Worst-case and average H2 performance analysis against real constant parametric uncertainty
Jonathan, H. Friedman; Pierre, T. Kabamba; Pramod, P. Khargonekar
Automatica 31(4): 649-657
1995
ISSN/ISBN: 0005-1098
DOI: 10.1016/0005-1098(95)98497-t
Accession: 062503345
In this paper we present methods for calculating both the average and worst-case quadratic performances 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 H ∞ norm of a certain augmented system.