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Closed‐form minimax time‐delay filters for underdamped systems
Author(s) -
Singh Tarunraj,
Muenchhof Marco
Publication year - 2006
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.790
Subject(s) - control theory (sociology) , filter (signal processing) , minimax , mathematics , zero (linguistics) , group delay and phase delay , computer science , mathematical optimization , control (management) , artificial intelligence , computer vision , linguistics , philosophy
This paper derives closed‐form solutions for the parameters of a time‐delay filter designed to be robust to uncertainties in frequencies to be cancelled. It is shown that the slope of the magnitude plot of the two time‐delay filter is zero at the nominal frequency indicating that it is a local maximum. This information is used for deriving the solution of the parameters of the time‐delay filter in closed form. Three time‐delay filters are also designed which force a zero of the filter to be located at the nominal frequency of the system. Uniform and non‐uniform distributions of the penalty over the uncertain regions are permitted in this formulation. The applicability of the proposed technique for the control of multi‐mode systems is also illustrated. Copyright © 2006 John Wiley & Sons, Ltd.