Near-Optimal Feedback Stabilization of a Class of Nonlinear Singularly Perturbed Systems.

Abstract

A new series expansion method is developed for a class of nonlinear singularly perturbed optimal regulator problems. The resulting feedback control is near-optimal and can stabilize essentially nonlinear systems when linearized models provide no stability information. The stability domain is shown to include large initial conditions of the fast variables. The control law is implemented in two-time scales, with the feedback from the fast state variables depending on slow state variables as parameters. The coefficients of the formal expansions of the optimal value function are obtained from equations involving only the slow variables. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA056536

Entities

People

  • Joe H. Chow
  • Petar V. Kokotovic

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Closed Loop Systems
  • Coefficients
  • Composite Materials
  • Differential Equations
  • Electrical Engineering
  • Elimination
  • Equations
  • Feedback
  • Illinois
  • Lyapunov Functions
  • Nonlinear Systems
  • Power Series
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.