Nyquist stability analysis of a type 0 system

To perform a Nyquist stability analysis, consider a simple type 0 system with the open-loop transfer function:

as shown in the diagram below.

To generate the Nyquist plot

1.    Create the above diagram using a const, transferFunction, and plot block.

2.    Enter the following polynomial coefficients to the transferFunction block:

Numerator: 1

Denominator: 1 1

Note: Always leave spaces between coefficient values.

3.    Choose System > Go, or click  in the toolbar to simulate the diagram.

4.    Select the transferFunction block.

5.    Choose Analyze > Nyquist Response.

The Nyquist plot is displayed.

6.    Drag on its borders to adjust its size.

The Nyquist plot for this system is a circle, with the real part of GH(s) on the horizontal axis and the imaginary part of GH(s) on the vertical axis. On this plot, the origin represents GH(j∞) and the point of intersection with the horizontal axis (Re(GH) = 1) represents GH(j0).