What is root locus?

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Root locus starts from open loop pole(K=0) to open loop zero(K=INFINITY).

The main and the foremost advantage of root locus is to check the system behaviour by adjusting the value of gain K . The adjustment in the value of K will trace the roots accordingly on the R-H plane and will give the conditions for the system to be overdamped, underdamped, crictically damped according the the respective value of k. 

If,

ROOTS ARE SAME AND REAL - CRITICALLY DAMPED SYSTEM

ROOTS ARE REAL AND DISTINCT- OVERDAMPED

ROOTS ARE PURELY IMAGINARY- MARGINAL STABLE SYSTEM

ROOTS ARE COMPLEX CONJUGATE PAIRS- UNDERDAMPED

Also it gives the limit of K for which it can be varied until the system becomes unstable.

Advantage of root locus

  1. Root locus technique in control system is easy to implement as compared to other methods.
  2. With the help of root locus we can easily predict the performance of the whole system.
  3. Root locus provides the better way to indicate the parameters.

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