Question

Using pid controler closed-loop transfer function c(s)/r(s)=kp/s(s+1)(s+5)+kp b) the characteristic equation for the closed-loop system is

Answer 1

Answer:

The characteristic equation is : $s^{3} + 6s^{2} +5s +k_{p}  = 0$

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 :

$s^{3} + 6s^{2} +5s +k_{p} = 0$