Homework: The open-loop transfer function of DC Motor is shown in equations (1), where the rotational speed is considered as the output and the armature voltage as the input, (J) is the moment of inertia of the rotor, (b) is the viscous friction constant of the motor, (La) is the electrical inductance, (Ra) is the electrical resistance and (V) is the voltage source, with a setpoint of 2000 rpm e(s) K₁ G(s)=(s) = (j.s+b)(La.s+ Ra) + K₁ × Kɩ rad/sec, sec (1) Parameters Torque constant (Kt) Value Electromotive force constant (Kb) Electrical resistance (Ra) Viscous friction constant of the motor (b) 0.008 N.m/rad/s Electrical inductance (La) Moment of inertia of the rotor (J) 0.5 N.m/A 1.25 V/rad/s 502 0.2 H 0.1 kg.m² Table 1: Parameters of the DC motor Design Speed Control of DC Motor Using PID Controller, and then obtain Overshoot, Rise time, Steady state error, and Settling time

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Homework:
The open-loop transfer function of DC Motor is shown in equations (1),
where the rotational speed is considered as the output and the armature
voltage as the input, (J) is the moment of inertia of the rotor, (b) is the
viscous friction constant of the motor, (La) is the electrical inductance, (Ra)
is the electrical resistance and (V) is the voltage source, with a setpoint of
2000 rpm
e(s)
K₁
G(s)=(s) = (j.s+b)(La.s+ Ra) + K₁ × Kɩ
rad/sec,
sec
(1)
Parameters
Torque constant (Kt)
Value
Electromotive force constant (Kb)
Electrical resistance (Ra)
Viscous friction constant of the motor (b) 0.008 N.m/rad/s
Electrical inductance (La)
Moment of inertia of the rotor (J)
0.5 N.m/A
1.25 V/rad/s
502
0.2 H
0.1 kg.m²
Table 1: Parameters of the DC motor
Design Speed Control of DC Motor Using PID Controller, and then obtain
Overshoot, Rise time, Steady state error, and Settling time
Transcribed Image Text:Homework: The open-loop transfer function of DC Motor is shown in equations (1), where the rotational speed is considered as the output and the armature voltage as the input, (J) is the moment of inertia of the rotor, (b) is the viscous friction constant of the motor, (La) is the electrical inductance, (Ra) is the electrical resistance and (V) is the voltage source, with a setpoint of 2000 rpm e(s) K₁ G(s)=(s) = (j.s+b)(La.s+ Ra) + K₁ × Kɩ rad/sec, sec (1) Parameters Torque constant (Kt) Value Electromotive force constant (Kb) Electrical resistance (Ra) Viscous friction constant of the motor (b) 0.008 N.m/rad/s Electrical inductance (La) Moment of inertia of the rotor (J) 0.5 N.m/A 1.25 V/rad/s 502 0.2 H 0.1 kg.m² Table 1: Parameters of the DC motor Design Speed Control of DC Motor Using PID Controller, and then obtain Overshoot, Rise time, Steady state error, and Settling time
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