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Given the system transfer f unction: G, (s) -2S+2) S+4 a) Plot the response y(t) for...
4. Consider the transfer function, Y(s)_ 3 F(s) + s(s2 + 2s + 4) (a) Qualitatively,...
4. Consider the transfer function, Y(s)_ 3 F(s) + s(s2 + 2s + 4) (a) Qualitatively, what is the time response y(t) if f(t) represents a unit-step input? What is the value of y(t) when time is sufficiently large? What is the time constant that we may use to evaluate the "speed" of response? (b) Repeat step (a) if f(t) represents an impulse input. What is y(t) when time is sufficiently large?
4. Consider the transfer function, Y($) F(S) 3 S(52 +2s + 4) (a) Qualitatively, what is...
4. Consider the transfer function, Y($) F(S) 3 S(52 +2s + 4) (a) Qualitatively, what is the time response y(t) if f(t) represents a unit-step input? What is the value of y(t) when time is sufficiently large? What is the time constant that we may use to evaluate the "speed" of response? (b) Repeat step (a) if f(t) represents an impulse input. What is y(t) when time is sufficiently large?
only b and c please 1 Consider the system whose transfer function is given by: G(S)...
only b and c please
1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
Given the system transfer f unction: Y(s) 104 osts3 R(s) S+8S+52 From the step response, determine...
Given the system transfer f unction: Y(s) 104 osts3 R(s) S+8S+52 From the step response, determine peak time, overshoot, and settling time
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...
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...
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3)...
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
7.22 A simple 1-DOF mechanical system has the following transfer function Y(s) 0.25 U(s) s +2s...
7.22 A simple 1-DOF mechanical system has the following transfer function Y(s) 0.25 U(s) s +2s +9 where the position of the mass y0) is in meters. The system is initially at rest, y(O) (0) 0, and the applied force is a step function u(t0 4N Copyrighto Problems 243 a. Accurately sketch the system response y() and label all important performance criteria on your sketch b. Use MATLAB or Simulink to verify your sketch in part (a). Plot y(o) from...
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...
Question 1: a) Use MATLAB, plot the step repose for the following transfer functions. 48 G(s)-...
Question 1: a) Use MATLAB, plot the step repose for the following transfer functions. 48 G(s)- (8+6)(s+8) G(s)- 52 +2s + 18 18 Question 2: a) Using MATLAB, plot Bode log-magnitude and phase plot of (s+2)(8+5) G(S) - (s +3) ($2+2s +20) Question 3: Using MATLAB Sketch the root locus of the unity feedback system shown in the figure below: a) Give the values for all critical points of interest. b) Id the system ever unstable? If so, for what...
4. Consider the transfer function, Y(s)_ 3 F(s) + s(s2 + 2s + 4) (a) Qualitatively, what is the time response y(t) if f(t) represents a unit-step input? What is the value of y(t) when time is sufficiently large? What is the time constant that we may use to evaluate the "speed" of response? (b) Repeat step (a) if f(t) represents an impulse input. What is y(t) when time is sufficiently large?
4. Consider the transfer function, Y($) F(S) 3 S(52 +2s + 4) (a) Qualitatively, what is the time response y(t) if f(t) represents a unit-step input? What is the value of y(t) when time is sufficiently large? What is the time constant that we may use to evaluate the "speed" of response? (b) Repeat step (a) if f(t) represents an impulse input. What is y(t) when time is sufficiently large?
only b and c please
1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
Given the system transfer f unction: Y(s) 104 osts3 R(s) S+8S+52 From the step response, determine peak time, overshoot, and settling time
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...
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...
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
7.22 A simple 1-DOF mechanical system has the following transfer function Y(s) 0.25 U(s) s +2s +9 where the position of the mass y0) is in meters. The system is initially at rest, y(O) (0) 0, and the applied force is a step function u(t0 4N Copyrighto Problems 243 a. Accurately sketch the system response y() and label all important performance criteria on your sketch b. Use MATLAB or Simulink to verify your sketch in part (a). Plot y(o) from...
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...
Question 1: a) Use MATLAB, plot the step repose for the following transfer functions. 48 G(s)- (8+6)(s+8) G(s)- 52 +2s + 18 18 Question 2: a) Using MATLAB, plot Bode log-magnitude and phase plot of (s+2)(8+5) G(S) - (s +3) ($2+2s +20) Question 3: Using MATLAB Sketch the root locus of the unity feedback system shown in the figure below: a) Give the values for all critical points of interest. b) Id the system ever unstable? If so, for what...
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