WOLFRAM SYSTEM MODELER

InvertedPendulumWithInputForces

An 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.

Diagram

Wolfram Language

In[1]:=
SystemModel["DocumentationExamples.Control.InvertedPendulumWithInputForces"]
Out[1]:=

Information

Wolfram Language Documentation Examples

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.

Parameters (9)

lPendulum

Value: 0.85

Type: Length (m)

Description: Pendulum length

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

Connectors (4)

d

Type: RealInput

Description: Tangential force acting on the center of mass of the pendulum

f

Type: RealInput

Description: Horizontal force acting on the center of mass of the cart

phi

Type: RealOutput

Description: Angle of the pendulum with respect to the vertical

x

Type: RealOutput

Description: Horizontal position of the cart

Components (14)

world

Type: World

Description: World coordinate system + gravity field + default animation definition

cart

Type: BodyBox

Description: Rigid body with box shape. Mass and animation properties are computed from box data and density (12 potential states)

pendulumCylinder

Type: BodyCylinder

Description: Rigid body with cylinder shape. Mass and animation properties are computed from cylinder data and density (12 potential states)

pendulumJoint

Type: Revolute

Description: Revolute joint (1 rotational degree-of-freedom, 2 potential states, optional axis flange)

toMidCart

Type: FixedTranslation

Description: Fixed translation of frame_b with respect to frame_a

sliderConstraint

Type: Prismatic

Description: Prismatic joint (1 translational degree-of-freedom, 2 potential states, optional axis flange)

pendulumDamper

Type: Damper

Description: Linear 1D rotational damper

sliderDamper

Type: Damper

Description: Linear 1D translational damper

angleSensor

Type: AngleSensor

Description: Ideal sensor to measure the absolute flange angle

positionSensor

Type: PositionSensor

Description: Ideal sensor to measure the absolute position

center

Type: FixedTranslation

Description: Fixed translation of frame_b with respect to frame_a

force1

Type: Force

Description: External force acting on a drive train element as input signal

torque1

Type: Torque

Description: Input signal acting as external torque on a flange

gain1

Type: Gain

Description: Output the product of a gain value with the input signal