Canonical Forms in the Control of DPS.

Abstract

Control canonical forms play an important role in the analysis of finite-dimensional problems in control theory. The goal of this research was to extend these results and develop control canonical forms for infinite-dimensional systems. These results were derived for a broad class of problems, including some with unbounded input (as occurs with boundary control problems). This analysis led to approximate feedback control methods (i.e., using finite-dimensional controls) by truncating the resulting series which solves the eigenvalue specification problem. Results were published in a series of five papers, including Canonical forms for a class of distributed parameter control systems, Spectral assignability for disturbed parameter systems with unbounded scalar control, and Spectral determination for a cantilevel beam.

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Document Details

Document Type
Technical Report
Publication Date
Apr 08, 1988
Accession Number
ADA194671

Entities

People

  • Richard Rebarber

Organizations

  • University of Nebraska–Lincoln

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Cantilever Beams
  • Control Systems
  • Control Theory
  • Eigenvalues
  • Equations
  • Feedback
  • Infinite Series
  • Mathematics
  • Meromorphic Functions
  • Nebraska
  • Numbers
  • Specifications
  • Square Roots
  • Standards
  • Statistics

Readers

  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.