Convergence of Controllers Designed Using State Space Methods

Abstract

In this paper convergence of finite-dimensional controllers for infinite-dimensional systems designed using approximations is examined. Stable coprime factorization theory is used to show that under the standard assumptions of uniform stabilizability/detectability, the controllers stabilize the original system for large enough model order. The controllers converge uniformly to an infinite-dimensional controller, as does the closed loop response.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1991
Accession Number
ADA244826

Entities

People

  • Kirsten Morris

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Closed Loop Systems
  • Control Systems
  • Differential Equations
  • Engineering
  • Equations
  • Feedback
  • Hilbert Space
  • Numbers
  • Numerical Analysis
  • Partial Differential Equations
  • Real Numbers
  • Riccati Equation
  • Sequences
  • Theorems
  • Topology
  • Transfer Functions

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers