Lagrangian-Laplace dynamic mechanical analysis and modeling of inverted pendulum

Michael C. Agarana, Esther T. Akinlabi

Research output: Contribution to journalConference articlepeer-review


As a result of increase in application of robotics in medicine, agriculture, Military, Industries Explorations and Entertainment, there has been an increase in inverted pendulum analysis as regards its motion, stability, and control. This study is concerned with the development of equation of motion and its analysis by adopting the Lagrangian and Laplace transform method respectively. The Lagrangian was used to develop the models. The resulting models were solved analytically adopting Laplace transform method. Results obtained are consistent with the ones in the literature. Specifically, the angular displacement was found to be periodic.

Original languageEnglish
Pages (from-to)711-718
Number of pages8
JournalProcedia Manufacturing
Publication statusPublished - 2019
Event2nd International Conference on Sustainable Materials Processing and Manufacturing, SMPM 2019 - Sun City, South Africa
Duration: 8 Mar 201910 Mar 2019


  • Dynamic Analysis
  • Inverted Pendulum
  • Lagragian
  • Laplace Transform
  • Modeling

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Artificial Intelligence


Dive into the research topics of 'Lagrangian-Laplace dynamic mechanical analysis and modeling of inverted pendulum'. Together they form a unique fingerprint.

Cite this