Homework Answers
Show Matlab plot comparasion properly please 2) Let a system with an LTI model be 100...
Show Matlab plot comparasion properly please
2) Let a system with an LTI model be 100 G(s) = 2s2 + 24s + 200 a) Determine the zeros, poles, the steady state step response (aka DC gain), the damping ratio, and the natural frequency b) Find the step response of the system manually and plot the y(t) signal on Matlab c) Use Simulink to simulate the same step response and compare both by taking the L2 norm of the error between...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
Problem 2: Given the plant G,le)+2( +3) design a PI compensator Gc(s)-K Ш such the closed-loop...
Problem 2: Given the plant G,le)+2( +3) design a PI compensator Gc(s)-K Ш such the closed-loop unity feedback system has two dominant poles at s1.2 =-1 ±j. Using Matlab ritool (or simulink), simulate your closed loop system to show that the unit-step response of the system has PO ~ 4.3%, tr 2.35 sec, and 4 ะ 4.15 sec. Compute the closed-loop poles and zeros.
100 Consider the following LTI system, 5, and wo = 2000π rad/sec. where, Q a) Use MATLAB to deter...
please complete this project.
100 Consider the following LTI system, 5, and wo = 2000π rad/sec. where, Q a) Use MATLAB to determine magnitude response and phase response of the filter b) What type of filter is it? c) What will be the output of this filter if input x,(t)-5Cos(100t). Show all calculations step by step as shown in Lecture-20 d) Verify your answer of part (e) by using Simulink model. Attach the snapshot of Simulink model and output e)...
control system System Description: The figure 1 and 2 below show, respectively, components and block diagram...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
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]...
Recall the disc drive problem from Tutorials, where we demonstrated that the system can be written as e(s)+ 1000 Ge...
Recall the disc drive problem from Tutorials, where we demonstrated that the system can be written as e(s)+ 1000 Ge(s) s(s2 110s 1250) Figure 2: Disc Drive System Block Diagram We will now try to design a compensator with the requirements that i. Overshoot 1096 ii. Ts S 100ms ii. eramp() s 0.001 Do the following (you may use MATLAB at your leisure, but be sure to explain your logic for your design choices) a) Use MATLAB to draw the...
Using the Following Functions G(s) = 1 and H(s) = 1 1. Enter the G(s) and...
Using the Following Functions G(s) = 1 and H(s) = 1 1. Enter the G(s) and H(s) functions. (Take advantage of using either symbolic tool or entering vector format with Commands like tf to generate the transfer function.) Your goal is to find the following a) X(5) - O Y ) Cascade system b) XI(6) — 6) → Y(s) Parallel System X2(8) — 20) R(S) O G() Yes H(s) Feedback System (Hint: Use commands like cascade(tf), parallel(tf) and feedback(tt)) 2....
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...
3. Consider a second order system with transfer fuction P(s) = 2-B2 with a = 4000...
3. Consider a second order system with transfer fuction P(s) = 2-B2 with a = 4000 and ß = 25. Design a compensator assuming unity feedback for the gain and phase margins you apriori specify (try to achieve as high as possible). Compute the poles and zeros of the closed-loor system. Plot the Nyquist plot of your compensator and verify that the Nyquist criterion is satisfied. Plot the step response of the closed-loop system and specify maximum overshoot, peak time,...
Show Matlab plot comparasion properly please
2) Let a system with an LTI model be 100 G(s) = 2s2 + 24s + 200 a) Determine the zeros, poles, the steady state step response (aka DC gain), the damping ratio, and the natural frequency b) Find the step response of the system manually and plot the y(t) signal on Matlab c) Use Simulink to simulate the same step response and compare both by taking the L2 norm of the error between...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
Problem 2: Given the plant G,le)+2( +3) design a PI compensator Gc(s)-K Ш such the closed-loop unity feedback system has two dominant poles at s1.2 =-1 ±j. Using Matlab ritool (or simulink), simulate your closed loop system to show that the unit-step response of the system has PO ~ 4.3%, tr 2.35 sec, and 4 ะ 4.15 sec. Compute the closed-loop poles and zeros.
please complete this project.
100 Consider the following LTI system, 5, and wo = 2000π rad/sec. where, Q a) Use MATLAB to determine magnitude response and phase response of the filter b) What type of filter is it? c) What will be the output of this filter if input x,(t)-5Cos(100t). Show all calculations step by step as shown in Lecture-20 d) Verify your answer of part (e) by using Simulink model. Attach the snapshot of Simulink model and output e)...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
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]...
Recall the disc drive problem from Tutorials, where we demonstrated that the system can be written as e(s)+ 1000 Ge(s) s(s2 110s 1250) Figure 2: Disc Drive System Block Diagram We will now try to design a compensator with the requirements that i. Overshoot 1096 ii. Ts S 100ms ii. eramp() s 0.001 Do the following (you may use MATLAB at your leisure, but be sure to explain your logic for your design choices) a) Use MATLAB to draw the...
Using the Following Functions G(s) = 1 and H(s) = 1 1. Enter the G(s) and H(s) functions. (Take advantage of using either symbolic tool or entering vector format with Commands like tf to generate the transfer function.) Your goal is to find the following a) X(5) - O Y ) Cascade system b) XI(6) — 6) → Y(s) Parallel System X2(8) — 20) R(S) O G() Yes H(s) Feedback System (Hint: Use commands like cascade(tf), parallel(tf) and feedback(tt)) 2....
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...
3. Consider a second order system with transfer fuction P(s) = 2-B2 with a = 4000 and ß = 25. Design a compensator assuming unity feedback for the gain and phase margins you apriori specify (try to achieve as high as possible). Compute the poles and zeros of the closed-loor system. Plot the Nyquist plot of your compensator and verify that the Nyquist criterion is satisfied. Plot the step response of the closed-loop system and specify maximum overshoot, peak time,...
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