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Closed loop dc gain(k) =1.
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10 Question: If a first order system and its time response to a unit step are...
9 Question: If a first order system and its time response to a unit step are...
9 Question: If a first order system and its time response to a unit step are as shown below, the value of Ais : DS (2 points) R(s) Y(s) KG(s) А G(s) = K = 4 Enter your answer
Question three The figure below shows a unit step response of a second order system. From...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
4. The unit step response of a first order system is shown below: Step Response Amplitude...
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
4. The unit step response of a first order system is shown below: Step Response Amplitude...
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
Problem 5a (10 points): In class, you have derived the response of a first-order system to...
Problem 5a (10 points): In class, you have derived the response of a first-order system to a unit-step input. Given a first-order system of the form G(s) = K / ( 1 + T s), where T is the time-constant, and K is the constant, find i) The time-response to a unit-ramp input r(t) = t. ii) The steady-state error for error measured as e(t) = r(t) - c(t). (Hint: the steady-state error is measured as t tends to infinity).
2 Question: According to the following Figure, what is the value of time response for the...
2 Question: According to the following Figure, what is the value of time response for the open loop? (2 Points) R(s) Y(s) K G(s) H(s) 2 K = 10, G (s) = -549 H(s) = 3, R (s) is unit step input function Enter your answer
Unit Step Response .A plant has the response, c(), to a unit step, as shown. 3.5 a. From the grap...
Unit Step Response .A plant has the response, c(), to a unit step, as shown. 3.5 a. From the graph, estimate 3 3 the system's time constant, 5 % overshoot and DC gain. 2 1.5 c. Using the information, find o.5 b. What is the system's damped natural frequency and damping ratio? the second order transfer function C(s)/R(s). 0.2 0.4 0.6 0.8 1.2 Time (sec)
Unit Step Response .A plant has the response, c(), to a unit step, as shown....
Full working and explanation please (15 Points 15. First Order Lead/Lag Compensation Consider first-order digital compe...
Full working and explanation please
(15 Points 15. First Order Lead/Lag Compensation Consider first-order digital compensation for a second-order plant given by: 1 G (s) = (s It has a compensator given (in the s-domain) by: 1)(s10) 3004(s1) C(s) = S42 We recall that digital compensator may be thought of a continuous equivalent, given by: K(z - A) (k(s a = Z D(z) = z B Sb Where A e-al and B = e-DT (and K is distinct from k)....
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
9 Question: If a first order system and its time response to a unit step are as shown below, the value of Ais : DS (2 points) R(s) Y(s) KG(s) А G(s) = K = 4 Enter your answer
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
2 Question: According to the following Figure, what is the value of time response for the open loop? (2 Points) R(s) Y(s) K G(s) H(s) 2 K = 10, G (s) = -549 H(s) = 3, R (s) is unit step input function Enter your answer
Unit Step Response .A plant has the response, c(), to a unit step, as shown. 3.5 a. From the graph, estimate 3 3 the system's time constant, 5 % overshoot and DC gain. 2 1.5 c. Using the information, find o.5 b. What is the system's damped natural frequency and damping ratio? the second order transfer function C(s)/R(s). 0.2 0.4 0.6 0.8 1.2 Time (sec)
Unit Step Response .A plant has the response, c(), to a unit step, as shown....
Full working and explanation please
(15 Points 15. First Order Lead/Lag Compensation Consider first-order digital compensation for a second-order plant given by: 1 G (s) = (s It has a compensator given (in the s-domain) by: 1)(s10) 3004(s1) C(s) = S42 We recall that digital compensator may be thought of a continuous equivalent, given by: K(z - A) (k(s a = Z D(z) = z B Sb Where A e-al and B = e-DT (and K is distinct from k)....
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
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