Control of the continuum model of a large flexible space structure

Armaghan Salehian, T. Michael Seigler, Daniel J. Inman

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

10 Citations (SciVal)

Abstract

An analytical approach is presented here to develop a continuum model of a space radar antenna and the truss structure for the purpose of the control and vibration suppression. Kinetic and potential energy expressions are given for the equivalent homogenized 1-D model. Hamilton's principle is applied to find the governing partial differential equations for this structure. The equations for bending are similar to an extended Timoshenko beam model. A Linear, Quadratic, Regulator (LQR) problem is solved to find the optimal solution for feedback control design of the distributed parameter model. The control force designed this way is applied to a Finite Element Model (FEM) of the truss structure for the purpose of validation. Results from the FEM are shown to be in good agreement with the distributed parameter model.

Original languageEnglish
Title of host publicationProceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Aerospace Division
DOIs
StatePublished - 2006
Event2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Chicago, IL, United States
Duration: Nov 5 2006Nov 10 2006

Publication series

NameAmerican Society of Mechanical Engineers, Aerospace Division (Publication) AD
ISSN (Print)0733-4230

Conference

Conference2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006
Country/TerritoryUnited States
CityChicago, IL
Period11/5/0611/10/06

Keywords

  • Continuum modeling
  • Control design
  • Large space structure
  • Truss

ASJC Scopus subject areas

  • Mechanical Engineering
  • Space and Planetary Science

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