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11. Determine the structure of the transfer functions and...
1. (35%). Match the transfer functions H,(s) to He(s) to the step responses shown below (justify...
1. (35%). Match the transfer functions H,(s) to He(s) to the step responses shown below (justify your answers and show the calculation details): 30 10 s2 +s+1 30 ·H2(s) = 0 H4(s) Hs(8)+3s+ 10 10 10 30 . He(s) = s 38+30 Siep Response (B) Step Response (A 1.5 1.5 o.s 0.5 Time (seconds) Step Respos(C) Time (seconds) Sep Response (D) 1.5 Time (seconds) Step Response F) Step Response 1.5 0.75 0.5 0 25 0.5 Tme (seconds) Time (seconds)
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 6 Model Parameters from the Transient Response The step input r(t) = Rous(t) (R(8) =...
Problem 6 Model Parameters from the Transient Response The step input r(t) = Rous(t) (R(8) = Ro/s) is applied to a system whose block diagram model is given below in Figure 8.24. The corresponding step response measurement is shown in Figure 8.25. In the sten response measurement, note that peak time is to = - ( 1.96) and the peak value is ctp) = 2.2. The open-loop transfer function G(s) is of the form $(8 + a) where a and...
PROBLEM2 The unit step response of two systems, T(s) and T,(s), are shown in Figure P2.1...
PROBLEM2 The unit step response of two systems, T(s) and T,(s), are shown in Figure P2.1 below T,(s) T(s) 0 0102 0.3 Tefseconds 08 07 0.8 0. Figure P2.1: Unit step responses of linear second-order control systems T(s) and T,(s) Assuming that T(s) and T,(6) are linear second-order prototypical control systems, do the following (a) Determine the closed-loop transfer function 7(s). (b) Determine the closed-loop transfer function T,(s). (7 points (3 points)
Question 1: a) Use MATLAB, plot the step repose for the following transfer functions. 48 G(s)-...
Question 1: a) Use MATLAB, plot the step repose for the following transfer functions. 48 G(s)- (8+6)(s+8) G(s)- 52 +2s + 18 18 Question 2: a) Using MATLAB, plot Bode log-magnitude and phase plot of (s+2)(8+5) G(S) - (s +3) ($2+2s +20) Question 3: Using MATLAB Sketch the root locus of the unity feedback system shown in the figure below: a) Give the values for all critical points of interest. b) Id the system ever unstable? If so, for what...
Assume the following closed-loop system with a PID controller. Match the step responses with the appropriate...
Assume the following closed-loop system with a PID controller. Match the step responses with the appropriate controller parameters. R(s) + PID Y(s) Controller G(s) 1. Step Response 1.5 data 0.5 0 10 40 50 20 30 Time (seconds) Kp = 2, Td = 1, Ti = 5 2. Step Response 1.5 =1, Kp = 5, Td Ti = 5 0.5 D 10 40 50 Кр = 10, Td = 1, T = 5 20 30 Time (seconds) Step Response 3....
Please solve these using matlab Problem 1 Given the transfer functions e S +5 (a) C(s)...
Please solve these using matlab
Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
1. There are 8 pole-zero graphs of system transfer functions in Figure E-1. Answer the following...
1. There are 8 pole-zero graphs of system transfer functions in Figure E-1. Answer the following questions about their frequency responses, impulse responses and step responses. Frequency response: (a) Which have a phase approaching zero at very high frequencies? (b) Which have a phase that is discontinuous at zero frequency? (c) Which have a magnitude approaching zero at high frequencies? Step response: (a) Which have a step response that is non-zero in the limit to? (b) Which have a step...
Please solve clearly and step by step. nity-feedback open-loop transfer function is B-7-28. Consider a u control system...
Please solve clearly and step by step.
nity-feedback open-loop transfer function is B-7-28. Consider a u control system whose G(s) s(s2+s +0.5) Determine the value of the gain K such that the resonant pcak magnitude in te frequcncy response is 2 dB, or M, 2 dB.
nity-feedback open-loop transfer function is B-7-28. Consider a u control system whose G(s) s(s2+s +0.5) Determine the value of the gain K such that the resonant pcak magnitude in te frequcncy response is 2...
1. (35%). Match the transfer functions H,(s) to He(s) to the step responses shown below (justify your answers and show the calculation details): 30 10 s2 +s+1 30 ·H2(s) = 0 H4(s) Hs(8)+3s+ 10 10 10 30 . He(s) = s 38+30 Siep Response (B) Step Response (A 1.5 1.5 o.s 0.5 Time (seconds) Step Respos(C) Time (seconds) Sep Response (D) 1.5 Time (seconds) Step Response F) Step Response 1.5 0.75 0.5 0 25 0.5 Tme (seconds) Time (seconds)
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)
Problem 6 Model Parameters from the Transient Response The step input r(t) = Rous(t) (R(8) = Ro/s) is applied to a system whose block diagram model is given below in Figure 8.24. The corresponding step response measurement is shown in Figure 8.25. In the sten response measurement, note that peak time is to = - ( 1.96) and the peak value is ctp) = 2.2. The open-loop transfer function G(s) is of the form $(8 + a) where a and...
PROBLEM2 The unit step response of two systems, T(s) and T,(s), are shown in Figure P2.1 below T,(s) T(s) 0 0102 0.3 Tefseconds 08 07 0.8 0. Figure P2.1: Unit step responses of linear second-order control systems T(s) and T,(s) Assuming that T(s) and T,(6) are linear second-order prototypical control systems, do the following (a) Determine the closed-loop transfer function 7(s). (b) Determine the closed-loop transfer function T,(s). (7 points (3 points)
Question 1: a) Use MATLAB, plot the step repose for the following transfer functions. 48 G(s)- (8+6)(s+8) G(s)- 52 +2s + 18 18 Question 2: a) Using MATLAB, plot Bode log-magnitude and phase plot of (s+2)(8+5) G(S) - (s +3) ($2+2s +20) Question 3: Using MATLAB Sketch the root locus of the unity feedback system shown in the figure below: a) Give the values for all critical points of interest. b) Id the system ever unstable? If so, for what...
Assume the following closed-loop system with a PID controller. Match the step responses with the appropriate controller parameters. R(s) + PID Y(s) Controller G(s) 1. Step Response 1.5 data 0.5 0 10 40 50 20 30 Time (seconds) Kp = 2, Td = 1, Ti = 5 2. Step Response 1.5 =1, Kp = 5, Td Ti = 5 0.5 D 10 40 50 Кр = 10, Td = 1, T = 5 20 30 Time (seconds) Step Response 3....
Please solve these using matlab
Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
1. There are 8 pole-zero graphs of system transfer functions in Figure E-1. Answer the following questions about their frequency responses, impulse responses and step responses. Frequency response: (a) Which have a phase approaching zero at very high frequencies? (b) Which have a phase that is discontinuous at zero frequency? (c) Which have a magnitude approaching zero at high frequencies? Step response: (a) Which have a step response that is non-zero in the limit to? (b) Which have a step...
Please solve clearly and step by step.
nity-feedback open-loop transfer function is B-7-28. Consider a u control system whose G(s) s(s2+s +0.5) Determine the value of the gain K such that the resonant pcak magnitude in te frequcncy response is 2 dB, or M, 2 dB.
nity-feedback open-loop transfer function is B-7-28. Consider a u control system whose G(s) s(s2+s +0.5) Determine the value of the gain K such that the resonant pcak magnitude in te frequcncy response is 2...
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