H8Control of Linear Uncertain Systems with Positivity Constraints

Nachuan Yang; Yuzhe Li; Ling Shi

doi:10.23919/ASCC56756.2022.9828095

H₈Control of Linear Uncertain Systems with Positivity Constraints

Nachuan Yang, Yuzhe Li^*, Ling Shi

^*Corresponding author for this work

Department of Electronic and Computer Engineering

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

Abstract

This paper fills the literature gap by considering the worst-case H8 performance of continuous-time positive linear systems with structured uncertainty. The necessary and sufficient conditions on the positivity of structured uncertain systems are characterized using second-order cone programming (SOCP). More specifically, we reformulate the worst-case H8 control problem as a min-max semidefinite programming (SDP) based on the extended bounded real lemma for positive systems. Then we equivalently transform the min-max SDP into an SDP with linear matrix inequality (LMI) constraints, which turns out to be a convex programming. Finally, we provide several simulations to verify the effectiveness of the proposed results.

Original language	English
Title of host publication	ASCC 2022 - 2022 13th Asian Control Conference, Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	542-546
Number of pages	5
ISBN (Electronic)	9788993215236
DOIs	https://doi.org/10.23919/ASCC56756.2022.9828095
Publication status	Published - 2022
Event	13th Asian Control Conference, ASCC 2022 - Jeju, Korea, Republic of Duration: 4 May 2022 → 7 May 2022

Publication series

Name	ASCC 2022 - 2022 13th Asian Control Conference, Proceedings

Conference

Conference	13th Asian Control Conference, ASCC 2022
Country/Territory	Korea, Republic of
City	Jeju
Period	4/05/22 → 7/05/22

Bibliographical note

Publisher Copyright:
© 2022 ACA.

Keywords

H-infinity
positive systems
uncertain systems

Access to Document

10.23919/ASCC56756.2022.9828095

Cite this

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title = "H8Control of Linear Uncertain Systems with Positivity Constraints",

abstract = "This paper fills the literature gap by considering the worst-case H8 performance of continuous-time positive linear systems with structured uncertainty. The necessary and sufficient conditions on the positivity of structured uncertain systems are characterized using second-order cone programming (SOCP). More specifically, we reformulate the worst-case H8 control problem as a min-max semidefinite programming (SDP) based on the extended bounded real lemma for positive systems. Then we equivalently transform the min-max SDP into an SDP with linear matrix inequality (LMI) constraints, which turns out to be a convex programming. Finally, we provide several simulations to verify the effectiveness of the proposed results.",

keywords = "H-infinity, positive systems, uncertain systems",

author = "Nachuan Yang and Yuzhe Li and Ling Shi",

note = "Publisher Copyright: {\textcopyright} 2022 ACA.; 13th Asian Control Conference, ASCC 2022 ; Conference date: 04-05-2022 Through 07-05-2022",

year = "2022",

doi = "10.23919/ASCC56756.2022.9828095",

language = "English",

series = "ASCC 2022 - 2022 13th Asian Control Conference, Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "542--546",

booktitle = "ASCC 2022 - 2022 13th Asian Control Conference, Proceedings",

}

Yang, N, Li, Y & Shi, L 2022, H₈Control of Linear Uncertain Systems with Positivity Constraints. in ASCC 2022 - 2022 13th Asian Control Conference, Proceedings. ASCC 2022 - 2022 13th Asian Control Conference, Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 542-546, 13th Asian Control Conference, ASCC 2022, Jeju, Korea, Republic of, 4/05/22. https://doi.org/10.23919/ASCC56756.2022.9828095

H₈Control of Linear Uncertain Systems with Positivity Constraints. / Yang, Nachuan; Li, Yuzhe; Shi, Ling.
ASCC 2022 - 2022 13th Asian Control Conference, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2022. p. 542-546 (ASCC 2022 - 2022 13th Asian Control Conference, Proceedings).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

TY - GEN

T1 - H8Control of Linear Uncertain Systems with Positivity Constraints

AU - Yang, Nachuan

AU - Li, Yuzhe

AU - Shi, Ling

PY - 2022

Y1 - 2022

N2 - This paper fills the literature gap by considering the worst-case H8 performance of continuous-time positive linear systems with structured uncertainty. The necessary and sufficient conditions on the positivity of structured uncertain systems are characterized using second-order cone programming (SOCP). More specifically, we reformulate the worst-case H8 control problem as a min-max semidefinite programming (SDP) based on the extended bounded real lemma for positive systems. Then we equivalently transform the min-max SDP into an SDP with linear matrix inequality (LMI) constraints, which turns out to be a convex programming. Finally, we provide several simulations to verify the effectiveness of the proposed results.

AB - This paper fills the literature gap by considering the worst-case H8 performance of continuous-time positive linear systems with structured uncertainty. The necessary and sufficient conditions on the positivity of structured uncertain systems are characterized using second-order cone programming (SOCP). More specifically, we reformulate the worst-case H8 control problem as a min-max semidefinite programming (SDP) based on the extended bounded real lemma for positive systems. Then we equivalently transform the min-max SDP into an SDP with linear matrix inequality (LMI) constraints, which turns out to be a convex programming. Finally, we provide several simulations to verify the effectiveness of the proposed results.

KW - H-infinity

KW - positive systems

KW - uncertain systems

UR - https://openalex.org/W4286306154

UR - https://www.scopus.com/pages/publications/85135600628

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DO - 10.23919/ASCC56756.2022.9828095

M3 - Conference Paper published in a book

T3 - ASCC 2022 - 2022 13th Asian Control Conference, Proceedings

SP - 542

EP - 546

BT - ASCC 2022 - 2022 13th Asian Control Conference, Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 13th Asian Control Conference, ASCC 2022

Y2 - 4 May 2022 through 7 May 2022

ER -