OPTIMUM CONTROLLERS FOR LINEAR CLOSED-LOOP SYSTEMS

Abstract

An analysis for optimum controllers of general, linear, time invariant multiloop systems is presented. Optimization is based on minimizing mean-square or integral-square errors for either stationary statistical or transient inputs, with limits and constraints of mean- or integral-square form. General representations of controller characteristics, stable process characteristics, and error relations are used. A method is shown of assuring stability of the multiloop system during the optimization process and casting the multiloop controlled system into an equivalent open loop so that the methods of optimum filter theory can be used. General solutions are obtained for four special cases. Two examples for speed control of a turbojet engine illustrate the methods developed in this report. The data for a controlled turbojet engine were in substantial agreement with the theoretical results.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1953
Accession Number
AD0007204

Entities

People

  • Aaron S. Boksenbon
  • David Novik
  • Herbert Heppler

Organizations

  • National Aeronautics and Space Administration

Tags

DTIC Thesaurus Topics

  • Axial Flow
  • Closed Loop Systems
  • Dead Time
  • Engines
  • Equations
  • Frequency Response
  • Gas Turbines
  • Harmonic Analysis
  • Integrals
  • Jet Aircraft
  • Jet Engines
  • Linear Systems
  • Nonlinear Systems
  • Open Loop Systems
  • Specifications
  • Static Tests
  • Turbojet Engines

Fields of Study

  • Engineering

Readers

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