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3) "L12:) 330003-21 + jou X [-2 -1 ][x₂] li Derive the transfer function...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25) (a) Develop a state space model for this transfer function, in the standard form x˙ = Ax + Bu y = Cx + Du (b) Suppose that zero input is applied, such that u = 0. Perform a modal analysis of the state response for this open-loop system. Your...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input)
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
This is for Controls Systems class. Please solve everything, and show all work and correct answers...
This is for Controls Systems class. Please solve everything, and
show all work and correct answers and matlab codes for positive
rating. A - C, E - F do by hand. D, G-I do in Matlab as
instructions direct. (Show codes and plots for
matlab solutions too!), show the code and plots obtained
for positive rating. Provided below is the Handout 7 equations that
are needed for this problem for use.
1. The state space model of a system is...
Problem 7. [MAILABⓒproblem] Write a short MATLAB script to construct the transfer function of a system...
Problem 7. [MAILABⓒproblem] Write a short MATLAB script to construct the transfer function of a system that is described by the following poles, zeros, and gain zeros =-1,1 ±2j poles =-2土2,-0.4 k = 1.28 and plot its response to a step input with amplitude 5 (meaning, u(t)-5 × 1(t). Determine the system's (1) time constant and (2) rise time from the plot of the step response. (Submit the MATLABO script and the plot; both should fit into one page. You...
Given the system transfer f unction: G, (s) -2S+2) S+4 a) Plot the response y(t) for...
Given the system transfer f unction: G, (s) -2S+2) S+4 a) Plot the response y(t) for a step input of amplitude 4 for t=[0:0.01:21 b) Verify that the plot is correct using the initial and final value theorems. o) Repeat steps q.and b for G, (s)0S(S + 4). Remember, in input is a step of c) Repeat steps a and b for G2 (S) S+2 amplitude 4.
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?
2. Consider the parallel RLC circuit mentioned in class, with C = 1, L = 4, and R = 1 (a) Derive the iin-to v transfer...
2. Consider the parallel RLC circuit mentioned in class, with C = 1, L = 4, and R = 1 (a) Derive the iin-to v transfer function, i.e., the circuit's impedance (b) Compute and plot the step response (c) Plot the magnitude of the frequency response function, G(jw) as a function of Compute, via analysis, the frequency wmar Wwhere maximum gain |G(jw)| is w. maximized (d) Verify your results using MATLAB: Plot the system's response to a step, and to...
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?
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s)...
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
- A causal system has input x[n] and output y[n]. Use the transfer function to determine...
- A causal system has input x[n] and output y[n]. Use the transfer function to determine the impulse response of this system. (a) x[n] = [[n]+} \n - 1]- 38[n – 20, x[n] = [[n] - [n – 1] (b) x[n] = (-3)" u[n], y[n] = 4(2)"u[n] – (7)" u[n]
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input)
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
This is for Controls Systems class. Please solve everything, and
show all work and correct answers and matlab codes for positive
rating. A - C, E - F do by hand. D, G-I do in Matlab as
instructions direct. (Show codes and plots for
matlab solutions too!), show the code and plots obtained
for positive rating. Provided below is the Handout 7 equations that
are needed for this problem for use.
1. The state space model of a system is...
Problem 7. [MAILABⓒproblem] Write a short MATLAB script to construct the transfer function of a system that is described by the following poles, zeros, and gain zeros =-1,1 ±2j poles =-2土2,-0.4 k = 1.28 and plot its response to a step input with amplitude 5 (meaning, u(t)-5 × 1(t). Determine the system's (1) time constant and (2) rise time from the plot of the step response. (Submit the MATLABO script and the plot; both should fit into one page. You...
Given the system transfer f unction: G, (s) -2S+2) S+4 a) Plot the response y(t) for a step input of amplitude 4 for t=[0:0.01:21 b) Verify that the plot is correct using the initial and final value theorems. o) Repeat steps q.and b for G, (s)0S(S + 4). Remember, in input is a step of c) Repeat steps a and b for G2 (S) S+2 amplitude 4.
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?
2. Consider the parallel RLC circuit mentioned in class, with C = 1, L = 4, and R = 1 (a) Derive the iin-to v transfer function, i.e., the circuit's impedance (b) Compute and plot the step response (c) Plot the magnitude of the frequency response function, G(jw) as a function of Compute, via analysis, the frequency wmar Wwhere maximum gain |G(jw)| is w. maximized (d) Verify your results using MATLAB: Plot the system's response to a step, and to...
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?
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
- A causal system has input x[n] and output y[n]. Use the transfer function to determine the impulse response of this system. (a) x[n] = [[n]+} \n - 1]- 38[n – 20, x[n] = [[n] - [n – 1] (b) x[n] = (-3)" u[n], y[n] = 4(2)"u[n] – (7)" u[n]
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