Proper Orthogonal Decomposition Based Control of Transverse Beam Vibrations: Experimental Implementation

Abstract

LQG compensator control of transverse vibrations was implemented on an aluminum cantilevered beam in a "smart structure" paradigm. The beam was mounted with two self-sensing, self-actuating piezoceramic patches. The Euler-Bernoulli beam equation was discretized via a Galerkin type approximation (referred to as the full order model). To reduce the size of the resulting finite dimensional approximating system, the Proper Orthogonal Decomposition (POD) was employed as a reduced basis method. A reduction of dimension from 34 to 2 was obtained through the model reduction technique. Feedback control based on the reduced order system was implemented in real time using a dSpace DS1103 control system. Experimental results indicate that POD based control achieves comparable control attenuation with full order model based control.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1999
Accession Number
ADA454479

Entities

People

  • H. T. Tran
  • H. Thomas Banks
  • R. C. Del Rosario

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Control Systems
  • Decomposition
  • Equations
  • Information Operations
  • Instructions
  • North Carolina
  • Transverse
  • Vibration

Fields of Study

  • Physics

Readers

  • Linear Algebra
  • Robotics and Automation.
  • Structural Dynamics.