✦ LIBER ✦

COMPLEX AND REAL PERFORMANCE RADII AND THEIR COMPUTATION

✍ Scribed by Ting-Shu Hu; Li Qiu

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 341 KB
Volume: 7
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(199702)7:2<187::aid-rnc300>3.0.co;2-j

No coin nor oath required. For personal study only.

✦ Synopsis

This paper considers the problem of robust performance of a linear time-invariant system in the H norm. The concepts of complex and real performance radii are introduced to describe the smallest size of dynamic or parametric perturbations to a feedback system that either destabilize the system or destroy a performance bound in a certain closed-loop transfer matrix of the system. An algorithm to compute the complex performance radius is given. For the real performance radius, a lower bound, which often turns out to be exact, is obtained.

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