A globally optimal minimax solution for spectral overbounding and factorization

Author

Scheid, Robert E. ; Bayard, David S.

Author_Institution

Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

Volume

40

Issue

4

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

712

Lastpage

716

Abstract

In this paper, an algorithm is introduced to find a minimum phase transfer function of specified order whose magnitude “tightly” overbounds a specified real-valued nonparametric function of frequency. This method has direct application to transforming nonparametric uncertainty bounds (available from system identification experiments and/or plant modeling) into parametric representations required for modern robust control design software (i.e., a minimum-phase transfer function multiplied by a norm-bounded perturbation)

Keywords

discrete time systems; frequency-domain analysis; identification; linear programming; minimax techniques; robust control; spectral analysis; transfer functions; discrete time systems; factorization; globally optimal minimax solution; identification; linear programming; minimum phase transfer function; nonparametric uncertainty bounds; real-valued nonparametric function; robust control; spectral overbounding; Application software; Frequency; Mathematical model; Minimax techniques; Propulsion; Robust control; Space technology; System identification; Transfer functions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.376103

Filename

376103