4. Consider the DC model system discussed in class with transfer function: 0(s) K -V(s) JLs+(JR+bL)s +bR+K; Suppose that
Posted: Sun May 15, 2022 7:10 pm
4. Consider the DC model system discussed in class with transfer function: 0(s) K -V(s) JLs+(JR+bL)s +bR+K; Suppose that the inductance Lis negligible (L =O). An experiment has been conducted, where the input voltage Vis set at a constant value of 100V. The motor speed is measured as the output y. Some of the test data are recorded as t = [0, 0.10, 0.20, 0.30, 0.60, 1.00. 20.00, 50.00), unit: second y = [0, 3.93, 6.30, 7.77, 9.50, 9.93, 10.00, 10.00), unit: rad/s a. Use these data to identify the motor torque constant Kt and friction coefficient b, given that the resistance R = 112, and motor inertia J=1 kgm? (10 pts) b. What is the 2% settling time of the system under step input? (10 pts)