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Linear Double Inverted Pendulum

Take the classic linear control problem to the next level

Electromechanical Control

Designing a controller that balances two links adds an extra challenge when compared to the single inverted pendulum system. The additional challenge of a second pendulum can be used to demonstrate advanced controls concepts, or as a basis for research.

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Product Details

The double inverted pendulum represents a complex challenge with real-world applications that include stabilizing the takeoff of a multi-stage rocket and modeling the human posture system.

  • Two pendulum sizes supplied: medium and long
  • High-resolution optical encoders to sense pendulum angle
  • Easy-connect cable and connectors
  • Fully compatible with MATLAB®/Simulink® and LabVIEW™
Mass of linear double pendulum assembly 0.364 kg
Medium pendulum mass (with T-fitting) 0.127 kg
Medium pendulum length (pivot to tip) 33.65 cm
Short pendulum mass (with T-fitting) 0.097 kg
Short pendulum length (pivot to tip) 20.0 cm
Mass of encoder hinge 0.141 kg
Pendulum encoder resolution (in quadrature) 4096 counts/rev
Modeling Topics
  • Derivation of dynamic model using Lagrange
  • State-space representation
  • Linearization
Control Topic
  • Linear-quadratic regulator (LQR)

The following additional components are required to complete your workstation, and are sold separately:

For Simulink

  • QUARC® add-on for MATLAB®/Simulink®
  • Linear Servo Base Unit
  • Quanser VoltPAQ-X1 linear voltage amplifier
  • One of the following DAQ devices:
    • Quanser Q8-USB
    • Quanser QPIDe

For LabVIEW

  • Quanser Rapid Control Prototyping (Q-RCP) Toolkit® add-on for NI LabVIEW™
  • Linear Servo Base Unit
  • Quanser VoltPAQ-X1 linear voltage amplifier
  • One of the following DAQ devices:
    • NI CompactRIO with two Quanser Q1-cRIO modules
    • Quanser Q8-USB
    • Quanser QPIDe

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