# Accession Number:

## AD0743969

# Title:

## Suboptimal Feedback Control of Pole Locations in Linear Systems.

# Descriptive Note:

## Final rept. Feb 69-May 71,

# Corporate Author:

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

# Personal Author(s):

# Report Date:

## 1972-04-01

# Pagination or Media Count:

## 62.0

# Abstract:

The report is concerned with the following problem given a linear time invariant system, determine what constant feedback control is to be used so that the final closed loop system poles the system eigenvalues lie within a given preassigned region of the complex plane and such that the norm of the feedback matrix is minimized. The approach taken in this report is to derive three alternate methods of obtaining a suboptimal feedback control. The first method uses Kalmans concept of controllability and the control canonical form to initially assign the closed loop poles and then searches for the suboptimal feedback control. The second method uses the inherent optimality of the pseudoinverse of a matrix to assign the closed loop poles with a suboptimal control in one step. The last method uses Gersgorin estimates of the pole locations in determining the suboptimal feedback control. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics