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Optimal hold functions for MDCS sampled‐data problems
Author(s) -
Mirkin Leonid,
PalmorM Zalman J.
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.806
Subject(s) - function (biology) , controller (irrigation) , control theory (sociology) , interconnection , computer science , digital control , mathematical optimization , mathematics , control (management) , engineering , electronic engineering , telecommunications , artificial intelligence , evolutionary biology , agronomy , biology
In this paper the H 2 and H ∞ sampled‐data problems with mixed discrete/continuous specifications (MDCS) are considered. The hold function is not fixed a priory but rather is the design parameter. The (sub)optimal controller obtained is of the form of a serial interconnection of a (sub)optimal digital controller and a (sub)optimal hold function. It is demonstrated that the incorporation of the hold function into the sampled‐data design with MDCS extends considerably the possibility to reach a required trade‐off between discrete and continuous specifications in comparison with designs with a fixed hold function. Copyright © 2003 John Wiley & Sons, Ltd.