Control of Large Actuator Arrays Using Pattern-Forming Systems

Abstract

Pattern-forming systems are used to model many diverse phenomena from biology, chemistry, and physics. These systems of differential equations have the property that as a bifurcation (or control) parameter passes through a critical value, a stable spatially uniform equilibrium state gives way to a stable pattern state, which may have spatial variation, time variation, or both. There is a large body of experimental and mathematical work on patternforming systems. However, these ideas have not yet been adequately exploited in engineering, particularly in the control of smart systems; i.e., feedback systems having large numbers of actuators and sensors. With dramatic recent improvements in micro-actuator and micro-sensor technology, there is a need for control schemes better than the conventional approach of reading out all of the sensor information to a computer, performing all the necessary computations in a centralized fashion, and then sending out commands to each individual actuator. Potential applications for large arrays of micro-actuators include adaptive optics (in particular, micromirror arrays), suppressing turbulence and vortices in fluid boundary-layers, micro-positioning small parts, and manipulating small quantities of chemical reactants.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1998
Accession Number
ADA439849

Entities

People

  • E. W. Justh
  • P.S.Krishnaprasad

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Advanced Electronics
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Banach Space
  • Boundary Layer
  • Boundary Value Problems
  • Chemistry
  • Computers
  • Control Systems
  • Detection
  • Detectors
  • Fluid Flow
  • Hilbert Space
  • Image Processing
  • Microelectromechanical Systems
  • Phased Arrays
  • Resonant Circuits
  • Resonant Frequency
  • Standing Waves
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Mechanics and Fluid Dynamics.
  • Robotics and Automation.