A PDE-based approach to formation control design for a large vehicular platoon

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Abstract

This paper considers the problem of formation control design for a large platoon of identical vehicles, where the dynamics of each vehicle is described by a fully actuated double integrator. The main objective of this paper is to design a formation controller for the vehicular platoon under a nearest-neighboring communication topology maintaining a desired formation. Partial differential equations (PDEs) of the second-order time derivative are employed to approximately describe the closed-loop collective dynamics of the platoon. In the light of mathematical tools for analyzing PDE, a simple but effective design method has been developed based on the obtained PDE model, and presented in term of spatial algebraic linear matrix inequalities (SALMIs) and LMIs. Finally, some simulation results are given to verify the effectiveness of the suggested formation control design methods.

Original languageEnglish
Title of host publicationProceedings - 2015 Chinese Automation Congress, CAC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1129-1134
Number of pages6
ISBN (Electronic)9781467371896
DOIs
StatePublished - 13 Jan 2016
Externally publishedYes
EventChinese Automation Congress, CAC 2015 - Wuhan, China
Duration: 27 Nov 201529 Nov 2015

Publication series

NameProceedings - 2015 Chinese Automation Congress, CAC 2015

Conference

ConferenceChinese Automation Congress, CAC 2015
Country/TerritoryChina
CityWuhan
Period27/11/1529/11/15

Keywords

  • formation control
  • partial differential equation (PDE)
  • spatial algebraic linear matrix inequality (SALMI)
  • vehicular platoon

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