Active Damping of Vibration in Large Space Structures Using a Karhunen- Loeve Reduced Order Model

Abstract

Large space structures are difficult to control because of the high order of their mathematical models. The high order mathematical model makes the use of a reduced order model to control the structure desirable. The Karhunen- Loeve expansion along with Galerkin's method is used to generate a reduced order model. A control algorithm is achieved by applying linear quadratic regulator theory to the reduced order model. The Karhunen-Loeve basis functions or mode shapes must first be found to identify the reduced order model. Previous results have shown that in the limit as the structural damping approaches zero the Karhunen-Loeve mode shapes and natural mode shapes converge. Numerical techniques are applied to evaluate the structural damping required for convergence. Once the Karhunen-Loeve mode shapes are determined, the reduced order control model is applied to the full order system. The performance of various Karhunen-Loeve models is compared by measuring the modal energies in the controlled and uncontrolled modes. Keywords: Large space structure; Vibration damping. Theses.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1989
Accession Number
ADA208183

Entities

People

  • Terence M. Grogan

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programs
  • Computer Simulations
  • Computers
  • Control Systems
  • Convergence
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Engineering
  • Equations
  • Frequency
  • Large Space Structures
  • Mathematical Models
  • Models
  • Resonant Frequency
  • Space Systems

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Structural Dynamics.

Technology Areas

  • Space