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where :math:`V` is the applied voltage, :math:`d` is the displacement (position) of the drive, :math:`\dot{d}` is its velocity, and :math:`\ddot{d}` is its acceleration. This is the model for a permanent-magnet dc motor with no loading other than friction and inertia, as mentioned above, and is an accurate model for flywheels, turrets, and horizontal linear sliders.
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#### Elevator Identification
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The elevator identification tool determines the best-fit parameters for the equation:
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.. math:: V = kG + kS \cdot sgn(\dot{d}) + kV \cdot \dot{d} + kA \cdot \ddot{d}
where :math:`V` is the applied voltage, :math:`d` is the displacement (position) of the elevator, :math:`\dot{d}` is its velocity, and :math:`\ddot{d}` is its acceleration. The constant term (:math:`kG`) is added to correctly account for the effect of gravity.
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where :math:`V` is the applied voltage, :math:`d` is the displacement (position) of the elevator, :math:`\dot{d}` is its velocity, and :math:`\ddot{d}` is its acceleration. The constant term (:math:`K_g`) is added to correctly account for the effect of gravity.
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#### Arm Identification
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The arm identification tool determines the best-fit parameters for the equation:
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.. math:: V = kG \cdot cos(\theta) + kS \cdot sgn(\dot{\theta}) + kV \cdot \dot{\theta} + kA \cdot \ddot{\theta}
where :math:`V` is the applied voltage, :math:`\theta` is the angular displacement (position) of the arm, :math:`\dot{\theta}` is its angular velocity, and :math:`\ddot{\theta}` is its angular acceleration. The cosine term (:math:`kG`) is added to correctly account for the effect of gravity.
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where :math:`V` is the applied voltage, :math:`\theta` is the angular displacement (position) of the arm, :math:`\dot{\theta}` is its angular velocity, and :math:`\ddot{\theta}` is its angular acceleration. The cosine term (:math:`K_g`) is added to correctly account for the effect of gravity.
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