Lead compensator design using root locus solved examples

1. How to design lead compensator using root locus matlab?
2. How do you find the angle deficiency?

How to design lead compensator using root locus matlab?

In MATLAB a phase-lead compensator in root locus form is implemented using the following commands (where Kc, z, and p are defined). s = tf('s'); C_lead = Kc*(s-z)/(s-p); We can interconnect this compensator C(s) with a plant P(s) using the following code.

How do you find the angle deficiency?

Definition: The angle deficiency at a vertex is 360^\circ minus (the angle sum at the vertex).