# Accession Number:

## AD0766440

# Title:

## Optimal Incomplete Feedback Control of Linear Stochastic Systems.

# Descriptive Note:

## Final rept. Jul 71-Feb 73,

# Corporate Author:

## AIR FORCE FLIGHT DYNAMICS LAB WRIGHT-PATTERSON AFB OHIO

# Personal Author(s):

# Report Date:

## 1973-06-01

# Pagination or Media Count:

## 225.0

# 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

# Descriptors:

# Subject Categories:

- Attack and Fighter Aircraft
- Statistics and Probability