Title :
Worst-case and average H2 performance analysis against real constant parametric uncertainty
Author :
Friedman, Jonathan H. ; Kabamba, Pierre T. ; Khargonekar, Pramod P.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
fDate :
29 June-1 July 1994
Abstract :
In this paper we present methods for calculating both the average and worst-case quadratic performance for a family of linear time-invariant systems with real constant parametric uncertainty. The linear systems are described by state-space models with affine linear dependence on the uncertain parameters. A closed form expression for the average performance is given and it is shown that the worst-case calculation is similar to that of the H∞ norm of a certain augmented system.
Keywords :
optimal control; state-space methods; H∞ norm; affine linear dependence; average H2 performance analysis; closed form expression; linear time-invariant systems; quadratic performance; real constant parametric uncertainty; state-space models; worst-case H2 performance analysis; Argon; Grid computing; Linear systems; Performance analysis; Robust control; Robust stability; Robustness; Stacking; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.734990