Homework Answers
Add Answer to:
The set-point of the control system under proportional control (Kc-2) undergoes a step change of ...
1. For Kc = 1, derive the overall transfer function for set-point tracking. 2. For Kc...
1. For Kc = 1, derive the overall transfer function
for set-point tracking.
2. For Kc = 1, derive the overall transfer function for disturbance
rejection.
3. With the PI-controller settings fixed, find the stability range
of the P-controller gain using direct substitution method.
4. Match the following control test to the response curves given in
the following figure (eg. I – A, II – B, III – C, IV – D)
The following figure shows a cascade control system...
Questions 14-17: For the control system shown below Design the compensator so that the unit-step response...
Questions 14-17: For the control system shown below Design the compensator so that the unit-step response has a settling-time ofless then twe seconds, rise-time of less th 025seconds, and overshoot ofless than 29%1, adion maximum value ofthe actuator signal ) must be kept under five14) Indicate the allowable region of the complex plane for the closed-loop poles 15) Deterine K and a, the answers are nos unique). 16.) Use Matlab to plot the step-response of the control system using your...
. When a 10-unit step function is applied to a system with Y (s) / X...
. When a 10-unit step function is applied to a system with Y (s) / X (s) = 1 / (9S2 + 3S + 1), for this system; A) Top shot B) The maximum value of Y C) Y's final value D) What is the period of oscillation, calculate?
G / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the...
g / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the input U(s) 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible, including the steady-state value of y(t), and whether there is oscillation. (b) What is the decay ratio? 425 Can a tank with the outflow rate fixed by a constant speedl pump reach a steady state if...
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)
c) An open-opstem is a process with p-only control with no controller without a controller with...
c) An open-opstem is a process with p-only control with no controller without a controller with two or more manipulated variables (d) The final control element is was a control valve in the instrument that changes the disturbance variable the instrument that gives signal to the controller jy the instrument that changes the manipulated variable (e) For proportional control, the larger the proportional band i the higher the sensitivity of the controller's signal to deviation in the lower the sensitivity...
PLEASE DO IN MATLAB Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control...
PLEASE DO IN MATLAB
Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control systems. The general setup of the system we are going to look at is given below: e(t) u(t) |C(s) y(t) P(s) r(t) Here the various signals are: signal/system r(t) y(t) e(t) P(s) C(s) и(t) meaning desired output signal actual output signal error signal r(t) y(t) Laplace transform of the (unstable) plant controller to be designed control signal Our goal is to design a controller...
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,...
Consider the following closed-loop system, where Y(s) R(s)+ KcP Ks Assume the following nominal values: Ko-2....
Consider the following closed-loop system, where Y(s) R(s)+ KcP Ks Assume the following nominal values: Ko-2. 〈 = 0.8; ω,-4; Ks-2. Use transfer function sensitivity calculations in answering the questions below. a) With proportional controller gain K 10 and r(t) a step input, determine the percentage change in steady-state output y(t) if Ko increases 5% from its nominal value. (12 pts.) b) Repeat part (a) with Kc - 50. (6 pts.) c) With proportional controller gain Kc 10 and r(t)...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
1. For Kc = 1, derive the overall transfer function
for set-point tracking.
2. For Kc = 1, derive the overall transfer function for disturbance
rejection.
3. With the PI-controller settings fixed, find the stability range
of the P-controller gain using direct substitution method.
4. Match the following control test to the response curves given in
the following figure (eg. I – A, II – B, III – C, IV – D)
The following figure shows a cascade control system...
Questions 14-17: For the control system shown below Design the compensator so that the unit-step response has a settling-time ofless then twe seconds, rise-time of less th 025seconds, and overshoot ofless than 29%1, adion maximum value ofthe actuator signal ) must be kept under five14) Indicate the allowable region of the complex plane for the closed-loop poles 15) Deterine K and a, the answers are nos unique). 16.) Use Matlab to plot the step-response of the control system using your...
g / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the input U(s) 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible, including the steady-state value of y(t), and whether there is oscillation. (b) What is the decay ratio? 425 Can a tank with the outflow rate fixed by a constant speedl pump reach a steady state if...
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)
c) An open-opstem is a process with p-only control with no controller without a controller with two or more manipulated variables (d) The final control element is was a control valve in the instrument that changes the disturbance variable the instrument that gives signal to the controller jy the instrument that changes the manipulated variable (e) For proportional control, the larger the proportional band i the higher the sensitivity of the controller's signal to deviation in the lower the sensitivity...
PLEASE DO IN MATLAB
Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control systems. The general setup of the system we are going to look at is given below: e(t) u(t) |C(s) y(t) P(s) r(t) Here the various signals are: signal/system r(t) y(t) e(t) P(s) C(s) и(t) meaning desired output signal actual output signal error signal r(t) y(t) Laplace transform of the (unstable) plant controller to be designed control signal Our goal is to design a controller...
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,...
Consider the following closed-loop system, where Y(s) R(s)+ KcP Ks Assume the following nominal values: Ko-2. 〈 = 0.8; ω,-4; Ks-2. Use transfer function sensitivity calculations in answering the questions below. a) With proportional controller gain K 10 and r(t) a step input, determine the percentage change in steady-state output y(t) if Ko increases 5% from its nominal value. (12 pts.) b) Repeat part (a) with Kc - 50. (6 pts.) c) With proportional controller gain Kc 10 and r(t)...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
Most questions answered within 3 hours.
-
If for a test the P-value is between 0.0025 and 0.005, what
conclusion can you draw?...
asked 9 minutes ago -
Using Python. Write a function clean2(aList) that takes a list
of integers aList as argument, and...
asked 15 minutes ago -
Intrapreneurship is defined as the
development of an enterprise culture with an existing (Nandan,
2009). An...
asked 29 minutes ago -
QUESTION 1 Tamiflu is a drug used to treat influenza. A study
found that Tamiflu reduced...
asked 33 minutes ago -
Which of the following would be less likely to be used to
allocate factory overhead when...
asked 39 minutes ago -
Transverse pulses travel with a speed of 195 m/s along a taut
copper wire whose diameter...
asked 37 minutes ago -
Sampling for Engineers Homework question 11.51
Suppose that Y1;Y2;Y3;Y4 denote a random sample from a
Poisson(θ)...
asked 41 minutes ago -
Which of the following is cleaved by regulated intramembrane
proteolysis (RIP)? Select any/all answers that apply....
asked 40 minutes ago -
Random characters You decide to create a program characters.py
that fills a two-dimensional list with random...
asked 52 minutes ago -
What are the major sources of error in your determination of the
molar mass? Select all...
asked 56 minutes ago -
A. Suppose your manager indicates that for a normally
distributed data set you are analyzing, your...
asked 1 hour ago -
During the month of August, the average temperature of a lake
next to a local college...
asked 59 minutes ago