Frequency response of uncertain systems with interval plants

Author

Bartlett, Andrew C. ; Tesi, Alberto ; Vicino, Antonio

Author_Institution

Inst. for Flight Syst. Dynamics, German Aerosp. Res. Establ., Oberpfaffenhofen, Germany

Volume

38

Issue

6

fYear

1993

fDate

6/1/1993 12:00:00 AM

Firstpage

929

Lastpage

933

Abstract

Frequency domain properties of uncertain rational functions depending on two independent interval polynomials are investigated. Several simplifications for efficient computation of the envelope of the Nyquist plots of the uncertain family are reported. Stronger computational reduction results are given for the Bode magnitude and phase plots of an interval plant-controller family of transfer functions. These results allow for a clear understanding of the extremality properties of several frequency domain performance specifications commonly used in control system design

Keywords

Bode diagrams; Nyquist diagrams; control system analysis; frequency response; frequency-domain analysis; transfer functions; Bode magnitude; Nyquist plots; control system synthesis; frequency domain; frequency response; interval plants; phase plots; polynomials; transfer functions; uncertain systems; Feedback; Frequency domain analysis; Frequency response; Modems; Open loop systems; Polynomials; Robust control; Robust stability; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.222304

Filename

222304