Feedback Control in Distributed Parameter Systems

Abstract

In this project questions related to stabilization of vibrating system by feedback were studied. A vibrating system is uniformly stabilized by a feedback if there is a uniform rate of decay for all vibrational modes of the closed-loop system, which is the system with feedback. Necessary conditions were found for certain kinds of feedback to uniformly stabilize a system which is originally undamped and has the feedback applied at the boundary. Sufficient conditions were found for the feedback to lead to a closed-loop system which is mathematically well-posed. It was also shown that in a large class of systems which are stabilized by feedback, if a small delay is introduced in the computation of the feedback, then the stability of the closed-loop system is destroyed. Keywords: Robust stabilization.

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Document Details

Document Type
Technical Report
Publication Date
Sep 26, 1990
Accession Number
ADA229433

Entities

People

  • Richard Rebarber

Organizations

  • University of Nebraska–Lincoln

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Banach Space
  • Cantilever Beams
  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Feedback
  • Frequency Domain
  • Hilbert Space
  • Mathematics
  • Nebraska
  • Open Loop Systems
  • Scientific Research
  • Transfer Functions
  • Universities

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)