DocumentCode
325321
Title
Robust stabilization of singular systems with H∞-bounded uncertainty
Author
Su, Qing ; Syrmos, Vassilis L.
Author_Institution
Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA
Volume
5
fYear
1998
fDate
21-26 Jun 1998
Firstpage
2725
Abstract
The problem of robustly stabilizing a linear time-invariant singular system is studied. The characterization is given in terms of H ∞-bounded perturbations to the numerator and denominator factors of its normalized left coprime factorization. An optimal stability margin is provided in terms of the definition of the Hankel norm of a singular system. The Hankel norm is computed using two generalized Lyapunov equations
Keywords
Lyapunov methods; linear systems; matrix algebra; robust control; state-space methods; uncertain systems; H∞-bounded perturbations; H∞-bounded uncertainty; Hankel norm; generalized Lyapunov equations; linear time-invariant singular system; normalized left coprime factorization; optimal stability margin; robust stabilization; Contracts; Control systems; Differential algebraic equations; Differential equations; Ear; H infinity control; Riccati equations; Robust stability; Robustness; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1998. Proceedings of the 1998
Conference_Location
Philadelphia, PA
ISSN
0743-1619
Print_ISBN
0-7803-4530-4
Type
conf
DOI
10.1109/ACC.1998.688346
Filename
688346
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