Conditions for mixed small gain and positive real property for LTI systems

Sirisak Wongsura; Lu Liu; Shinji Hara

Conditions for mixed small gain and positive real property for LTI systems

Sirisak Wongsura
, Lu Liu
, Shinji Hara

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

2 Citations (Scopus)

Abstract

The strictly positive real and small gain properties are two of the most important properties in control field. However, in the real world, many practical plants fail to satisfy these properties. In this paper, we propose a new class of systems named "Overlapping Mixed Frequency Property" which is closely related to the mixed small gain and positive real property. A matrix equation related to this property is also constructed and applied to find the stability condition on an output feedback system. © 2010 SICE.

Original language	English
Title of host publication	Proceedings of the SICE Annual Conference
Pages	625-629
Publication status	Published - 2010
Externally published	Yes
Event	SICE Annual Conference 2010, SICE 2010 - Taipei, Taiwan, China Duration: 18 Aug 2010 → 21 Aug 2010

Conference

Conference	SICE Annual Conference 2010, SICE 2010
Place	Taiwan, China
City	Taipei
Period	18/08/10 → 21/08/10

Research Keywords

Lur'e equation
Mixed SPR and small gain property
Output feedback control
Overlapping mixed frequency property

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title = "Conditions for mixed small gain and positive real property for LTI systems",

abstract = "The strictly positive real and small gain properties are two of the most important properties in control field. However, in the real world, many practical plants fail to satisfy these properties. In this paper, we propose a new class of systems named {"}Overlapping Mixed Frequency Property{"} which is closely related to the mixed small gain and positive real property. A matrix equation related to this property is also constructed and applied to find the stability condition on an output feedback system. {\textcopyright} 2010 SICE.",

keywords = "Lur'e equation, Mixed SPR and small gain property, Output feedback control, Overlapping mixed frequency property",

author = "Sirisak Wongsura and Lu Liu and Shinji Hara",

year = "2010",

language = "English",

isbn = "9784907764364",

pages = "625--629",

booktitle = "Proceedings of the SICE Annual Conference",

note = "SICE Annual Conference 2010, SICE 2010 ; Conference date: 18-08-2010 Through 21-08-2010",

}

TY - GEN

T1 - Conditions for mixed small gain and positive real property for LTI systems

AU - Wongsura, Sirisak

AU - Liu, Lu

AU - Hara, Shinji

PY - 2010

Y1 - 2010

N2 - The strictly positive real and small gain properties are two of the most important properties in control field. However, in the real world, many practical plants fail to satisfy these properties. In this paper, we propose a new class of systems named "Overlapping Mixed Frequency Property" which is closely related to the mixed small gain and positive real property. A matrix equation related to this property is also constructed and applied to find the stability condition on an output feedback system. © 2010 SICE.

AB - The strictly positive real and small gain properties are two of the most important properties in control field. However, in the real world, many practical plants fail to satisfy these properties. In this paper, we propose a new class of systems named "Overlapping Mixed Frequency Property" which is closely related to the mixed small gain and positive real property. A matrix equation related to this property is also constructed and applied to find the stability condition on an output feedback system. © 2010 SICE.

KW - Lur'e equation

KW - Mixed SPR and small gain property

KW - Output feedback control

KW - Overlapping mixed frequency property

UR - https://www.scopus.com/pages/publications/78649232062

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-78649232062&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9784907764364

SP - 625

EP - 629

BT - Proceedings of the SICE Annual Conference

T2 - SICE Annual Conference 2010, SICE 2010

Y2 - 18 August 2010 through 21 August 2010

ER -

Conditions for mixed small gain and positive real property for LTI systems

Abstract

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Research Keywords

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