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Necessary and sufficient conditions for robust perfect tracking under variable structure control
Author(s) -
Balluchi Andrea,
Bicchi Antonio
Publication year - 2003
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.719
Subject(s) - multiplicative function , constructive , control theory (sociology) , robust control , variable (mathematics) , mathematics , controller (irrigation) , tracking (education) , variable structure control , control (management) , computer science , control system , nonlinear system , sliding mode control , engineering , artificial intelligence , mathematical analysis , psychology , agronomy , pedagogy , physics , process (computing) , quantum mechanics , electrical engineering , biology , operating system
The tracking control of linear MIMO systems with structured uncertainty is considered. A necessary and sufficient condition for robust asymptotic tracking employing variable structure techniques in the presence of multiplicative uncertainty is derived. The constructive proof of the theorem provides an explicit formula for controller synthesis. Copyright © 2002 John Wiley & Sons, Ltd.