Improved stability robustness of linear discrete-time systems via a linear fractional transformation

Author

Shi, Yun-Qing ; Yen, Kang K. ; Zhang, Defu

Author_Institution

Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA

Volume

37

Issue

6

fYear

1990

fDate

12/1/1990 12:00:00 AM

Firstpage

538

Lastpage

543

Abstract

Through a linear fractional transformation in the frequency domain, a set of hyperellipsoids, containing only such points in the coefficient space which correspond to stable polynomials in linear discrete-time systems, was obtained. Procedures for searching for a suitable transform parameter β that will achieve a possibly larger coefficient perturbation range (with guaranteed stability) than that obtained by C.B. Soh et al. (1985) are presented. When β=0, the hyperellipsoid degenerates to the largest hypersphere. The result in this work is, therefore, a generalization of the result obtained by C.B. Soh et al

Keywords

discrete time systems; linear systems; stability; coefficient perturbation range; hyperellipsoids; linear discrete-time systems; linear fractional transformation; stability robustness; transform parameter; Control system synthesis; Discrete transforms; Mathematical model; Polynomials; Process control; Robust stability; Robustness; Search problems; Signal processing; Sufficient conditions;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/41.103459

Filename

103459