Small-gain based output-feedback controller design for a class of nonlinear systems with actuator dynamic quantization

Tengfei Liu; Zhong Ping Jiang; David J. Hill

doi:10.1109/TAC.2012.2191870

Small-gain based output-feedback controller design for a class of nonlinear systems with actuator dynamic quantization

Tengfei Liu, Zhong Ping Jiang, David J. Hill

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

This technical note presents a novel recursive design approach for output-feedback control of a class of nonlinear systems with actuator quantization. The recently developed cyclic-small-gain theorem is employed to guarantee the input-to-state stability (ISS) of the closed-loop system, along with the construction of an ISS-Lyapunov function. Actuator dynamic quantization is designed based on the ISS-Lyapunov function.

Original language	English (US)
Article number	6174448
Pages (from-to)	1326-1332
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	57
Issue number	5
DOIs	https://doi.org/10.1109/TAC.2012.2191870
State	Published - May 2012

Keywords

Input-to-state stability (ISS)
nonlinear systems
output-feedback
quantized feedback control
small-gain

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/TAC.2012.2191870

Cite this

@article{c067ef9c00ab4204bc161d952f808dd1,

title = "Small-gain based output-feedback controller design for a class of nonlinear systems with actuator dynamic quantization",

abstract = "This technical note presents a novel recursive design approach for output-feedback control of a class of nonlinear systems with actuator quantization. The recently developed cyclic-small-gain theorem is employed to guarantee the input-to-state stability (ISS) of the closed-loop system, along with the construction of an ISS-Lyapunov function. Actuator dynamic quantization is designed based on the ISS-Lyapunov function.",

keywords = "Input-to-state stability (ISS), nonlinear systems, output-feedback, quantized feedback control, small-gain",

author = "Tengfei Liu and Jiang, {Zhong Ping} and Hill, {David J.}",

note = "Funding Information: Manuscript received April 19, 2010; revised December 18, 2010, April 26, 2011, and July 07, 2011; accepted September 25, 2011. Date of publication March 23, 2012; date of current version April 19, 2012. This work was supported in part under the Australian Research Councils Discovery funding scheme (project FF0455875), a seed grant from NYU and POLY, and by NSF grant DMS-0906659. Recommended by Associate Editor D. Liberzon.",

year = "2012",

month = may,

doi = "10.1109/TAC.2012.2191870",

language = "English (US)",

volume = "57",

pages = "1326--1332",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

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

number = "5",

}

TY - JOUR

T1 - Small-gain based output-feedback controller design for a class of nonlinear systems with actuator dynamic quantization

AU - Liu, Tengfei

AU - Jiang, Zhong Ping

AU - Hill, David J.

N1 - Funding Information: Manuscript received April 19, 2010; revised December 18, 2010, April 26, 2011, and July 07, 2011; accepted September 25, 2011. Date of publication March 23, 2012; date of current version April 19, 2012. This work was supported in part under the Australian Research Councils Discovery funding scheme (project FF0455875), a seed grant from NYU and POLY, and by NSF grant DMS-0906659. Recommended by Associate Editor D. Liberzon.

PY - 2012/5

Y1 - 2012/5

N2 - This technical note presents a novel recursive design approach for output-feedback control of a class of nonlinear systems with actuator quantization. The recently developed cyclic-small-gain theorem is employed to guarantee the input-to-state stability (ISS) of the closed-loop system, along with the construction of an ISS-Lyapunov function. Actuator dynamic quantization is designed based on the ISS-Lyapunov function.

AB - This technical note presents a novel recursive design approach for output-feedback control of a class of nonlinear systems with actuator quantization. The recently developed cyclic-small-gain theorem is employed to guarantee the input-to-state stability (ISS) of the closed-loop system, along with the construction of an ISS-Lyapunov function. Actuator dynamic quantization is designed based on the ISS-Lyapunov function.

KW - Input-to-state stability (ISS)

KW - nonlinear systems

KW - output-feedback

KW - quantized feedback control

KW - small-gain

UR - http://www.scopus.com/inward/record.url?scp=84859102043&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859102043&partnerID=8YFLogxK

U2 - 10.1109/TAC.2012.2191870

DO - 10.1109/TAC.2012.2191870

M3 - Article

AN - SCOPUS:84859102043

SN - 0018-9286

VL - 57

SP - 1326

EP - 1332

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 5

M1 - 6174448

ER -

Small-gain based output-feedback controller design for a class of nonlinear systems with actuator dynamic quantization

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this