Consider an unityfeedback system for which the forwardpath t

Consider an unity-feedback system for which the forward-path transfer functions is G(s) = s + 1/s^2 (s + 5) Determine the type of the system.

Solution

T(S)=G(S)/1+G(S)H(S),

SINCE H(S)=1 THEREFORE,

T(S)=S+1/S²(S+5)/1+S+1/S²(S+5),

T(S)=S+1/S²(S+5)+S+1,

TYPE OF A TRANSFER FUNCTION IS THE HIGHEST DEGREE OF S IN DENOMINATOR

THEREFORE IT IS I.E,TYPE3