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Synchronization control of parallel dual inverted pendulums

  • Dongfang Zhu*
  • , Di Zhou
  • *Corresponding author for this work
  • School of Astronautics, Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A partially linearized model for the underactuated Euler-Lagrangian system composed of two single linear inverted pendulums is obtained based on the feedback linearization method. Then, the small deviation linearization technique is applied to the partially linearized model to obtain the linear model. For the linear model which is completely controllable, we propose a method to construct a synchronization error signal between the two inverted pendulum systems to guarantee that an augmented system, which contains the original state variables of the two subsystems and the synchronization error, is still completely controllable. For the augmented system an optimal synchronization controller is designed. Experimental results show that the optimal synchronization control system has realized a stable balance of the two inverted pendulums and a precise location of the two cars while they move synchronously. The effect of the optimal synchronization control scheme is better than the usual master-slave synchronization scheme.

Original languageEnglish
Title of host publicationProceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008
Pages1486-1490
Number of pages5
DOIs
StatePublished - 2008
Externally publishedYes
EventIEEE International Conference on Automation and Logistics, ICAL 2008 - Qingdao, China
Duration: 1 Sep 20083 Sep 2008

Publication series

NameProceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008

Conference

ConferenceIEEE International Conference on Automation and Logistics, ICAL 2008
Country/TerritoryChina
CityQingdao
Period1/09/083/09/08

Keywords

  • Inverted pendulum
  • Optimal control
  • Synchronization control

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