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Linear matrix inequality conditions for robustness and control design
Author(s) -
D'Andrea Raffaello
Publication year - 2001
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/rnc.562
Subject(s) - affine transformation , linear matrix inequality , robustness (evolution) , mathematics , linear inequality , inequality , matrix (chemical analysis) , linear system , class (philosophy) , control theory (sociology) , mathematical optimization , computer science , control (management) , pure mathematics , mathematical analysis , artificial intelligence , biochemistry , chemistry , materials science , composite material , gene
In this paper, well‐known stability conditions for linear, time‐invariant systems subject to structured uncertainty are extended to encompass matrix valued and affine integral constraints on the system inputs and outputs. Necessary and sufficient analysis conditions are derived in terms of linear matrix inequalities. For a large class of these problems, the synthesis question can also be expressed as a linear matrix inequality. Copyright © 2001 John Wiley & Sons, Ltd.