Yet Another $H^\infty$ Discretization

by

L. Mirkin and G. Tadmor

Abstract:

A new approach to the conversion of the sampled-data $H^\infty$ problem to an equivalent pure discrete-time, lumped-variables counterpart, is presented. The approach is independent of controller causality constraints. In particular, it is applicable to problems, such as preview tracking and fixed-lag smoothing, where existing reduction methods fail. We demonstrate this by solving Open Problem no.~51 from the book ``Open Problems in Mathematical Systems and Control Theory''.

Keywords:  Sampled-data systems, lifting technique, $H^\infty$ optimization, fixed-lag smoothing.

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BibTeX entry:

@TechReport{??,
 author = "L. Mirkin and G. Tadmor",
 title = "Yet Another $H^\infty$ Discretization",
 institution = "Faculty of Mechanical Eng., Technion---IIT",
 number = "ETR--2002--03",
 year = "2002",
 month = "October",
 URL = "http://meeng.technion.ac.il/Research/TReports/2002/ETR-2002-03.html"
}

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The full paper can be downloaded from here: .