An Investigation of Optimally Robust Structural Damping Through Fractional Order Feedback

Abstract

The purpose of this investigation was to determine if introducing fractional order states in a feedback system was beneficial to overall system performance. Fractional order differential equations have been used in the past primarily to model viscoelastic damping in structures. this study examined the use of fractional order differential equations in formulating a control algorithm with additional degrees of freedom. The algorithm presented is best suited for active structural damping. Including the fractional order time derivatives in the state allowed some additional flexibility in choosing relevant control parameters in the system. Optimization with respect to robustness was examined to determine a solution. Many additional questions arose in this inquiry as to the applications fractional order states in control systems.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1991
Accession Number
ADA243872

Entities

People

  • Mark T. Leonard

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Calculus
  • Closed Loop Systems
  • Complex Variables
  • Control Systems
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of State
  • Feedback
  • Materials
  • Mathematics
  • Modal Analysis
  • Models
  • Numbers

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Theoretical Analysis.