Design of a Phase Advance Controller for a DC Motor: Consider a speed control system of a DC motor used in an industrial application. The DC motor is used to control the speed of a conveyor on a production line. The goal is to design a phase advance controller to improve the performance of the speed control system. system data DC motor blueprint: G(s) = K / ( s * ( T * s + 1) ) , where K = 0.5 and T = 0.1 seconds Performance specs: Rise time (t_r) ≤ 0.25 seconds Maximum Overdrive (M_p) ≤ 6 % Formulas: In the photo Exercise steps: 1 - Determine the characteristics of the uncontrolled system, such as damping rate (Ç) and natural frequency (w_n), from the transfer function G(s) of the DC motor. 2 - Based on the performance specifications, find the desired damping ratio (Ç_desired) and the desired natural frequency (w_n_desired). 3 Determine the desired pole 4 - Design the controller with phase advance in the time domain, using the transfer function G = K * (s + a) / (s + b). 5 - Implement the controller in the DC motor speed control system and run simulations to verify that the performance specifications are met. 6 - Analyze the simulation results and verify that the system controlled with the phase advance controller meets the rise time and overshoot requirements
Design of a Phase Advance Controller for a DC Motor: Consider a speed control system of a DC motor used in an industrial application. The DC motor is used to control the speed of a conveyor on a production line. The goal is to design a phase advance controller to improve the performance of the speed control system.
system data
DC motor blueprint: G(s) = K / ( s * ( T * s + 1) ) , where K = 0.5 and T = 0.1 seconds
Performance specs:
Rise time (t_r) ≤ 0.25 seconds
Maximum Overdrive (M_p) ≤ 6 %
Formulas: In the photo
Exercise steps:
1 - Determine the characteristics of the uncontrolled system, such as damping rate (Ç) and natural frequency (w_n), from the transfer function G(s) of the DC motor.
2 - Based on the performance specifications, find the desired damping ratio (Ç_desired) and the desired natural frequency (w_n_desired).
3 Determine the desired pole
4 - Design the controller with phase advance in the time domain, using the transfer function G = K * (s + a) / (s + b).
5 - Implement the controller in the DC motor speed control system and run simulations to verify that the performance specifications are met.
6 - Analyze the simulation results and verify that the system controlled with the phase advance controller meets the rise time and overshoot requirements
Step by step
Solved in 8 steps with 17 images
