Please give details. Thank you very much. An open-loop motor control system is s

Question

Please give details. Thank you very much.

An open-loop motor control system is shown in Fig. 4P-44. The potentiometer has a maximum range of 10 turns (20 pi rad). Find the transfer functions E0(S)/ Tm(s). The following parameters and variables are defined: theta m(t), the motor displacement; theta theta L.(t), the load displacement: Tm(t), the motor torque; Jm, the motor inertia; Bm, the motor viscous-friction coefficient; Bp, the potentiometer viscous-friction coefficient; e0(t), the output voltage; and K, the torsional spring constant.

Explanation / Answer

Tm(t)=Jmd*2((theta)m)/dt^2+Bm(d(theta)m(t)/dt+k((thetha)m)-((thetha)L)

applying laplace transform on both sides:

Tm(s)=(Jm*S^2+Bm*s+K)(Thetha)m(s)-K*(thetha)L(s)

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