I am able to get the transfer function but am not sure where to go from there.
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I am able to get the transfer function but am not sure where to
go from...
4. (2 marks) Determine (i) the Laplace transfer function, (ii) the impulse response function, and (ii)...
4. (2 marks) Determine (i) the Laplace transfer function, (ii) the impulse response function, and (ii) the input-output relationship (in the form of a linear constant-coefficient differential equation) for the causal LTI systems with the input-output pairs: a) x(t)-41(t) and y(t)-tu(t) + e-2tu(t). b) x() e2tu(t) andy(t)2u(t-4).
etermine the transfer function of the circuit where i^(t) is the output variable and v.ct) is...
etermine the transfer function of the circuit where i^(t) is the output variable and v.ct) is the input variable. Generate the Bode plot showing the frequency response of the circuit. Only show the asymptotic plot of the terms making the transfer function as 5 H 10 k2 10 H 25 H 62.5 nF U) well as the composite plot for both the magnitude and phase.
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 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...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Dev...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form 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 analysis should include the nature of the time response for each mode, as well as how...
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...
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using t...
Please help with this dynamics circuit
analysis.
Please show work and explain.
Thank you!!
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using time-domain and impedance methods. (a) Determine the differential equation for the relationship between eo(1) and e(1) (b) Find the transfer function E, (s)/E,(s) and determine the system time constant in terms of the circuit element values C, C, and R 17 2 (c) Find the transfer function E, (s)/E,...
Doing a system dynamics problem I have found a transfer function to be 1/(2s+4). Can you...
Doing a system dynamics problem I have found a transfer function to be 1/(2s+4). Can you show me how to get the transient, steady state as well as the homogenous, particular solutions? Each pair added should be equivalent but my answers are not agreeing. By taking inverse laplace I found v(t)= (1/2)(e^-2t) which I believe is the transient and Steady state = 0. Based on the initial condition v(0)=0, v,homogenous should equal zero. The input is a unit impulse (A=1) so...
I tried to do all 3 problems and I am not be able to get. Help. Thanks.
I
tried to do all 3 problems and I am not be able to get. Help.
Thanks.
dy 3. Given the differential equati . sketch the direction field, using isoclines, and & a few representative solution curves. Include any linear solutions find linear solutions (of the form y mx + b) find the general solution of the equation ( create a new dependent variable w = V. Then find how砮and 응 are related. Then write down & solve a differential...
So sorry for the long question, I am able to do a) and b) but not...
So sorry for the long question, I am able to do a) and b) but
not sure about the rest
2. Consider the DT LTI system defined by the impulse response h[n]-i[n]-?[n-1]. The input to this system is the signal rn: (a) Sketch hn and n (b) Determine the output of the system, y[n], using convolution. Sketch y[n (c) Determine the DTFTs H(ei) and X(e). Make fully-labeled sketches of the magn tudes of these DTFTs. (d) Recall that the discrete...
4. (2 marks) Determine (i) the Laplace transfer function, (ii) the impulse response function, and (ii) the input-output relationship (in the form of a linear constant-coefficient differential equation) for the causal LTI systems with the input-output pairs: a) x(t)-41(t) and y(t)-tu(t) + e-2tu(t). b) x() e2tu(t) andy(t)2u(t-4).
etermine the transfer function of the circuit where i^(t) is the output variable and v.ct) is the input variable. Generate the Bode plot showing the frequency response of the circuit. Only show the asymptotic plot of the terms making the transfer function as 5 H 10 k2 10 H 25 H 62.5 nF U) well as the composite plot for both the magnitude and phase.
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 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...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form 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 analysis should include the nature of the time response for each mode, as well as how...
Please help with this dynamics circuit
analysis.
Please show work and explain.
Thank you!!
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using time-domain and impedance methods. (a) Determine the differential equation for the relationship between eo(1) and e(1) (b) Find the transfer function E, (s)/E,(s) and determine the system time constant in terms of the circuit element values C, C, and R 17 2 (c) Find the transfer function E, (s)/E,...
I
tried to do all 3 problems and I am not be able to get. Help.
Thanks.
dy 3. Given the differential equati . sketch the direction field, using isoclines, and & a few representative solution curves. Include any linear solutions find linear solutions (of the form y mx + b) find the general solution of the equation ( create a new dependent variable w = V. Then find how砮and 응 are related. Then write down & solve a differential...
So sorry for the long question, I am able to do a) and b) but
not sure about the rest
2. Consider the DT LTI system defined by the impulse response h[n]-i[n]-?[n-1]. The input to this system is the signal rn: (a) Sketch hn and n (b) Determine the output of the system, y[n], using convolution. Sketch y[n (c) Determine the DTFTs H(ei) and X(e). Make fully-labeled sketches of the magn tudes of these DTFTs. (d) Recall that the discrete...
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