Robust control with rejection of harmonic disturbances

Author

Savkin, Andrey V. ; Petersen, Ian R.

Author_Institution

Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia

Volume

40

Issue

11

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

1968

Lastpage

1971

Abstract

This paper considers a finite-time output feedback control problem for a class of uncertain systems subject to harmonic disturbances of known frequencies. The controller is required to minimize a quadratic cost functional subject to the given uncertainties and harmonic disturbances. The main result gives a necessary and sufficient condition for the existence of a suitable controller. The condition is given terms of a pair of Riccati differential equations which arise in a corresponding H^∞ control problem

Keywords

Riccati equations; feedback; minimisation; nonlinear differential equations; robust control; uncertain systems; H^∞ control; Riccati differential equations; finite-time output feedback control; harmonic disturbances rejection; necessary and sufficient existence condition; quadratic cost functional; robust control; uncertain systems; Control systems; Cost function; Differential equations; Frequency; Output feedback; Riccati equations; Robust control; Sufficient conditions; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.471226

Filename

471226