Optimal Incomplete Feedback Control of Linear Stochastic Systems.

Abstract

STIC LINEAR SYSTEMS IS CONSIDERED. The system is modeled by an uncertain parameter linear differential equation driven by Gaussian white noise and an incomplete observation which is a linear transformation of the states. The optimal control is the linear transformation of the observation which minimizes the expected value of a quadratic performance index. For both finite and infinite time problems, necessary conditions that the optimal control law must satisfy are derived. Time-varying and constant gains are considered for the finite-time problem. For the infinite-time problem only time-invariant gains are considered. The gradient derived for the infinite-time problem is applied to a flight control design problem. This problem concerns finding feedback gains to improve the lateral handling qualities of an F4 aircraft at two different flight conditions. The resulting control laws give quite adequate aircraft handling qualities for the aircraft at both flight conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0766440

Entities

People

  • Robert E. Heath Ii

Organizations

  • Flight Dynamics Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Differential Equations
  • Equations
  • Feedback
  • Linear Differential Equations
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Military Aircraft
  • Noise
  • Nonlinear Differential Equations
  • Observation
  • White Noise

Fields of Study

  • Mathematics

Readers

  • Aerospace Engineering
  • Control Systems Engineering.
  • Statistical inference.