An Analytical Method for the Synthesis of Nonlinear Multivariable Feedback Control.

Abstract

An analytical synthesis method for the feedback control of nonlinear multivariable systems was developed. The synthesis procedure derived is based on linearizing a system about a set of closely-spaced steady-state operating points and applying linear optimization methods at each point. A single nonlinear control problem is thereby reduced to a series of linear control problems. This permits the use of established analytical and numerical methods associated with linear optimal control theory. At each operating point, an optimal linear feedback controller is generated by minizing a quadratic performance criterion. Weighting factors within each performance criterion enable the control designer to satisfy performance specifications by trading-off system response against control actuation rates. Nonlinear feedback control is then constructed by combining the series of linear controllers into a single nonlinear controller whose feedback gains vary with system state. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0762797

Entities

People

  • Florence A. Farrar
  • Gerald J. Michael

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Control Theory
  • Feedback
  • Linear Programming
  • Mathematical Programming
  • Optimization
  • Specifications
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Robotics and Automation.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers