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
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;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.688346
