Stability robustness bounds for linear uncertain systems-a frequency domain approach

Author

Luo, J.S. ; Johnson, A.

Author_Institution

Kramers Lab., Delft Univ. of Technol., Netherlands

fYear

1992

fDate

1992

Firstpage

2810

Abstract

Systems described by state-space models but with structured deterministic uncertainties are discussed. First a new sufficient condition is given which improves on the sufficient condition given by T.T. Juang et al. (Int. J. Syst. Sci., vol.18, pp.1363-1376, 1987) for stability robustness of linear continuous-time systems. The result is extended to linear discrete-time systems by presenting a new sufficient condition which improves on the sufficient condition given by Juang et al. (Int. J. Control, vol.46, pp.1547-1556, 1987). Illustrative examples are given to show that it is possible to attain the necessary and sufficient condition of the system stability by searching for the best similarity transformation matrix

Keywords

discrete time systems; frequency-domain analysis; linear systems; stability; state-space methods; continuous-time systems; discrete-time systems; frequency domain approach; linear uncertain systems; similarity transformation matrix; stability robustness; state-space models; structured deterministic uncertainties; sufficient condition; Asymptotic stability; Eigenvalues and eigenfunctions; Frequency domain analysis; Laboratories; Linear systems; Robust stability; Sufficient conditions; Uncertainty; Upper bound; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371304

Filename

371304