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

Kazunori Nishio; Kenji Kashima

doi:10.1109/SICE.2006.314871

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 proceeding › Conference contribution

1 Citation (Scopus)

Abstract

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 language	English
Title of host publication	2006 SICE-ICASE International Joint Conference
Publisher	Institute of Control Automation and Systems Engineers (ICASE)
Pages	3959-3962
Number of pages	4
ISBN (Print)	8995003855, 9788995003855
DOIs	https://doi.org/10.1109/SICE.2006.314871
Publication status	Published - 2006
Externally published	Yes
Event	2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of Duration: 2006 Oct 18 → 2006 Oct 21

Publication series

Name	2006 SICE-ICASE International Joint Conference

Other

Other	2006 SICE-ICASE International Joint Conference
Country/Territory	Korea, Republic of
City	Busan
Period	06/10/18 → 06/10/21

Keywords

Discrete-time systems
Non-minimum phase systems
Performance limitation

ASJC Scopus subject areas

Computer Science Applications
Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1109/SICE.2006.314871

Cite this

A new expression for the discrete time H² performance limit based on state-space representation. / Nishio, Kazunori; Kashima, Kenji.
2006 SICE-ICASE International Joint Conference. Institute of Control Automation and Systems Engineers (ICASE), 2006. p. 3959-3962 4108199 (2006 SICE-ICASE International Joint Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Nishio, K & Kashima, K 2006, A new expression for the discrete time H² performance limit based on state-space representation. in 2006 SICE-ICASE International Joint Conference., 4108199, 2006 SICE-ICASE International Joint Conference, Institute of Control Automation and Systems Engineers (ICASE), pp. 3959-3962, 2006 SICE-ICASE International Joint Conference, Busan, Korea, Republic of, 06/10/18. https://doi.org/10.1109/SICE.2006.314871

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