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COMPLEX AND REAL PERFORMANCE RADII AND THEIR COMPUTATION
Author(s) -
Hu TingShu,
Qiu Li
Publication year - 1997
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(199702)7:2<187::aid-rnc300>3.0.co;2-j
Subject(s) - computation , parametric statistics , upper and lower bounds , norm (philosophy) , control theory (sociology) , radius , lti system theory , matrix (chemical analysis) , linear system , invariant (physics) , computer science , mathematics , algorithm , mathematical analysis , control (management) , artificial intelligence , statistics , materials science , computer security , political science , law , composite material , mathematical physics
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. © 1997 by John Wiley & Sons, Ltd.