WOLFRAM SYSTEM MODELER
InvertedPendulumWithInputForcesAn inverted pendulum connected to a cart. A force f acts on the center of mass of the cart while a force d acts on the center of mass of the pendulum. d is normal to the radial direction of the pendulum. |
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SystemModel["DocumentationExamples.Control.InvertedPendulumWithInputForces"]

This library contains models used in the documentation of system modeling functionality in Wolfram Language. These examples and this library can be explored in the Wolfram Language documentation.
| lPendulum |
Value: 0.85 Type: Length (m) Description: Pendulum length |
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| rPendulum |
Value: 0.005 Type: Radius (m) Description: Pendulum radius |
| dPendulum |
Value: 0 Type: RotationalDampingConstant (N⋅m⋅s/rad) Description: Pendulum damper constant |
| rhoPendulum |
Value: 7939.023 Type: Density (kg/m³) Description: Pendulum material density |
| dSlider |
Value: 0 Type: TranslationalDampingConstant (N⋅s/m) Description: Pendulum slider constant |
| rhoCart |
Value: 5600 Type: Density (kg/m³) Description: Cart material density |
| lCart |
Value: 0.1 Type: Length (m) Description: Cart length |
| hCart |
Value: 0.1 Type: Height (m) Description: Cart height |
| wCart |
Value: 0.1 Type: Length (m) Description: Cart width |
| d |
Type: RealInput Description: Tangential force acting on the center of mass of the pendulum |
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| f |
Type: RealInput Description: Horizontal force acting on the center of mass of the cart |
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| phi |
Type: RealOutput Description: Angle of the pendulum with respect to the vertical |
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| x |
Type: RealOutput Description: Horizontal position of the cart |
| world |
Type: World Description: World coordinate system + gravity field + default animation definition |
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| cart |
Type: BodyBox Description: Rigid body with box shape. Mass and animation properties are computed from box data and density (12 potential states) |
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| pendulumCylinder |
Type: BodyCylinder Description: Rigid body with cylinder shape. Mass and animation properties are computed from cylinder data and density (12 potential states) |
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| pendulumJoint |
Type: Revolute Description: Revolute joint (1 rotational degree-of-freedom, 2 potential states, optional axis flange) |
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| toMidCart |
Type: FixedTranslation Description: Fixed translation of frame_b with respect to frame_a |
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| sliderConstraint |
Type: Prismatic Description: Prismatic joint (1 translational degree-of-freedom, 2 potential states, optional axis flange) |
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| pendulumDamper |
Type: Damper Description: Linear 1D rotational damper |
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| sliderDamper |
Type: Damper Description: Linear 1D translational damper |
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| angleSensor |
Type: AngleSensor Description: Ideal sensor to measure the absolute flange angle |
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| positionSensor |
Type: PositionSensor Description: Ideal sensor to measure the absolute position |
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| center |
Type: FixedTranslation Description: Fixed translation of frame_b with respect to frame_a |
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| force1 |
Type: Force Description: External force acting on a drive train element as input signal |
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| torque1 |
Type: Torque Description: Input signal acting as external torque on a flange |
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| gain1 |
Type: Gain Description: Output the product of a gain value with the input signal |