Computing Balanced Realizations for Nonlinear Systems

Abstract

In 1993, Scherpen generalized the balanced truncation method to the nonlinear setting. However, the Scherpen procedure is not easily computable and has not yet been applied in practice. The authors offer methods, tools, and algorithms for computing the energy functions and coordinate transformations involved in the Scherpen theory and procedure for nonlinear balancing. They then apply their own approach to derive, for the first time, balanced representations of nonlinear state-space models.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADA438591

Entities

People

  • Andrew J. Newman
  • P.S.Krishnaprasad

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Computational Complexity
  • Computational Science
  • Control Systems
  • Decomposition
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Fokker Planck Equations
  • Hilbert Space
  • Markov Processes
  • Mechanics
  • Nonlinear Systems
  • Random Variables
  • Universities
  • White Noise

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Calculus or Mathematical Analysis
  • Maritime Combat Support and Expeditionary Logistics.

Technology Areas

  • Space