Quadratic Optimal Control Theory for Viscoelastically Damped Structures Usinga Fractional Derivative Viscoelasticity Model

Abstract

The objective of this thesis is to develop a control law for structures incorporating both passive damping via viscoelastic materials modelled by a fractional calculus stress strain law and active damping by applied forces and torques. To achieve this, quadratic optimal control theory is modified to accommodate systems with fractional derivatives in the state vector. Specifically, linear regulator theory is modified. Theses.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA206008

Entities

People

  • Richard N. Walker

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Closed Loop Systems
  • Complex Numbers
  • Computational Science
  • Control Theory
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Geometry
  • Mechanics
  • Modulus Of Elasticity
  • New York
  • Resonant Frequency
  • Riccati Equation
  • Shear Modulus
  • Space Systems
  • Transfer Functions

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Robotics and Automation.
  • Structural Dynamics.