Homework Answers
This is the step response of the first transfer function
This is the step response of the second transfer function
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2. Determine the damping types of the given second order systems and fill out the table...
Not all second-order systems are designed to give a standard 2"d order response. Consider the pow...
Not all second-order systems are designed to give a standard 2"d order response. Consider the power steering for an automobile. The feedback system can be modeled as the block diagram shown in the figure below. For a unit step input A(s), find values of K1 and K2 for which the response w(t) is critically damped and has a steady-state gain of 0.4 unit. Repeat for a damping ratio of 0.7 and a steady-state gain of 0.2 unit. 7) Control Steering...
b) Given a second order system with the following open loop transfer function where damping ratio,...
b) Given a second order system with the following open loop transfer function where damping ratio, } = 0.707 and natural frequency, Wn= 2.5. wn? G(S) = S2 + 23wns +wn? i. Determine the steady state error to an appropriate input via a calculation method using the transfer function. Compare your answer with the steady state error from the exact frequency response for this system given in Figure Q4(b). (5 marks) ii. Evaluate the difference of the exact frequency response...
The unit step response of a second order system is 2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The da...
The unit step response of a second order system is
2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is
2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is
A 2nd order dynamic system has a damping ratio, ζ = 0.5 andnatural frequency, ωn...
A 2nd order dynamic system has a damping ratio, ζ = 0.5 and
natural frequency, ωn = 8 rad/s. The transfer
gain is K = 2. There are no zeros of the system. If the
general response to an impulse input has the form:h(t) =e(–ωnζt)[Asin(ωdt)
+ Bcos(ωdt)]; whereωd is the damped frequency. Find damped natural
frequency (ωd), value of constants A and B. Hint: To find A and B, find h(t) using “Transfer Function Property” and
compare it with the given expression...
Higher Colleges of Technology Faculty of Electronic Engineering Class Assignment 4 Second Order Systems EEC 4043:...
Higher Colleges of Technology Faculty of Electronic Engineering Class Assignment 4 Second Order Systems EEC 4043: Control Systems Score from 5 Student Name Student ID # You are required to analyze a DC motor speed control system shown in Figure I and 2 below. Figure 1 shows the equivalent circuit diagram of the DC motor control system, while Figure 2 shows the block diagram of the system feedback control G(s) drmanvee Motor Figare 2: The System Feedhack syacm daprams Figue...
Problem1 The response of an underdamped second order system to a step input can be expressed as a...
Problem1 The response of an underdamped second order system to a step input can be expressed as a) Plot the system's response and from this response, explain how you would determine the rise time and settling time of the system (define these terms) b) If the experimentally observed damped period of oscillation of the system is 0.577ms and, from a logarithmic decrement analysis, the damping ratio is found to be is the damped circular frequency of the system? the natural...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
Problem The response of an underdamped second order system to a step input can be expressed as ...
Problem The response of an underdamped second order system to a step input can be expressed as S lf the espenmentally observed damped period of oscillation of the system is 0577ms and, from a logarithmic decrement analysis, the damping ratio is found to be 0.8, what is the damped circular frequency of the system? the natural frequency of the system
Problem The response of an underdamped second order system to a step input can be expressed as
S lf the...
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?...
1: The plot shown below represents the step response of a second-order LTI system (with input...
1: The plot shown below represents the step response of a second-order LTI system (with input (t) and output y(t)) with zero initial conditions. From the step response: (a) Estimate the peak time tp, and the maximum percentage overshoot %Mp. (b) Estimate the natural frequency wn and the damping ratio c. (c) Derive a differential equation corresponding to this system using the results of parts (a) and (b). Step Response X: 085 Y: 1.261 Amplitude 0 0.5 1 1.5 2...
Not all second-order systems are designed to give a standard 2"d order response. Consider the power steering for an automobile. The feedback system can be modeled as the block diagram shown in the figure below. For a unit step input A(s), find values of K1 and K2 for which the response w(t) is critically damped and has a steady-state gain of 0.4 unit. Repeat for a damping ratio of 0.7 and a steady-state gain of 0.2 unit. 7) Control Steering...
b) Given a second order system with the following open loop transfer function where damping ratio, } = 0.707 and natural frequency, Wn= 2.5. wn? G(S) = S2 + 23wns +wn? i. Determine the steady state error to an appropriate input via a calculation method using the transfer function. Compare your answer with the steady state error from the exact frequency response for this system given in Figure Q4(b). (5 marks) ii. Evaluate the difference of the exact frequency response...
The unit step response of a second order system is
2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is
2- The unit step response of a second order system is Ste Consider the following statements: i) The under damped natural frequency is ii) The damping ratio is iii) The impulse response is
A 2nd order dynamic system has a damping ratio, ζ = 0.5 and
natural frequency, ωn = 8 rad/s. The transfer
gain is K = 2. There are no zeros of the system. If the
general response to an impulse input has the form:h(t) =e(–ωnζt)[Asin(ωdt)
+ Bcos(ωdt)]; whereωd is the damped frequency. Find damped natural
frequency (ωd), value of constants A and B. Hint: To find A and B, find h(t) using “Transfer Function Property” and
compare it with the given expression...
Higher Colleges of Technology Faculty of Electronic Engineering Class Assignment 4 Second Order Systems EEC 4043: Control Systems Score from 5 Student Name Student ID # You are required to analyze a DC motor speed control system shown in Figure I and 2 below. Figure 1 shows the equivalent circuit diagram of the DC motor control system, while Figure 2 shows the block diagram of the system feedback control G(s) drmanvee Motor Figare 2: The System Feedhack syacm daprams Figue...
Problem1 The response of an underdamped second order system to a step input can be expressed as a) Plot the system's response and from this response, explain how you would determine the rise time and settling time of the system (define these terms) b) If the experimentally observed damped period of oscillation of the system is 0.577ms and, from a logarithmic decrement analysis, the damping ratio is found to be is the damped circular frequency of the system? the natural...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
Problem The response of an underdamped second order system to a step input can be expressed as S lf the espenmentally observed damped period of oscillation of the system is 0577ms and, from a logarithmic decrement analysis, the damping ratio is found to be 0.8, what is the damped circular frequency of the system? the natural frequency of the system
Problem The response of an underdamped second order system to a step input can be expressed as
S lf the...
1: The plot shown below represents the step response of a second-order LTI system (with input (t) and output y(t)) with zero initial conditions. From the step response: (a) Estimate the peak time tp, and the maximum percentage overshoot %Mp. (b) Estimate the natural frequency wn and the damping ratio c. (c) Derive a differential equation corresponding to this system using the results of parts (a) and (b). Step Response X: 085 Y: 1.261 Amplitude 0 0.5 1 1.5 2...
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