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

The characteristic equation is :

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 :

i dont know if you cant find a way its best to actually add all of them start from 105 tho

step-by-step explanation: