Dynamics of a current controller DC motor is given as follows:KimJm+bBwhere, ẞ denotes the shaft angle (output), i, is the motor current (input), K, is the torque constant, im is rotor inertia along the rotation axis, b, is the coefficient of viscous friction for the rotor.im= 0.48gm, bm = 0.2Nms/rad, K, = 0.96 Nm/AInitial conditions are zero.Obtain the transfer function of the system, Design a lead controller such that the static velocity error constant is improved by a factor of 13 when compared to the case of unit feedback. Use unit ramp for both cases. Moreover, gain marginshould be at least 10 dB and the phase margin should be at least 40 degrees. Clearly show all the necessary steps. (When computing max. phase lead, consider additional 34.33 degrees for safety)Using MATLAB's margin function, indicate the phase margin and the gain margin of the controlled system. Show this Bode plot, steps used.Using MATLAB/Simulink, simulate the controller. Compare it with respect to unit feedback. Use a 3-input scope to plot the outputs (unit feedback and your controller) and the step input. Show the Simulink model, scope and the parametersused.

% ParametersJm = 0.48; % kg*m^2bm = 0.2; % Nms/radKt = 0.96; % Nm/A% Transfer function of the…

Answered: Dynamics of a current controller DC…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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