Decentralized disturbance attenuation for large-scale nonlinear systems with delayed state interconnections

Yi Guo

doi:10.1109/ACC.2004.182623

Decentralized disturbance attenuation for large-scale nonlinear systems with delayed state interconnections

Yi Guo

Department of Electrical and Computer Engineering

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

10 Scopus citations

Abstract

The problem of decentralized disturbance attenuation is considered for a new class of large-scale nonlinear systems with delayed state interconnections. This class of large-scale time-delay systems broadens most existing classes of large-scale time-delay systems in that the uncertain interconnections are bounded by general nonlinear functions instead of linear or polynomial-type functions. It is shown that by decentralized memoryless state feedback control, the closed-loop system achieves internal global asymptotical stability in the sense of Lyapunov and external stability in the sense of ℒ₂ gain. Nonlinear Lyapunov-Krasovskii functional are constructed which renders the linear and polynomial-type growth conditions on the interconnections as special cases.

Original language	English
Title of host publication	Proceedings of the 2004 American Control Conference (AAC)
Pages	4290-4295
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2004.182623
State	Published - 2004
Event	Proceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States Duration: 30 Jun 2004 → 2 Jul 2004

Publication series

Name	Proceedings of the American Control Conference
Volume	5
ISSN (Print)	0743-1619

Conference

Conference	Proceedings of the 2004 American Control Conference (AAC)
Country/Territory	United States
City	Boston, MA
Period	30/06/04 → 2/07/04

Keywords

Backstepping
Decentralized control
Large-scale systems
Nonlinear control
Time-delay

Access to Document

10.1109/ACC.2004.182623

Cite this

@inproceedings{eb83acc055204caab6358647f934e155,

title = "Decentralized disturbance attenuation for large-scale nonlinear systems with delayed state interconnections",

abstract = "The problem of decentralized disturbance attenuation is considered for a new class of large-scale nonlinear systems with delayed state interconnections. This class of large-scale time-delay systems broadens most existing classes of large-scale time-delay systems in that the uncertain interconnections are bounded by general nonlinear functions instead of linear or polynomial-type functions. It is shown that by decentralized memoryless state feedback control, the closed-loop system achieves internal global asymptotical stability in the sense of Lyapunov and external stability in the sense of ℒ2 gain. Nonlinear Lyapunov-Krasovskii functional are constructed which renders the linear and polynomial-type growth conditions on the interconnections as special cases.",

keywords = "Backstepping, Decentralized control, Large-scale systems, Nonlinear control, Time-delay",

author = "Yi Guo",

year = "2004",

doi = "10.1109/ACC.2004.182623",

language = "English",

isbn = "0780383354",

series = "Proceedings of the American Control Conference",

pages = "4290--4295",

booktitle = "Proceedings of the 2004 American Control Conference (AAC)",

note = "Proceedings of the 2004 American Control Conference (AAC) ; Conference date: 30-06-2004 Through 02-07-2004",

}

Guo, Y 2004, Decentralized disturbance attenuation for large-scale nonlinear systems with delayed state interconnections. in Proceedings of the 2004 American Control Conference (AAC). Proceedings of the American Control Conference, vol. 5, pp. 4290-4295, Proceedings of the 2004 American Control Conference (AAC), Boston, MA, United States, 30/06/04. https://doi.org/10.1109/ACC.2004.182623

TY - GEN

T1 - Decentralized disturbance attenuation for large-scale nonlinear systems with delayed state interconnections

AU - Guo, Yi

PY - 2004

Y1 - 2004

N2 - The problem of decentralized disturbance attenuation is considered for a new class of large-scale nonlinear systems with delayed state interconnections. This class of large-scale time-delay systems broadens most existing classes of large-scale time-delay systems in that the uncertain interconnections are bounded by general nonlinear functions instead of linear or polynomial-type functions. It is shown that by decentralized memoryless state feedback control, the closed-loop system achieves internal global asymptotical stability in the sense of Lyapunov and external stability in the sense of ℒ2 gain. Nonlinear Lyapunov-Krasovskii functional are constructed which renders the linear and polynomial-type growth conditions on the interconnections as special cases.

AB - The problem of decentralized disturbance attenuation is considered for a new class of large-scale nonlinear systems with delayed state interconnections. This class of large-scale time-delay systems broadens most existing classes of large-scale time-delay systems in that the uncertain interconnections are bounded by general nonlinear functions instead of linear or polynomial-type functions. It is shown that by decentralized memoryless state feedback control, the closed-loop system achieves internal global asymptotical stability in the sense of Lyapunov and external stability in the sense of ℒ2 gain. Nonlinear Lyapunov-Krasovskii functional are constructed which renders the linear and polynomial-type growth conditions on the interconnections as special cases.

KW - Backstepping

KW - Decentralized control

KW - Large-scale systems

KW - Nonlinear control

KW - Time-delay

UR - http://www.scopus.com/inward/record.url?scp=8744302924&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8744302924&partnerID=8YFLogxK

U2 - 10.1109/ACC.2004.182623

DO - 10.1109/ACC.2004.182623

M3 - Conference contribution

AN - SCOPUS:8744302924

SN - 0780383354

T3 - Proceedings of the American Control Conference

SP - 4290

EP - 4295

BT - Proceedings of the 2004 American Control Conference (AAC)

T2 - Proceedings of the 2004 American Control Conference (AAC)

Y2 - 30 June 2004 through 2 July 2004

ER -

Decentralized disturbance attenuation for large-scale nonlinear systems with delayed state interconnections

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this