Question

Determine the stability of the systems whose characteristic equation are given
below.
(a) s
2+10s3+30s2+100s+25=0
(b) s
5+13s4+54s3+82s2+170s+330=0
(c) s
4+s3+5s2+4s+4=0

Answer 1

Answer:

if all the roots of characteristics equation exist to the left of the 's' plane, then control system is stable. if atleast one root of the characteristic equation exist to the right half of the 's'plane, the the control system is unstable