H-Infinity-Optimal Control for Distributed Parameter Systems

Abstract

This report describes progress in the development and application of H-infinity-optimal control theory to distributed parameter systems. This research is intended to develop both theory and algorithms capable of providing realistic control systems for physical plants which are appropriately modeled as infinite dimensional linear systems, such as large space structures. In pursuing this program, we have focused on issues motivated by specific models of infinite dimensional systems. Our main results are as follows: We have extended outer factor absorption results to cover certain irrational outer factors. This is in order to justify transformations used in a step for further explicit solution. We have generalized previous results on the single-input/single-output (SISO) mixed sensitivity problem to the case of irrational outer factor and unstable plant. We have solved a multi-input/output mixed sensitivity problem which cannot be treated by previous results. Finally, we developed a technique for numerically computing the optimal value of weighted mixed sensitivity for SISO systems, for the case where explicit symbolic inner/outer factorizations are not possible.

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 1991
Accession Number
ADA234931

Entities

People

  • David S. Flamm
  • Hong Yang
  • Katherine Klipec

Organizations

  • Princeton University

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Absorption
  • Algorithms
  • Computer Programs
  • Control Systems
  • Differential Equations
  • Eigenvalues
  • Electrical Engineering
  • Equations
  • Insensitive Explosives
  • Large Space Structures
  • Multiple Input Multiple Output
  • Partial Differential Equations
  • Plastic Explosives
  • Rational Functions
  • Sequences
  • Transfer Functions
  • Weighting Functions

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers