Improved Stability Robustness of Linear Discrete-Time Systems Via a Linear Fractional Transformation

Document Type

Article

Publication Date

1-1-1990

Abstract

Through a linear fractional transformation in the frequency domain, a set of hyperellipsoids, containing only such points in the coefficient space that they correspond to stable polynomials in linear discrete-time systems, have been attained. Procedures are presented in this paper to search for a suitable transform parameter β that will achieve a possibly larger coefficient perturbation range (with guaranteed stability) than that obtained by Soh et al. [7]. When β = 0, the hyperel-lipsoid degenerates to the largest hypersphere [7]. The result in this paper is, therefore, a generalization of the result obtained in [7]. © 1990 IEEE

Identifier

0025680662 (Scopus)

Publication Title

IEEE Transactions on Industrial Electronics

External Full Text Location

https://doi.org/10.1109/41.103459

e-ISSN

15579948

ISSN

02780046

First Page

538

Last Page

543

Issue

6

Volume

37

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