Find the frequency and gain K for which the Root locus crosses the imaginary axis. For what range of K is the system stable.

Mumbai University > Electronics Engineering > Sem 4 > Linear Control Systems

Topic: Stability Analysis in Time Domain

Difficulty : High

Marks : 10M

Given => G(s)H(s) = $\frac{k(s+3)}{s(s+1)(s+2)(s+4)}$

step 1=> obtain trial no of losi,

Here, p=poles=4

z= Zeros = 1

No of losi = p-z = 3

step 2=> Draw poles zeros poles are

s=0,-1,-2,-4

zeros are

s=-3

step 3=> Real axis losi=>

present between,

-$\infty$<$\sigma$<-4

-3<$\sigma$<-2

-1<$\sigma$<0</p>

step 4=> calculate number …