Frequency domain criteria for l^p-robust stability of continuous linear systems

Author

Tsypkin, Ya Z. ; Polyak, B.T.

Author_Institution

Inst. for Control Sci., Acad. of Sci., Moscow, USSR

Volume

36

Issue

12

fYear

1991

fDate

12/1/1991 12:00:00 AM

Firstpage

1464

Lastpage

1469

Abstract

Necessary and sufficient criteria in the frequency domain for robust stability are given under the assumption that coefficients of a characteristic polynomial belong to a transformed l^p-ball. Three cases are considered in detail: p =∞ (interval uncertainty), p=2 (ellipsoidal uncertainty), and p=1 (octahedral uncertainty). It is shown that frequency-domain-stability criteria are efficient when one deals with robust stability problems. The frequency-domain approach considered can be extended to various problems of robust stability

Keywords

frequency-domain analysis; linear systems; polynomials; stability criteria; characteristic polynomial; continuous linear systems; ellipsoidal uncertainty; frequency domain analysis; frequency-domain-stability criteria; interval uncertainty; l^p-robust stability; octahedral uncertainty; transformed l^p-ball; Chebyshev approximation; Equations; Frequency domain analysis; Linear systems; Polynomials; Robust stability; Stability analysis; Stability criteria; Sufficient conditions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.106161

Filename

106161

Frequency domain criteria for lp-robust stability of continuous linear systems

Tsypkin, Ya Z. ; Polyak, B.T.

jour

Frequency domain criteria for l^p-robust stability of continuous linear systems