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Optimal guaranteed cost control of discrete‐time uncertain linear systems
Author(s) -
Petersen Ian R.,
McFarlane Duncan C.,
Rotea Mario A.
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(19980715)8:8<649::aid-rnc334>3.0.co;2-6
Subject(s) - quadratic growth , linear matrix inequality , discrete time and continuous time , control theory (sociology) , controller (irrigation) , mathematical optimization , function (biology) , mathematics , cost control , quadratic equation , matrix (chemical analysis) , linear system , linear programming , control (management) , computer science , algorithm , mathematical analysis , statistics , artificial intelligence , materials science , geometry , evolutionary biology , agronomy , composite material , biology
This paper considers the problem of constructing a controller which quadratically stabilizes an uncertain system and minimizes a guaranteed cost bound on a quadratic cost function. The solution is obtained via a parameter‐dependent linear matrix inequality problem. © 1998 John Wiley & Sons, Ltd.