Nonlinear Negative Imaginary Systems with Switching

Kanghong Shi; Ian R. Petersen; Igor G. Vladimirov

doi:10.1016/j.ifacol.2023.10.1331

Nonlinear Negative Imaginary Systems with Switching

Kanghong Shi^*
, Ian R. Petersen^*
, Igor G. Vladimirov^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

3 Citations (Scopus)

Abstract

In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imaginary (OSNI) systems are defined. We show that the interconnection of two switched nonlinear NI systems is still switched nonlinear NI. The interconnection of a switched nonlinear NI system and a switched nonlinear OSNI system is asymptotically stable under some assumptions. This stability result is then illustrated using a numerical example.

Original language	English
Title of host publication	IFAC-PapersOnLine
Editors	Hideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
Publisher	Elsevier B.V.
Pages	3936-3941
Number of pages	6
Edition	2
ISBN (Electronic)	9781713872344
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.1331
Publication status	Published - 2023
Event	22nd IFAC World Congress - Yokohama, Japan Duration: 9 Jul 2023 → 14 Jul 2023

Publication series

Name	IFAC-PapersOnLine
Number	2
Volume	56
ISSN (Electronic)	2405-8963

Conference

Conference	22nd IFAC World Congress
Country/Territory	Japan
City	Yokohama
Period	9/07/23 → 14/07/23

Access to Document

10.1016/j.ifacol.2023.10.1331

Cite this

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title = "Nonlinear Negative Imaginary Systems with Switching",

abstract = "In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imaginary (OSNI) systems are defined. We show that the interconnection of two switched nonlinear NI systems is still switched nonlinear NI. The interconnection of a switched nonlinear NI system and a switched nonlinear OSNI system is asymptotically stable under some assumptions. This stability result is then illustrated using a numerical example.",

keywords = "nonlinear negative imaginary system, nonlinear system, robust control, storage function, switched system",

author = "Kanghong Shi and Petersen, \{Ian R.\} and Vladimirov, \{Igor G.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 22nd IFAC World Congress ; Conference date: 09-07-2023 Through 14-07-2023",

year = "2023",

doi = "10.1016/j.ifacol.2023.10.1331",

language = "English",

series = "IFAC-PapersOnLine",

publisher = "Elsevier B.V.",

number = "2",

pages = "3936--3941",

editor = "Hideaki Ishii and Yoshio Ebihara and Jun-ichi Imura and Masaki Yamakita",

booktitle = "IFAC-PapersOnLine",

address = "Netherlands",

edition = "2",

}

Nonlinear Negative Imaginary Systems with Switching. / Shi, Kanghong; Petersen, Ian R.; Vladimirov, Igor G.
IFAC-PapersOnLine. ed. / Hideaki Ishii; Yoshio Ebihara; Jun-ichi Imura; Masaki Yamakita. 2. ed. Elsevier B.V., 2023. p. 3936-3941 (IFAC-PapersOnLine; Vol. 56, No. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

TY - GEN

T1 - Nonlinear Negative Imaginary Systems with Switching

AU - Shi, Kanghong

AU - Petersen, Ian R.

AU - Vladimirov, Igor G.

PY - 2023

Y1 - 2023

N2 - In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imaginary (OSNI) systems are defined. We show that the interconnection of two switched nonlinear NI systems is still switched nonlinear NI. The interconnection of a switched nonlinear NI system and a switched nonlinear OSNI system is asymptotically stable under some assumptions. This stability result is then illustrated using a numerical example.

AB - In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imaginary (OSNI) systems are defined. We show that the interconnection of two switched nonlinear NI systems is still switched nonlinear NI. The interconnection of a switched nonlinear NI system and a switched nonlinear OSNI system is asymptotically stable under some assumptions. This stability result is then illustrated using a numerical example.

KW - nonlinear negative imaginary system

KW - nonlinear system

KW - robust control

KW - storage function

KW - switched system

UR - https://www.scopus.com/pages/publications/85184962061

U2 - 10.1016/j.ifacol.2023.10.1331

DO - 10.1016/j.ifacol.2023.10.1331

M3 - Conference Paper

AN - SCOPUS:85184962061

T3 - IFAC-PapersOnLine

SP - 3936

EP - 3941

BT - IFAC-PapersOnLine

A2 - Ishii, Hideaki

A2 - Ebihara, Yoshio

A2 - Imura, Jun-ichi

A2 - Yamakita, Masaki

PB - Elsevier B.V.

T2 - 22nd IFAC World Congress

Y2 - 9 July 2023 through 14 July 2023

ER -

Nonlinear Negative Imaginary Systems with Switching

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