a unit ramp input to your compensated system. d. Evaluate how much improvement in steady-state error was realized.
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system...
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66, design a PI controller to drive the steady-state error of the response to zero
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66,...
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t) sin(t30*) b) r(t) 2cos(2t - 45) c) r(t) sin(t+30") + 2cos(2t -45)
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t)...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to a single transfer function T(s) =R) using the append and connect commands in MATLAB. pts b) Using Simulink simulate the transfer obtained in a) for a step input. c) Obtain the state-space representation of T(s). [10 [5 pts [10 pts] C(s) Ris 50 s+I 2 Figure 1 -Irt
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to...
8 The transfer function of a linear time invariant system is given as G(s) = 10/(S2 + 10s + 10). The steady state value of the output of the system for step input (R(s) = 1/s^2) will be: DS (3 Points) 100 0.1 O infinity None of them 0.01 1 10
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G (s) =...
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 20. c. Evaluate the steady-state error for a unit ramp input to your compensated system. d. Evaluate how much improvement in steady-state error was realized.
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66, design a PI controller to drive the steady-state error of the response to zero
17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66,...
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