Answer:
The characteristic equation is : [tex]s^{3} + 6s^{2} +5s +k_{p} = 0[/tex]
Step-by-step explanation:
The transfer function is c(s)/r(s)=kp/s(s+1)(s+5)+kp
The denominator of the transfer function is known as characteristic equation,
so the characteristic equation is : s(s+1)(s+5)+kp = 0
Multiplying the terms and adding respective terms, we get the characteristic equation as :
[tex]s^{3} + 6s^{2} +5s +k_{p} = 0[/tex]
