Exact bounds for stability robustness of uncertain singular systems via LFT-based method

Author

Lin, J.L. ; Chen, S.J.

Author_Institution

Dept. of Eng. Sci., Nat. Cheng Kung Univ., Tainan, Taiwan

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4896

Abstract

A one-parameter family of perturbations is considered for an uncertain singular system which is nominally regular, impulse-free and stable. Based on linear fractional transformations, two different approaches in the time-domain and the frequency-domain are provided to derive a closed form solution for the maximal bounds under which regularity, impulse-immunity and stability are robustly preserved. The approaches can be successfully applied to both continuous/discrete-time singular systems

Keywords

closed loop systems; continuous time systems; discrete time systems; eigenvalues and eigenfunctions; frequency-domain analysis; matrix algebra; poles and zeros; reduced order systems; robust control; time-domain analysis; uncertain systems; LFT-based method; exact bounds; frequency-domain; linear fractional transformations; maximal bounds; stability robustness; time-domain; uncertain singular systems; Closed-form solution; Control systems; Controllability; Equations; Observability; Polynomials; Robust control; Robust stability; State feedback; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.649809

Filename

649809