Question

In controlling the system ?? proportional represented by (?) = ? (?> 0)
(proportional) controller is preferred. Unit digits to the entrance of the system
Does this robot stay in balance when the function is applied? Explain it with using root-locus.

?(?) = 1/?^2(?+2)

Answer 1

The open-loop transfer function poles:

There is no poles in the right side of the plane

The point -1+j0 should not be encircled in the complex plane for the system to remain stable

Find the crossing with the real plane, by making the imaginary part of the transfer function 0.

To find the critical value of K that makes the system unstable:

The system is unconditionally stable, because no value of K can satisfy