WOLFRAM SYSTEM MODELER

Pendulum

An inverted pendulum connected to a cart.

Diagram

Wolfram Language

In[1]:=
SystemModel["DocumentationExamples.Modeling.InvertedPendulum.Components.Pendulum"]
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: 0.61

Type: Length (m)

Description: Pendulum length

rPendulum

Value: 0.005

Type: Radius (m)

Description: Pendulum radius

dPendulum

Value: 0.01

Type: RotationalDampingConstant (N⋅m⋅s/rad)

Description: Pendulum damper constant

rhoPendulum

Value: 7700

Type: Density (kg/m³)

Description: Pendulum material density

dSlider

Value: 2

Type: TranslationalDampingConstant (N⋅s/m)

Description: Pendulum slider constant

rhoCart

Value: 445

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 (3)

flange_a

Type: Flange_a

Description: One-dimensional translational flange (left, flange axis directed INTO cut plane)

x

Type: RealOutput

Description: 'output Real' as connector

phi

Type: RealOutput

Description: 'output Real' as connector

Components (11)

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

world

Type: World

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

center

Type: FixedTranslation

Description: Fixed translation of frame_b with respect to frame_a

Used in Examples (2)

InvertedPendulumModel

DocumentationExamples.Modeling.InvertedPendulum.Components

A controlled inverted pendulum system.

InvertedPendulumLQGI

DocumentationExamples.Modeling.InvertedPendulum

A controlled inverted pendulum system.