A new expression for the discrete time H2 performance limit based on state-space representation

Kazunori Nishio, Kenji Kashima

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

1 Citation (Scopus)


In this paper, we derive an analytical expression of the H2 performance limit based on state space representation. In order to focus on effects of non-minimum phase properties, we express systems as a series connection of a rational transfer matrix and a scalar inner function. The final result, given as a functional of the inner function, helps us to understand how achievable H2∼ performance deteriorates due to non-minimum phase properties of the plants.

Original languageEnglish
Title of host publication2006 SICE-ICASE International Joint Conference
PublisherInstitute of Control Automation and Systems Engineers (ICASE)
Number of pages4
ISBN (Print)8995003855, 9788995003855
Publication statusPublished - 2006
Externally publishedYes
Event2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of
Duration: 2006 Oct 182006 Oct 21

Publication series

Name2006 SICE-ICASE International Joint Conference


Other2006 SICE-ICASE International Joint Conference
Country/TerritoryKorea, Republic of


  • Discrete-time systems
  • Non-minimum phase systems
  • Performance limitation

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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