Accession Number:

ADA125853

Title:

Chained Aggregation and Control System Design:; A Geometric Approach.

Descriptive Note:

Technical rept.,

Corporate Author:

ILLINOIS UNIV AT URBANA DECISION AND CONTROL LAB

Personal Author(s):

Report Date:

1982-10-01

Pagination or Media Count:

189.0

Abstract:

This thesis is an indepth study of the Generalized Hessenberg Representation GHR of a linear time-invariant control system. It is shown that the GHR explicitly exhibits a sequence of observability subspaces. By studying these subspaces in this specific basis, a number of results follow. Having defined the subspace algebraically, the authors introduce a topology into the subspaces of state space. Using the GHR they are able to estimate distances between key subspaces. This leads to a measure of the degree of observability, called here near unobservability, which formalizes the intuitive geometric notion that a system is nearly unobservable if it has an invariant subspace near the null space of C. The relationship to other measures of observability is discussed as well as its role in model reduction.

Subject Categories:

  • Theoretical Mathematics
  • Test Facilities, Equipment and Methods

Distribution Statement:

APPROVED FOR PUBLIC RELEASE