Howtosignalprocessing
December 2022. In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a system change with variation of a certain system parameter, commonly a gain within a feedback system.
- What is root locus and why is it useful?
- What are the applications for root locus?
- How root locus is useful for control system design?
- What are the two conditions of a root locus?
What is root locus and why is it useful?
The root locus method allows us to determine the traces of the poles in the s-plane as any one coefficient of the closed-loop system (for example the controller gain) is varied.
What are the applications for root locus?
The Root Locus Plot technique can be applied to determine the dynamic response of the system. This method associates itself with the transient response of the system and is particularly useful in the investigation of stability characteristics of the system.
How root locus is useful for control system design?
Root locus design is a common control system design technique in which you edit the compensator gain, poles, and zeros in the root locus diagram. The root locus technique consists of plotting the closed-loop pole trajectories in the complex plane as k varies.
What are the two conditions of a root locus?
Angle Condition and Magnitude Condition
The points on the root locus branches satisfy the angle condition. So, the angle condition is used to know whether the point exist on root locus branch or not. We can find the value of K for the points on the root locus branches by using magnitude condition.
