9.10 In Figure P9.10 the Bode plots of an unknown system are given. Select a transfer function that can be used to best describe the given Bode diagrams among the following (explain qualitatively and quantitatively your selection): Figure P9.10 10-3 10-2 10-1 100 101 102 103 10-2 100 102 104 Bode diagrams Amplitude Ratio Phase (deg) 10-3 10-2 10-1 100 101 102 103 -300 -250 -200 -150 -100 -50 Frequency (rad/sec) (a) = + + G s k s s ( ) ( 1) ( 1) 1 2 (b) = + + G s k s s ( ) ( 1) ( 1) 2 2 (c) = + + G s k s s s ( ) ( 1) ( 1) 3 (d) = + + G s k s s s ( ) ( 1) ( 1) 4 where k > 0, T > 0 and > 0 in all cases. For the transfer function selected, estimate the values of the parameters k, T and

9.10 In Figure P9.10 the Bode plots of an unknown system are given. Select a transfer function that can be used to best describe the given Bode diagrams among the following (explain qualitatively and quantitatively your selection): Fig (a) G1(s)=k(s+1)2(Ts+1) (b) G2(s)=k(s+1)2(Ts+1) (c) G3(s)=ks(s+1)(Ts+1) (d) G4(s)=ks(s+1)(Ts+1) where k>0,T>0 and >0 in all cases. For the transfer function selected, estimate the values of the parameters k,T and