Root locus rules

1. What are the rules of root locus?
2. What is the property of root locus?
3. How do you know if a root locus is stable?
4. What is root locus with example?

What are the rules of root locus?

If a branch on the real axis lies between a pair of poles, the root locus must break away from the real axis somewhere between the poles. Similarly, if a branch on the real axis lies between a pair of zeros, there must be an entry point between that pair of zeros.

What is the property of root locus?

Property 1. The root locus has as many branches as the number of poles of the open loop transfer function K1 G1(s). Each branch starts at a pole of function G1(s) and ends in a zero of function G1(s) or at the infinity.

How do you know if a root locus is stable?

Interpreting a Root Locus Diagram

If the real components of all poles are negative, then the system is said to be stable for that value of Kc. If the real component of the pole is positive, the system is unstable for that value of Kc, meaning the output signal will diverge from the set point.

What is root locus with example?

Definition. The root locus of a feedback system is the graphical representation in the complex s-plane of the possible locations of its closed-loop poles for varying values of a certain system parameter. The points that are part of the root locus satisfy the angle condition.