Question

Sketch the Nyquist plot based on the Bode plots for following system using MATLAB. Make sure it crosses the real axis at the right spot(correct number of -1 encirclements and goes off to infinity in the correct direction). Using the plot estimate the range of K for which system is stable, and qualitatively verify result by using sketch of a root locus plot.

GH(s)=K*(0.5s+1)*(s+1)/(10s+1)/(s-1)

Answer 1

The code to find Nyquist Plot and root locus the following code is written in MATLAB.

The figure is shown below:(figure with 'grid')

You can get this grid by right click on the figure and select grid option. You can also type grid after nyquist and root locus command to get grid in the figure.