RELIABLE STATE-SPACE UPPER-BOUNDS FOR THE PEAK STRUCTURED SINGULAR-VALUE

Authors
SPARKS AG BERNSTEIN DS
Citation
Ag. Sparks et Ds. Bernstein, RELIABLE STATE-SPACE UPPER-BOUNDS FOR THE PEAK STRUCTURED SINGULAR-VALUE, International journal of robust and nonlinear control, 8(7), 1998, pp. 611-630
Citations number
24
Categorie Soggetti
Mathematics,"Robotics & Automatic Control",Mathematics,"Engineering, Eletrical & Electronic","Robotics & Automatic Control
Journal title
International journal of robust and nonlinear control → ACNP
ISSN journal
10498923
Volume
8
Issue
7
Year of publication
1998
Pages
611 - 630
Database
ISI
SICI code
1049-8923(1998)8:7<611:RSUFTP>2.0.ZU;2-5
Abstract
A state-space method for computing upper bounds for the peak of the st ructured singular value over frequency for both real and complex uncer tainties is presented. These bounds are based on the positivity and Po pov criteria for one-sided, sector-bounded and for norm-bounded, block -structured linear uncertainty, These criteria are restated and used t o derive upper bounds for the peak structured singular value by equati ng the feasibility of a linear matrix inequality which involves a plan t state-space realization to the strict positive realness of a transfe r function. Numerical examples are given to illustrate these upper bou nds. (C) 1998 John & Wiley Sons, Ltd.