Sample problem 1: Consider the transfer function G(s)= CO 34 R(s)(s+2)(s+10s+34) (a) Plot the poles of G(s)on the complex plane (b) Find an approximate first or second order transfer fucntion (c) Sketch the time response of the approximate transfer function due to a step input. 34 (b) G(s) (s+2)s2+10s+34)(12s+1)( 34 S-+ 34 s+1)1,s+1s+2 c)C(s)≈ →C(1)≈(1-e2) ss+22 s 5+2(1 ) 2 1 ) ( ) 2 1 1 ( 2 1 2 1 1 ( ) ( ) 2 1 1 2 1 2 1 1) 34 10 34 1)( 1 2 ( 1 2 1 ( 2)( 10 34) 34 ( ) ( ) 2 2 2 t C t e s s s s c C s s s s s s s s s b G s −   − + = − +  + = +  + + + = + + + =