Observers for Infinite Dimensional Linear Systems.

Abstract

Observers for infinite dimensional systems modeled by semigroups are defined. Properties of these observers and of closed loop control systems using observers are derived. The spectrum of a closed loop system using an observer is shown to be the union of the spectrum of the observer with the spectrum of the closed loop system without observer. Conditions are derived for identity and reduced order observers to exist for systems modeled by strongly continuous semigroups, with state space a Banach space, and for systems moded by strongly continuous groups with state space a separable Hilbert space. These results are applied to ordinary differential equations, linear differential equations, parabolic partial differential equations, and wave equations. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1974
Accession Number
AD0781833

Entities

People

  • Randall V. Gressang

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Closed Loop Systems
  • Control Systems
  • Differential Equations
  • Equations
  • Hilbert Space
  • Linear Differential Equations
  • Linear Systems
  • Observers
  • Partial Differential Equations
  • Spectra
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Vision Science/Vision Psychology/Cognitive Neuroscience.

Technology Areas

  • Space
  • Space - Space Objects