Accession Number:

ADA229433

Title:

Feedback Control in Distributed Parameter Systems

Descriptive Note:

Final rept. 1 Aug 1988-31 Jul 1990

Corporate Author:

NEBRASKA UNIV LINCOLN DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

Report Date:

1990-09-26

Pagination or Media Count:

5.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE