Title :
Robust H∞ stabilization via parametrized Lyapunov bounds
Author :
Haddad, Wassim M. ; Kapila, Vikram ; Bernstein, Dennis S.
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
2/1/1997 12:00:00 AM
Abstract :
The parametrized Lyapunov bounding technique of Haddad and Bernstein (1991, 1993, 1995) is extended to include an H∞ -disturbance attenuation constraint. The results presented in this paper provide a framework for designing fixed-order (i.e., full- and reduced-order) controllers that guarantee robust H2 and H∞ performance in the presence of structured constant real parameter variations in the state space model
Keywords :
H∞ control; Lyapunov methods; compensation; control system synthesis; dynamics; reduced order systems; robust control; uncertain systems; H∞ control; H∞-disturbance attenuation constraint; H2 control; Lyapunov functions; dynamic compensation; full-order controllers; parametrized Lyapunov bounds; real parameter uncertainty; reduced-order controllers; robust stabilization; state space model; Aerodynamics; Attenuation; H infinity control; Lyapunov method; Robust control; Robust stability; Robustness; Symmetric matrices; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
