An Output Matching Approach to Multivariable Linear Digital Control.

Abstract

A simple and direct state space approach to the digital control of multivariable linear system is discussed. Control is provided by minimizing the mean square error between controlled plant outputs and specified desired output trajectories at sampling instants. Systems of linear equations for digital control inputs result with solutions assuming a natural constant forward and feedback gain form. Optimal gains are determined using elementary results form linear systems theory and standard techniques from linear algebra. Numerical applications to examples in simple model following, digital redesign, and direct digital design are described. Partial state observability and the effects of sampling rate upon system performance are considered. Control smoothing through matching at multiple sampling instants is discussed. This strategy provides improved performance without additional computational expense or increased sampling rate. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1982
Accession Number
ADA128662

Entities

People

  • David F. Miller

Organizations

  • Wright State University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Algorithms
  • Attitude Control Systems
  • Computations
  • Computer Simulations
  • Control Systems
  • Equations
  • Heuristic Methods
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Sampling
  • Simulations
  • Standards
  • Trajectories

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers