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The step response of a certain dynamic system is described by the following function: x(t) = 1 - e^sigma t cos(omega_dt) - 0.2e^-sigma t sin(omega_dt)
The step response of a certain dynamic system is described by the following function: x(t) = 1 - e^sigma t cos(omega_dt) - 0.2e^-sigma t sin(omega_dt) Plot this response for omega_d = 4 and three different values of sigma: sigma = [1, 2, 5] Plot the sigma = 1 response with a solid blue line, the sigma = 2 response with a dashed red line, and sigma = 5 response with a dash-dot magenta line. Use a line width of 2 for each curve. Add the text annotation as shown below. Use a bold 12 point font, and use a white background color for the annotation, so that the grid lines don't interfere with the text. Set the tick values along the vertical axis to be exactly as shown below. Add a legend, title, and axis labels, as shown. Use a bold font for the title. Your plot should look exactly like the plot shown below
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