Homework Answers
![189.2mVニ]f0-281Y go of 30l1-e /70-28 2 109.2 + tこ1-44Tっt=36ms =Col 30, The eor =17o.28-189.ス J89 2 - 1038 10ン](http://img.homeworklib.com/questions/d1548c50-77ae-11eb-bc9c-83400e2bf3ad.png?x-oss-process=image/resize,w_560)
Add Answer to:
1. For a first order instrument with a sensitivity of .4 mV/K and a time constant...
For a first order instrument with a sensitivity of 4 mV/K and a time constant of...
For a first order instrument with a sensitivity of 4 mV/K and a time constant of 25 ms, find the instrument's response as a function of time for a sudden temperature increase from 273 K to 473 K. Before the temperature increase, the instrument output was a steady 109.2 mV. Plot the response y(t) as a function of time. What are the units for y(t)? Find the 90% rise time for y(t90) and the error fraction, I (190).
Wis) R(s u(s) 14 Gl(s) H(s) Given a system as in the diagram above, where K is an adjustable pa...
Wis) R(s u(s) 14 Gl(s) H(s) Given a system as in the diagram above, where K is an adjustable parameter pl(s) Dal(sKp+ g) Assuming W-0, find the transfer function Y(s)/R(s) h) Assuming R-0, find the transfer function Y(s)/W(s) i) What is the type of the system (with respect to steady-state error)? j) What is the steady-state error when rt)u(t) (unit-step) and w(t)-0 k) What is the s.s. error when r(t) t u(t) and w(t)-0 ) Assume r(t)-0, what is the...
Consider the plant sDs2) 1) What is the plant's type? 2) Let C(s) - K (a...
Consider the plant sDs2) 1) What is the plant's type? 2) Let C(s) - K (a proportional controller). Find the closed-loop transfer function from reference to output using unity feedback. ) Choose different gains for K within the range 1 to 100. Plot the unit step response for the different gains. What happens with the transient response of the closed-loop as K increases? 4) For K 20 find the maximum value attained by the output y(t) and the settling time...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
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,...
1. A process is known to be first order in the response of the tank temperature,...
1. A process is known to be first order in the response of the tank temperature, TO, to changes in the inlet flowrate, gi(). The process is at steady state. T) is at 125 °C and gi) is at 50 gpm. An engineer makes a step change of 5 gpm in qi(0. After a period of time, TO) settles at 158 °C Plot the deviation variables for these two variables over time starting from the time of the change until...
4. Given the discrete time system y(k +1)-y(k) x(k + 1) find the system transfer function...
4. Given the discrete time system y(k +1)-y(k) x(k + 1) find the system transfer function and its response for a sampled unit.
Consider a first-order system with input x(t) and output y(t). Let the time constant be the...
Consider a first-order system with input x(t) and output y(t). Let the time constant be the part of your birth date in the format of day, month (ddmm) in microseconds. Complete the following steps: 1. Write the differential equation representing the system. 2. Derive the transfer function H(s). A Note: Label all graphs appropriately. ddmm 3. Use H(s) with MATLAB to complete the following actions: • Find the poles are zeros. • Find the step response. • Find the impulse...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the r...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s)...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
For a first order instrument with a sensitivity of 4 mV/K and a time constant of 25 ms, find the instrument's response as a function of time for a sudden temperature increase from 273 K to 473 K. Before the temperature increase, the instrument output was a steady 109.2 mV. Plot the response y(t) as a function of time. What are the units for y(t)? Find the 90% rise time for y(t90) and the error fraction, I (190).
Wis) R(s u(s) 14 Gl(s) H(s) Given a system as in the diagram above, where K is an adjustable parameter pl(s) Dal(sKp+ g) Assuming W-0, find the transfer function Y(s)/R(s) h) Assuming R-0, find the transfer function Y(s)/W(s) i) What is the type of the system (with respect to steady-state error)? j) What is the steady-state error when rt)u(t) (unit-step) and w(t)-0 k) What is the s.s. error when r(t) t u(t) and w(t)-0 ) Assume r(t)-0, what is the...
Consider the plant sDs2) 1) What is the plant's type? 2) Let C(s) - K (a proportional controller). Find the closed-loop transfer function from reference to output using unity feedback. ) Choose different gains for K within the range 1 to 100. Plot the unit step response for the different gains. What happens with the transient response of the closed-loop as K increases? 4) For K 20 find the maximum value attained by the output y(t) and the settling time...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
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,...
1. A process is known to be first order in the response of the tank temperature, TO, to changes in the inlet flowrate, gi(). The process is at steady state. T) is at 125 °C and gi) is at 50 gpm. An engineer makes a step change of 5 gpm in qi(0. After a period of time, TO) settles at 158 °C Plot the deviation variables for these two variables over time starting from the time of the change until...
4. Given the discrete time system y(k +1)-y(k) x(k + 1) find the system transfer function and its response for a sampled unit.
Consider a first-order system with input x(t) and output y(t). Let the time constant be the part of your birth date in the format of day, month (ddmm) in microseconds. Complete the following steps: 1. Write the differential equation representing the system. 2. Derive the transfer function H(s). A Note: Label all graphs appropriately. ddmm 3. Use H(s) with MATLAB to complete the following actions: • Find the poles are zeros. • Find the step response. • Find the impulse...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
Most questions answered within 3 hours.
-
A local AM radio station broadcasts at an energy of
4.39×10-31 kJ/photon.
Calculate the frequency at...
asked 14 minutes ago -
Smithson Cutting is opening a new line of scissors for
supermarket distribution. It estimates its fixed...
asked 19 minutes ago -
A student working in a genetics lab was given the task of
studying a new Drosophila...
asked 20 minutes ago -
Object A is moving due east, while object B is moving due north.
They collide and...
asked 21 minutes ago -
Use the de Broglie relationship (l = h/mu where u is speed) to
determine the wavelengths...
asked 37 minutes ago -
An elliptical hair that is 80µ by 120µ in minor and
major diameters that is 10...
asked 37 minutes ago -
I need the SWOT analysis the Tenets of Warren Buffet for the
company "Goldman Sachs".
asked 38 minutes ago -
What is the state of relations between the Soviet Union and the
West between 1965 and...
asked 43 minutes ago -
regarding business managment-
1. define social identity theory / clearly state the
theory.
2. briefly mention...
asked 47 minutes ago -
Develop the pseudocode and the flowchart for a program that
finds the sum of 5 numbers.
asked 52 minutes ago -
Hi, I hope I can get some help with the following exercise in
C++( CPP):
1.Write...
asked 52 minutes ago -
Mul-Choice Psy
1. Kevin is a good student. He studies hard because when he does
he...
asked 1 hour ago