Root locus is used to calculate:
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This is a technique used as a stability criterion in the field of classical control theory developed by Walter R. Evans which can determine stability of the system. The root locus plots the poles of the closed loop transfer function in the complex s-plane as a function of a gain parameter (see pole–zero plot).
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Root locus is used to calculate relative stability.
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- We are using root locus to graph and graphically depict every conceivable site for the poles in the system on the s-plane.
- Under the influence of gain modifications, the various pole locations are obtained (proportional gain).
- The root locus method should result in a graph showing the locations of the system's poles for all possible gains K.
- The system is unstable when some, some, or all of D's (the denominator) roots are located in the unstable zone.
- The system is only slightly stable when one or more of the roots are in the barely stable area (oscillatory).
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