Control of linear dynamic systems with set constrained disturbances

Author

Glover, J. Duncan ; Schweppe, Fred C.

Author_Institution

American Electric Power Service Corporation, New York, NY, USA

Volume

16

Issue

5

fYear

1971

fDate

10/1/1971 12:00:00 AM

Firstpage

411

Lastpage

423

Abstract

A linear dynamic system with input and observation uncertainties is studied. The uncertainties are constrained to be contained in specified sets. No probabilistic structure is assumed. The problem of keeping the state of the system in a specified region is investigated. Necessary and sufficient conditions for a solution to the problem and an algorithm that constructs the control are derived for open-loop and closed-loop control laws. The algorithm is also approximated by a bounding ellipsoid algorithm. Two special control laws, linear and "linear-plus-dead-band," are studied, and the regions that contain the state and control are characterized. Ellipsoids that bound the state and control are also derived, and a simple example of linear and linear-plus-dead-band control laws is presented.

Keywords

Linear systems, time-varying discrete-time; Uncertain systems; Control systems; Ellipsoids; Equations; Helium; Open loop systems; Power system modeling; Space technology; State-space methods; Sufficient conditions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1971.1099781

Filename

1099781