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1. Find the magnitude and phase of the following complexumbers: 2. A system with the transfer...
Problem 3: A system has the transfer function: Gfs) -8 +24s+800 35+6 Assuming time for this system is expressed in seconds, if the system is subjected to a periodic input of 4 sin ot, determine a...
Problem 3: A system has the transfer function: Gfs) -8 +24s+800 35+6 Assuming time for this system is expressed in seconds, if the system is subjected to a periodic input of 4 sin ot, determine a) The frequency o where the amplitude of the output will be at its maximum b) The functional expression for how the output amplitude varies with-the input frequency, c) The functional expression for how the phase of the output with respect to the input varies...
50 400 Problem 3: A system has the transfer function: G(s) -8s+24s +800 3+80 Assuming time for this system is expressed in seconds,if the system is subjected to a periodic input of 4 sin cot, det...
50 400 Problem 3: A system has the transfer function: G(s) -8s+24s +800 3+80 Assuming time for this system is expressed in seconds,if the system is subjected to a periodic input of 4 sin cot, determine: a) The frequency o where the amplitude of the output will be at its maximum. b) The functional expression for how the output amplitude varies with the input frequency, o. c) The functional expression for how the phase of the output with respect to...
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), id...
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the zero gain, the slopes (in Decibels) and the high-frequency cutt-off rate. Then verify with Matlab (6) wn = 1, 〈 0.0.1, and 0.707. (8) Assuming the system of Problem 6 above, and an input of r(t) = 30sin(1000 t), use your bode plot to obtain the steady-state response
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the...
If the input to the system described by the difference equation y(n+1) (1/2)x(n+) -x(n) is a)...
If the input to the system described by the difference equation y(n+1) (1/2)x(n+) -x(n) is a) Does it matter what are the initial conditions for nc0 in order to find y(n) for n20? Explain your b) x(n) -u(n) answer. (3 points). Determine the transfer function H(z) and the Frequency Response (H(est) (10 points). Find the amplitude lH(epT)I and the phase He*') as a function of co. Evaluate both for normalized frequency ω T=z/4. ( 10 points) c) Find the steady...
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of...
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven b...
Use matlab for the following:
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven by a unit amplitude harmonic input mdx/dt+ cdx/dt + kx- Sin (wt) Use Matlab to simulate time response for ten well-chosen values of w for 3 different values of dimensionless damping factor : 0, between 0 and 1, larger than 1. Record and plot the steady state values of amplitude.
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven by a unit...
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode...
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode plot of open-loop transfer function when K (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) (c) For what input the system will have constant steady-state error (d) for the unit input in item (c) calculate the constant steady-state error.(Use bode plot to calculate the error.) (e) Design a lead...
Q3. Use the multiple system reduction methods: a) Find the final transfer function of the following...
Q3. Use the multiple system reduction methods: a) Find the final transfer function of the following system. (4 marks) R(5) C(s) S b) Find the initial and the final values of the impulse time-response of the system. (2 marks; bonus) c) If the input r(t) = sin (t), determine the steady-state response of the output, c(t). (2 marks; bonus)
Consider a linear, time-invariant system with an input given by X(T) = A, sin(Wit) where w,...
Consider a linear, time-invariant system with an input given by X(T) = A, sin(Wit) where w, is a specific frequency. The system has a frequency response given by the amplitude ratio (magnitude ratio) as a function of the frequency, Mw), and the phase difference as a function of frequency, °W). Write an expression for the corresponding output in terms of the input amplitude, A1, the input frequency, W1, the amplitude ratio, and the phase difference.
1 T I т I N F The transfer function of a linear differential equation is...
1 T I т I N F The transfer function of a linear differential equation is defined by the Laplace transform of output (response function) over the Laplace transform of input (driving force) The block diagram of a system is not unique. F In the system with the first order differential equation, the steady-state error due to unite step function is not zero. F In a system with a sinusoidal input, the response at the steady state is sinusoidal at...
Problem 3: A system has the transfer function: Gfs) -8 +24s+800 35+6 Assuming time for this system is expressed in seconds, if the system is subjected to a periodic input of 4 sin ot, determine a) The frequency o where the amplitude of the output will be at its maximum b) The functional expression for how the output amplitude varies with-the input frequency, c) The functional expression for how the phase of the output with respect to the input varies...
50 400 Problem 3: A system has the transfer function: G(s) -8s+24s +800 3+80 Assuming time for this system is expressed in seconds,if the system is subjected to a periodic input of 4 sin cot, determine: a) The frequency o where the amplitude of the output will be at its maximum. b) The functional expression for how the output amplitude varies with the input frequency, o. c) The functional expression for how the phase of the output with respect to...
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the zero gain, the slopes (in Decibels) and the high-frequency cutt-off rate. Then verify with Matlab (6) wn = 1, 〈 0.0.1, and 0.707. (8) Assuming the system of Problem 6 above, and an input of r(t) = 30sin(1000 t), use your bode plot to obtain the steady-state response
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the...
If the input to the system described by the difference equation y(n+1) (1/2)x(n+) -x(n) is a) Does it matter what are the initial conditions for nc0 in order to find y(n) for n20? Explain your b) x(n) -u(n) answer. (3 points). Determine the transfer function H(z) and the Frequency Response (H(est) (10 points). Find the amplitude lH(epT)I and the phase He*') as a function of co. Evaluate both for normalized frequency ω T=z/4. ( 10 points) c) Find the steady...
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
Use matlab for the following:
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven by a unit amplitude harmonic input mdx/dt+ cdx/dt + kx- Sin (wt) Use Matlab to simulate time response for ten well-chosen values of w for 3 different values of dimensionless damping factor : 0, between 0 and 1, larger than 1. Record and plot the steady state values of amplitude.
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven by a unit...
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode plot of open-loop transfer function when K (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) (c) For what input the system will have constant steady-state error (d) for the unit input in item (c) calculate the constant steady-state error.(Use bode plot to calculate the error.) (e) Design a lead...
Q3. Use the multiple system reduction methods: a) Find the final transfer function of the following system. (4 marks) R(5) C(s) S b) Find the initial and the final values of the impulse time-response of the system. (2 marks; bonus) c) If the input r(t) = sin (t), determine the steady-state response of the output, c(t). (2 marks; bonus)
Consider a linear, time-invariant system with an input given by X(T) = A, sin(Wit) where w, is a specific frequency. The system has a frequency response given by the amplitude ratio (magnitude ratio) as a function of the frequency, Mw), and the phase difference as a function of frequency, °W). Write an expression for the corresponding output in terms of the input amplitude, A1, the input frequency, W1, the amplitude ratio, and the phase difference.
1 T I т I N F The transfer function of a linear differential equation is defined by the Laplace transform of output (response function) over the Laplace transform of input (driving force) The block diagram of a system is not unique. F In the system with the first order differential equation, the steady-state error due to unite step function is not zero. F In a system with a sinusoidal input, the response at the steady state is sinusoidal at...
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