Closed Form Minimax Time-Delay Filter for Underdamped Systems Authors Singh, T., and Muenchhof, M. Source Optimal Control: Applications and Methods 28(3), 157-173.
Abstract
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.
@article{Singh07_OCAM, Author = {T. Singh and M. Muenchhof}, Journal = {Optimal Control: Applications and Methods}, Month = {May}, Pages = {157-173}, Title = {Closed Form Minimax Time-Delay Filter for Underdamped Systems}, Volume = {28}, Number = {3}, Year = {2007} } |