Control of Nonlinear Distributed Parameter Systems With Application to Flow Control

Abstract

The goal of this project was to put the intuitive idea of gain-scheduling on a rigorous foundation for a class of nonlinear, distributed-parameter systems. This involved a study of the existence and characterization of the ideal, infinite-dimensional, feedback control. Since in most applications the feedback function cannot be computed in closed form it was necessary to study the convergence of approximate feedback functions, based on increasingly higher order finite-dimensional approximations of the system, to the ideal function. Finally, the results were applied to Burgers' Equation, which can be viewed as a low-order approximation to a wide variety of physical phenomena, including viscous compressible flow.

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Document Details

Document Type
Technical Report
Publication Date
Mar 30, 1992
Accession Number
ADA250212

Entities

People

  • Antoni S. Banach
  • William T. Baumann

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Applied Mathematics
  • Compressible Flow
  • Convergence
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Feedback
  • Flow
  • Hypervelocity Flow
  • Linear Systems
  • Mathematics
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Partial Differential Equations
  • Scheduling (Production)
  • Systems Engineering

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)