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?
d.) Which of the following are the types of responses for a second order system?
Critically damped, underdamped, overdamped, and ascillatory response?
Homework Answers
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a.) Given the transfer function TF(s) = A/(s+ 8)(s - 5). What
type of reponse do...
A system with a closed-loop transfer function of the form: T(S) = 10(s + 7) (s...
A system with a closed-loop transfer function of the form: T(S) = 10(s + 7) (s + 10)(s + 20) has a(n) ......... .... response. critically damped overdamped undamped underdamped
Y(s) 4 3. Consider a second order system_ and undamped natural frequency. Is the system underdamped,...
Y(s) 4 3. Consider a second order system_ and undamped natural frequency. Is the system underdamped, overdamped or critically damped? [5pts] What are the damping ratio U(s) s2+3s +4
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)
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...
Do only parts C and D 1. A second-order system has the following transfer function that...
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
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]...
Given G(s) = 5/(s^2 + 7s + 4) , is this system overdamped, underdamped, undamped, or critically d...
Given G(s) = 5/(s^2 + 7s + 4) , is this system overdamped, underdamped, undamped, or critically damped?
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sket...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from...
Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from R(s) to C(s) for the system of the diagram above. Draw the root locus for the system in the diagram above as a function of K Draw the unit step response for the system in the diagram above marking the settling time, peak time and maximum output. Find all the possibilities: overdamped, critically damped, underdamped. Find an expression to the steady state error to...
A chemical process unit exhibits an underdamped second order behavior as given by the transfer function:...
A chemical process unit exhibits an underdamped second order behavior as given by the transfer function: Y(s) U(s) 18 s2 + 3s + 9 Calculate the process gain, natural period of oscillation and damping factor for the system. (3m) b. If a step change in the input with the magnitude of 3 is introduced, i. Determine the step response (5m) ii. Estimate the new steady-state value of y. (2m)
A system with a closed-loop transfer function of the form: T(S) = 10(s + 7) (s + 10)(s + 20) has a(n) ......... .... response. critically damped overdamped undamped underdamped
Y(s) 4 3. Consider a second order system_ and undamped natural frequency. Is the system underdamped, overdamped or critically damped? [5pts] What are the damping ratio U(s) s2+3s +4
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)
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...
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
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]...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from R(s) to C(s) for the system of the diagram above. Draw the root locus for the system in the diagram above as a function of K Draw the unit step response for the system in the diagram above marking the settling time, peak time and maximum output. Find all the possibilities: overdamped, critically damped, underdamped. Find an expression to the steady state error to...
A chemical process unit exhibits an underdamped second order behavior as given by the transfer function: Y(s) U(s) 18 s2 + 3s + 9 Calculate the process gain, natural period of oscillation and damping factor for the system. (3m) b. If a step change in the input with the magnitude of 3 is introduced, i. Determine the step response (5m) ii. Estimate the new steady-state value of y. (2m)
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