Application of Modern Control Design Methodologies to a Multi-Segmented Deformable Mirror System

Abstract

The multi-segmented deformable mirror system is proposed as an element for a portion of a ballistic missile defense system. The size of the mirror required for this defense function requires that the mirror be developed in segments, and then these segments should be phased together to produce one continuous, large optic. The application of multivariable control system synthesis techniques to provide closed-loop wavefront control of the deformable mirror system is the problem discussed in this thesis. The method of H at infinity control system synthesis using loop-shaping techniques was used to develop a controller that meets a robust performance specification. The number and location of sensors was treated as a design variable, and the structured singular value (mu) was used to determine the performance robustness of the deformable mirror system. Decentralized control issues are also addressed through the use of necessary conditions in an effort to determine a suitable decentralized control structure with performance similar to that of the centralized controller.

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Document Details

Document Type
Technical Report
Publication Date
May 23, 1991
Accession Number
ADA239415

Entities

People

  • Edgar M. Vaughan

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Bandwidth
  • Closed Loop Systems
  • Computational Science
  • Control Systems
  • Deformable Mirrors
  • Equations
  • Frequency
  • Frequency Bands
  • Mirrors
  • Open Loop Systems
  • Power Spectra
  • Resonant Frequency
  • Segmented
  • Simulations
  • Transfer Functions
  • Weighting Functions

Readers

  • Image Processing and Computer Vision.
  • Robotics and Automation.