Improved Techniques for Modeling and Controlling Nonlinear Systems with Few Degrees of Freedom.

Abstract

New nonlinear signal processing and modeling techniques were examined. Three key issues formed the focus of the project: 1 the incorporation of symmetries into the modeling process. Such symmetries might be deduced from fundamental principles, or inferred from observations. The incorporation of such symmetries leads to simpler, more robust models, with fewer free parameters. 2 The design of coupling terms for synchronizing the model with driving signals from the system of interest This is the first analytical result of its kind, and gives sufficient conditions for guaranteeing that the model will synchronize. 3 The successful use of symbolic time series analysis techniques to perform parameter estimation for spatiotemporal (distributed) systems. It was shown that the symbol statistics from a single site time series could be used for the parameter fitting even when the underlying system was turbulent.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 19, 1996
Accession Number
ADA332543

Entities

People

  • E. R. Tracy
  • Reggie Brown

Organizations

  • College of William & Mary

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Chemical Reactions
  • Computational Science
  • Couplings
  • Data Sets
  • Differential Equations
  • Equations
  • Fittings
  • Internal Combustion Engines
  • Mathematics
  • Nonlinear Systems
  • Observation
  • Physical Properties
  • Physics
  • Sequences
  • Statistics
  • Symmetry
  • Time Series Analysis

Readers

  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference