% general form of 2nd-order system zeta = 0.5; omega_n = 1; T1 = omega_n^2/(s^2 + 2*zeta*omega_n*s + omega_n^2) figure(2); bode(T1, 'b'); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % [Exercise 2] % Confirm the following by drawing Bode diagram of 2nd-order systems % - peak gain becomes higher as zeta becomes small % - frequency at peak gain is omega_n % - phase-lag is up to 180 degree % - rate of gain attenuation is 40dB/dec at high frequency %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%