Chapter 9 Homework: Determine a state variable model, {A,b,c,d} for the circuit shown. u(t) is the input and y(t) is the output. Determine a state variable model, {A,b,c,d} for the circuit shown. u(t) is the input and y(t) is the output. For the circuit below, Vin(t) Vout(t) Determine a state variable model, {A,b,c,d} if is the input and is the output. Vout(t) Simulate and plot (using MATLAB or Octave) the response of the circuit if R = 470 , C = Vin(t) = 4u0(t), u0(t) 1F, and the input where is the unit step function. From your plot, estimate the time constant of the circuit. Estimate the time constant of the circuit from the capacitance and equivalent resistance seen by the capacitor. Compare this value to the time constant estimated from the simulated response. Comment on any differences. For the circuit below, Vin(t) Vout(t) Determine a state variable model, {A,b,c,d} if is the input and is the output. Vout(t) Simulate and plot (using MATLAB or Octave) the response of the circuit to an input Vin(t) = 3u0(t), u0(t) where is the unit step function. From your plots, estimate the maximum overshoot and rise time of the response. Determine an input-output relationship for the circuit and estimate the natural frequency, Vout(t→∞). damping ratio, and final value From these, estimate the maximum overshoot and rise time of the response. Compare these values to those measured from your simulation. Comment on any differences. For the circuit below, Vin(t) Vout(t) Determine a state variable model, {A,b,c,d} if is the input and is the output. Vin(t) = Simulate and plot (using MATLAB or Octave) the response of the circuit to an input 2u0(t), u0(t) where is the unit step function.
Chapter 9 Homework: Determine a state variable model, {A,b,c,d} for the circuit shown. u(t) is the input and y(t) is the output. Determine a state variable model, {A,b,c,d} for the circuit shown. u(t) is the input and y(t) is the output. For the circuit below, Determine a state variable model, {A,b,c,d} if Vin(t) is the input and Vout(t) is the output. Simulate and plot (using MATLAB or Octave) the response Vout(t) of the circuit if R = 470 , C = 1F, and the input Vin(t) = 4u0(t), where u0(t) is the unit step function. From your plot, estimate the time constant of the circuit. Estimate the time constant of the circuit from the capacitance and equivalent resistance seen by the capacitor. Compare this value to the time constant estimated from the simulated response. Comment on any differences. For the circuit below, Determine a state variable model, {A,b,c,d} if Vin(t) is the input and Vout(t) is the output. Simulate and plot (using MATLAB or Octave) the response Vout(t) of the circuit to an input Vin(t) = 3u0(t), where u0(t) is the unit step function. From your plots, estimate the maximum overshoot and rise time of the response. Determine an input-output relationship for the circuit and estimate the natural frequency, damping ratio, and final value Vout(t→∞). From these, estimate the maximum overshoot and rise time of the response. Compare these values to those measured from your simulation. Comment on any differences. For the circuit below, Determine a state variable model, {A,b,c,d} if Vin(t) is the input and Vout(t) is the output. Simulate and plot (using MATLAB or Octave) the response of the circuit to an input Vin(t) = 2u0(t), where u0(t) is the unit step function.
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