Root Locus
The root locus of a feedback(closed loop Control System) 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.
Advantages of Root Locus
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, overdamped or undamped according the the respective value of k. If:-
1.ROOTS ARE SAME AND REAL - CRITICALLY DAMPED SYSTEM
2.ROOTS ARE REAL AND DISTINCT- OVERDAMPED
3.ROOTS ARE PURELY IMAGINARY- MARGINAL STABLE SYSTEM
4.ROOTS ARE COMPLEX CONJUGATE PAIRS- UNDERDAMPED
5.Also it gives the limit of K for which it can be varied until the system becomes unstable.
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