A Modified Minimum Energy Regulator Problem and Feedback Stabilization of a Linear System.

Abstract

This paper considers a feedback control law for linear time-varying and time invariant systems based on a modified minimum energy problem with fixed terminal constraints. The modified control laws are shown to be optimal for a certain cost function, asmyptotically stable, and to result in a new method for stabilizing linear time-varying systems as well as extending some well known methods for stabilizing time invariant systems. In particular, the stabilizing gains of the feedback control laws are obtained from the solution of a Riccati equation over an arbitrary finite time interval, which is relatively easy to compute. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1976
Accession Number
ADA033773

Entities

People

  • Allan E. Pearson
  • W. H. Kwon

Organizations

  • Brown University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Corn
  • Differential Equations
  • Engineering
  • Equations
  • Feedback
  • Inequalities
  • Information Science
  • Intervals
  • Linear Differential Equations
  • Linear Systems
  • Lyapunov Functions
  • Nonlinear Differential Equations
  • Regulators
  • Riccati Equation
  • Terminals

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.