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Determine which of the following is true for the transfer function below: C(s) 2(8+1) R(8) 8(8+2)...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
Determine: 1. The transfer function C(s)/R(s). Also find the closed-loop poles of the system. 2. The...
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
A closed-loop system's transfer function is given in the form: T(S) = $3 + 732 -...
A closed-loop system's transfer function is given in the form: T(S) = $3 + 732 - 21s + 10 S6 + 55 – 6s+ - 52 - S + 6 How many poles does the system have on the right-half side, RHS of the s-plane, on the left-half side, LHS of the es-plane, and on the jw-axis. O poles on the RHS, O poles on the LHS, and 6 poles on the jw-axis. 1 pole on the RHS, 1 pole...
a.) Given the transfer function TF(s) = A/(s+ 8)(s - 5). What type of reponse do...
a.) Given the transfer function TF(s) = A/(s+ 8)(s - 5). What type of reponse do you expect for a step change in input voltage. b.)Given transfer function TF(s) = 10 7/(s 2 + 4480 s + 10 7 ). Determine the gain A, the damping coefficient and the natural frequency of this system. C.)The transfer function of a systems has a (s 2 + 2s +5) term in the denominator. This indicates that it is a what order system?...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
Mod/ sim can you solve these questions please from A,v,c,d,e,f thanks a lot 2. For the...
Mod/ sim can you solve these questions please from A,v,c,d,e,f
thanks a lot
2. For the Laplace-domain function given below a. Determine the roots of the numerator of the function (the zeros of the system b. Determine the roots of the denominator of the function (the poles of the system) c. Determine the partial fraction decomposition of the function. d. Determine the function's representation in the time domain e. Use MATLAB to plot the function in the time domain. f....
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system...
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system zero Submit Part D-Type of Response Based on the locations af the poles and zeros, what will be the response to a unit step inpue? O Harmonic Oscillations (Marginally stable) Oscillatory motion with exponential decay tending to zero (stable O Critically damped exponential decay (stable)...
Question 2. The transfer Function of a feedback control loop is given by: C(s)- R(s) (3s...
Question 2. The transfer Function of a feedback control loop is given by: C(s)- R(s) (3s + where Ke is the controller gain. Derive the relationships between the gain, time constant, and damping ratio of the second-order transfer function to the controller gain. Find the ranges of the controller gain for which the response is (i) overdamped, (ii) underdamped, and (iii) undamped. Can the response be unstable for any positive values of the controller gain? x (s) y(s) = {1...
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
A closed-loop system's transfer function is given in the form: T(S) = $3 + 732 - 21s + 10 S6 + 55 – 6s+ - 52 - S + 6 How many poles does the system have on the right-half side, RHS of the s-plane, on the left-half side, LHS of the es-plane, and on the jw-axis. O poles on the RHS, O poles on the LHS, and 6 poles on the jw-axis. 1 pole on the RHS, 1 pole...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
Mod/ sim can you solve these questions please from A,v,c,d,e,f
thanks a lot
2. For the Laplace-domain function given below a. Determine the roots of the numerator of the function (the zeros of the system b. Determine the roots of the denominator of the function (the poles of the system) c. Determine the partial fraction decomposition of the function. d. Determine the function's representation in the time domain e. Use MATLAB to plot the function in the time domain. f....
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system zero Submit Part D-Type of Response Based on the locations af the poles and zeros, what will be the response to a unit step inpue? O Harmonic Oscillations (Marginally stable) Oscillatory motion with exponential decay tending to zero (stable O Critically damped exponential decay (stable)...
Question 2. The transfer Function of a feedback control loop is given by: C(s)- R(s) (3s + where Ke is the controller gain. Derive the relationships between the gain, time constant, and damping ratio of the second-order transfer function to the controller gain. Find the ranges of the controller gain for which the response is (i) overdamped, (ii) underdamped, and (iii) undamped. Can the response be unstable for any positive values of the controller gain? x (s) y(s) = {1...
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