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Robustness analysis for systems with ellipsoidal uncertainty
Author(s) -
Braatz Richard D.,
Crisalle Oscar D.
Publication year - 1998
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(1998110)8:13<1113::aid-rnc375>3.0.co;2-b
Subject(s) - robustness (evolution) , ellipsoid , computation , affine transformation , singular value , chen , computer science , mathematics , margin (machine learning) , mathematical optimization , algorithm , control theory (sociology) , artificial intelligence , geometry , machine learning , physics , paleontology , biochemistry , chemistry , eigenvalues and eigenvectors , control (management) , quantum mechanics , astronomy , biology , gene
Abstract This note derives an explicit expression for computing the robustness margin for affine systems whose real and complex coefficients are related by an ellipsoidal constraint. The expression, which is an application of a result by Chen, Fan, and Nett for rank‐one generalized structured singular‐value problems, extends and unifies previous results on robustness margin computation for systems with ellipsoidal uncertainty. © 1998 John Wiley & Sons, Ltd.