Title :
Reliable state space upper bounds for the peak structured singular value
Author :
Sparks, A.G. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
A state space method for computing upper bounds for the peak of the structured singular value over frequency for both real and complex uncertainties is presented. These bounds are based on the positivity and Popov criteria for one-sided, sector-bounded and for norm-bounded, block-structured linear uncertainty. These criteria are restated and used to derive upper bounds for the peak structured singular value by equating the feasibility of a linear matrix inequality which involves a plant state space realization to the strict positive realness of a transfer function. Numerical examples we given to illustrate these upper bounds
Keywords :
Popov criterion; frequency-domain analysis; linear systems; optimisation; singular value decomposition; stability; state-space methods; transfer functions; uncertain systems; Popov criteria; frequency domain bounds; linear matrix inequality; linear uncertainty; peak structured singular value; positivity; state space; strict positive realness; transfer function; upper bounds; Frequency domain analysis; Frequency response; Linear matrix inequalities; Parametric statistics; Robustness; State-space methods; Testing; Transfer functions; Uncertainty; Upper bound;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.531407
