Modeling and control for stability and rotation velocity of a rotary inverted pendulum

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Abstract

The rotary inverted pendulum is a highly nonlinear, multivariable and dynamically unstable model. It is a fundamental and interesting problem in control theory. The objective of this paper is to: (i) derive the mechanical model of a rotary inverted pendulum by using Euler-Lagrange equation, (ii) design control systems for the rotary inverted pendulum with PID controller and pole placement method, and (iii) propose a simple method to accelerate the rotation speed. The effectiveness of these control techniques is shown in simulation results. An experimental prototype is also completed to test the control algorithms. With theory analysis and experiment results, it is verified that both controllers are good at maintaining the system stability while the PID method shows a better transient response. The proposed method also has a great advantage in accelerating the rotation velocity.

Original languageEnglish
Title of host publicationProceedings of the 2015 10th IEEE Conference on Industrial Electronics and Applications, ICIEA 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages955-960
Number of pages6
ISBN (Electronic)9781467373173
DOIs
StatePublished - 20 Nov 2015
Event10th IEEE Conference on Industrial Electronics and Applications, ICIEA 2015 - Auckland, New Zealand
Duration: 15 Jun 201517 Jun 2015

Publication series

NameProceedings of the 2015 10th IEEE Conference on Industrial Electronics and Applications, ICIEA 2015

Conference

Conference10th IEEE Conference on Industrial Electronics and Applications, ICIEA 2015
Country/TerritoryNew Zealand
CityAuckland
Period15/06/1517/06/15

Keywords

  • PID controller
  • Rotary inverted pendulum
  • pole placement
  • rotation velocity control

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