Closed Loop Formulations of Optimal Control Problems for Minimum Sensitivity.

Abstract

A new formulation of the trajectory sensitivity problem is developed to reduce the effects of modeling errors in optimal control systems. Necessary conditions for minimum sensitivity are obtained from a measurable quasiconvex family of direction fields. These techniques are applicable to a large class of non-linear systems that could not be handled previously by standard sensitivity methods. The principal result is a complete theory for the practical design of minimum sensitive linear feedback compensators. Sufficient conditions are developed from new theorems relating conjugate points to the positive definiteness and controllability of the accessory minimum problem. The advantages of the minimum sensitive compensator relative to least square parameter estimators are discussed. An example illustrates the improved sensitivity characteristics of the compensator as compared to model following and regulating controls. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1982
Accession Number
ADA124644

Entities

People

  • R. N. Crane

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Boundary Value Problems
  • Calculus
  • Closed Loop Systems
  • Control Systems
  • Differential Equations
  • Engineering
  • Estimators
  • Filters
  • Functional Analysis
  • Hilbert Space
  • Kalman Filters
  • Linear Differential Equations
  • Linear Systems
  • Mathematical Filters
  • Nonlinear Systems
  • Open Loop Systems

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Operations Research