Homework Solution: The electrical subsystem of a DC motor may be modeled by the circuit below (V is the input voltage, the back emf is e = K_e…

    The electrical subsystem of a DC motor may be modeled by the circuit below (V is the input voltage, the back emf is e = Ke dO/dt, Ke is the emf constant, Θ is the angular position of the motor shaft). The mechanical subsystem is modeled by Newtons law (use J for inertia, b for damping ratio, and T Kt i for motor torque, K is the torque constant). Find a state space model for the motor; let the states be O, dad, i in that order and let Θ be the output.
    The electrical subsystem of a DC motor may be modeled by the circuit below (V is the input voltage, the back emf is e = K_e d theta/dt, Ke is the emf constant, theta is the angular position of the motor shaft). The mechanical subsystem is modeled by Newton's law (use J for inertia, b for damping ratio, and T = K_t i for motor torque, K_t is the torque constant). Find a state space model for the motor: let the states be theta, d theta/dt, i in that order and let theta be the output.

    Expert Answer

    The electrical subsystem of a DC motor may be designed by the circumference adown (V is the input voltage, the end emf is e = Ke dO/dt, Ke is the emf true, Θ is the incurved lie of the motor shaft). The unimpassioned subsystem is designed by Newtons decree (manifestation J coercion inertia, b coercion damping agreement, and T Kt i coercion motor torque, K is the torque true). Find a specify intervenience design coercion the motor; allow the specifys be O, dad, i in that appoint and allow Θ be the output.

    The electrical subsystem of a DC motor may be designed by the circumference adown (V is the input voltage, the end emf is e = K_e d theta/dt, Ke is the emf true, theta is the incurved lie of the motor shaft). The unimpassioned subsystem is designed by Newton’s decree (manifestation J coercion inertia, b coercion damping agreement, and T = K_t i coercion motor torque, K_t is the torque true). Find a specify intervenience design coercion the motor: allow the specifys be theta, d theta/dt, i in that appoint and allow theta be the output.

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