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 copyed by the tour underneath (V is the input voltage, the tail emf is e = Ke dO/dt, Ke is the emf fixed, Θ is the awry comcomlie of the motor body). The unreflective subsystem is copyed by Newtons jurisdiction (conservation J restraint inertia, b restraint damping relative, and T Kt i restraint motor torque, K is the torque fixed). Find a recite interinterinterval copy restraint the motor; allow the recites be O, dad, i in that dispose and allow Θ be the output.

    The electrical subsystem of a DC motor may be copyed by the tour underneath (V is the input voltage, the tail emf is e = K_e d theta/dt, Ke is the emf fixed, theta is the awry comcomlie of the motor body). The unreflective subsystem is copyed by Newton’s jurisdiction (conservation J restraint inertia, b restraint damping relative, and T = K_t i restraint motor torque, K_t is the torque fixed). Find a recite interinterinterval copy restraint the motor: allow the recites be theta, d theta/dt, i in that dispose and allow theta be the output.

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