Optimal sampled-data approximation in the ν-gap metric

Sei Zhen Khong, Michael Cantoni

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We revisit the problem of optimal sampled-data approximation with respect to a -gap measure of error. A method, exploiting standard computational tools for H sampled-data synthesis, is devised to solve weighted approximation problems of this kind. Our development relies on recently established shift-invariant representations for linear time-invariant systems and periodic sampled-data systems defined over the doubly-infinite time axis. It also involves a single J-spectral factorisation; by contrast, existing results involve a more complicated factorisation. To conclude, two numerical examples are considered.

Original languageEnglish (US)
Title of host publicationASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings
Number of pages6
StatePublished - Aug 29 2011
Event8th Asian Control Conference, ASCC 2011 - Kaohsiung, Taiwan, Province of China
Duration: May 15 2011May 18 2011


Other8th Asian Control Conference, ASCC 2011
CountryTaiwan, Province of China


  • ν-gap metric
  • Model approximation
  • multiplication operators
  • sampled-data systems

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