Nonlinear System Design: Adaptive Feedback Linearization with Unmodeled Dynamics

Abstract

The main goal of this research is to develop a unified geometric- asymptotic-adaptive methodology for feedback design of nonlinear control systems. Such a methodology is needed because the existing differential geometric results are restrictive and often violated by small modeling errors. Effects of these errors can be analyzed asymptotically by singular perturbation methods, which however, are still lacking a clear geometric interpretation. Neither geometric, nor perturbational problem formulations can cope with large parametric uncertainty, for which an adaptive approach seems suitable. Conversely, both geometric and asymptotic techniques are to be merged into a methodology which eliminates their individual shortcomings.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1991
Accession Number
ADA248484

Entities

People

  • Peter V. Kokotovic

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Adaptive Systems
  • Closed Loop Systems
  • Control Systems
  • Control Systems Engineering
  • Control Theory
  • Differential Equations
  • Dynamics
  • Engineering
  • Equations
  • Estimators
  • Feedback
  • Gain
  • High Gain
  • Linear Systems
  • Lyapunov Functions
  • Nonlinear Systems
  • Observers

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Control Systems Engineering.