Fractional State Feedback Control of Undamped and Viscoelastically-Damped Structures

Abstract

The purpose of this thesis is to demonstrate the analysis leading to the development of the fractional order state feedback control theory for structural control of both undamped and viscoelastically-damped structures. It is shown herein that there exists a relation between the traditional state vector that includes structural displacements and velocities, and the fractional state vector which includes fractional derivatives of structural responses. This relation permits the modification of linear quadratic regulator theory to include the application of fractional order states in the feedback control. The application of this theory leads to an alternative form of an observer.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1990
Accession Number
ADA220477

Entities

People

  • David L. Yang

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Air Force
  • Calculus
  • Control Systems
  • Control Theory
  • Differential Equations
  • Engineering
  • Equations Of Motion
  • Equations Of State
  • Modal Analysis
  • Moment Of Inertia
  • Physical Properties
  • Regulators
  • Resonant Frequency
  • Riccati Equation
  • Structural Response
  • Two Dimensional
  • Vibration

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Fire Suppression Systems Design.
  • Materials Science and Engineering.