Please answer all the parts A transfer function bode plots are shown below. Answ
ID: 1841888 • Letter: P
Question
Please answer all the parts
A transfer function bode plots are shown below. Answer the following questions; please draw the appropriate lines as necessary and show your work: What is the gain margin in dB? Also, convert back from dB. G.M. = ... dB; G.M ... What is the phase margin in degrees? P.M. ... What is the ultimate gain K_cu (not in dB) and ultimate period T_u (seconds) K_cu ... and frequency omega_u (rad/s)? omega_u ... (rad/s); T_u ... (s) What would be a proportional only controller gain to have a gain margin of 10 dB? Gain ... dB (Refer to Handout 22) How should a PI controller be tuned to have a quarter decay ratio response for the unity feedback system consisting of the plant and the controller? (Write K_c and tau_1.)Explanation / Answer
Gain Margin: Greater will the gain margin greater will be the stability of the system. It refers to the amount of gain, which can be increased or decreased without making the system unstable. It is usually expressed in dB. = 8db Phase Margin: Greater will the phase margin greater will be the stability of the system. It refers to the phase which can be increased or decreased without making the system unstable. It is usually expressed in phase. = 7phase ultimate gain is that the curve crosses -180 phase that is kcu = 101.4 Tu=79200 sec ultimate time period at which the curve changes increment or decrement in phase ultimate frequency wu = 10^-1 is at which the curve has at its max phase proportional only controlar gain is 10^0 constant curve value at 10bd from above figure constant kc has a slope of zero degree for decade