Quantized output-feedback control of nonlinear systems: A cyclic-small-gain approach

Tengfei Liu; Zhong Ping Jiang; David J. Hill

Quantized output-feedback control of nonlinear systems: A cyclic-small-gain approach

Tengfei Liu
, Zhong Ping Jiang
, David J. Hill

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

Abstract

This paper presents a fundamentally novel approach to quantized output-feedback control of nonlinear systems. The advances made toward this challenging, yet important, problem are a seamless integration of dynamic quantization and the recently developed cyclic-small-gain theorem. The constructed output-feedback quantized controller guarantees the input-to-state stability (ISS) property for the closed-loop quantized system. More interestingly, an ISS-Lyapunov function is derived and is used in the implementation of output dynamic quantization, even with a 1-bit quantizer.

Original language	English
Title of host publication	Proceedings of the 30th Chinese Control Conference, CCC 2011
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	487-492
Number of pages	6
ISBN (Print)	9789881725592
Publication status	Published - 2011
Externally published	Yes
Event	Chinese Control and Decision Conference 2011 - Sichuan Province, Mianyang, China Duration: 23 May 2011 → 25 May 2011 Conference number: 23rd https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=17917

Publication series

Name	Proceedings of the 30th Chinese Control Conference, CCC 2011

Conference

Conference	Chinese Control and Decision Conference 2011
Abbreviated title	CCDC 2011
Country/Territory	China
City	Mianyang
Period	23/05/11 → 25/05/11
Internet address	https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=17917

Keywords

Input-To-State Stability (ISS)
Nonlinear Systems
Output-Feedback
Quantized Feedback Control
Small-gain

Cite this

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title = "Quantized output-feedback control of nonlinear systems: A cyclic-small-gain approach",

abstract = "This paper presents a fundamentally novel approach to quantized output-feedback control of nonlinear systems. The advances made toward this challenging, yet important, problem are a seamless integration of dynamic quantization and the recently developed cyclic-small-gain theorem. The constructed output-feedback quantized controller guarantees the input-to-state stability (ISS) property for the closed-loop quantized system. More interestingly, an ISS-Lyapunov function is derived and is used in the implementation of output dynamic quantization, even with a 1-bit quantizer.",

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.\}",

year = "2011",

language = "English",

isbn = "9789881725592",

series = "Proceedings of the 30th Chinese Control Conference, CCC 2011",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

pages = "487--492",

booktitle = "Proceedings of the 30th Chinese Control Conference, CCC 2011",

address = "United States of America",

note = "Chinese Control and Decision Conference 2011, CCDC 2011 ; Conference date: 23-05-2011 Through 25-05-2011",

url = "https://www.ieee.org/conferences\_events/conferences/conferencedetails/index.html?Conf\_ID=17917",

}

Liu, T, Jiang, ZP & Hill, DJ 2011, Quantized output-feedback control of nonlinear systems: A cyclic-small-gain approach. in Proceedings of the 30th Chinese Control Conference, CCC 2011. Proceedings of the 30th Chinese Control Conference, CCC 2011, IEEE, Institute of Electrical and Electronics Engineers, pp. 487-492, Chinese Control and Decision Conference 2011, Mianyang, China, 23/05/11.

Quantized output-feedback control of nonlinear systems: A cyclic-small-gain approach. / Liu, Tengfei; Jiang, Zhong Ping; Hill, David J.
Proceedings of the 30th Chinese Control Conference, CCC 2011. IEEE, Institute of Electrical and Electronics Engineers, 2011. p. 487-492 (Proceedings of the 30th Chinese Control Conference, CCC 2011).

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

TY - GEN

T1 - Quantized output-feedback control of nonlinear systems

T2 - Chinese Control and Decision Conference 2011

AU - Liu, Tengfei

AU - Jiang, Zhong Ping

AU - Hill, David J.

N1 - Conference code: 23rd

PY - 2011

Y1 - 2011

N2 - This paper presents a fundamentally novel approach to quantized output-feedback control of nonlinear systems. The advances made toward this challenging, yet important, problem are a seamless integration of dynamic quantization and the recently developed cyclic-small-gain theorem. The constructed output-feedback quantized controller guarantees the input-to-state stability (ISS) property for the closed-loop quantized system. More interestingly, an ISS-Lyapunov function is derived and is used in the implementation of output dynamic quantization, even with a 1-bit quantizer.

AB - This paper presents a fundamentally novel approach to quantized output-feedback control of nonlinear systems. The advances made toward this challenging, yet important, problem are a seamless integration of dynamic quantization and the recently developed cyclic-small-gain theorem. The constructed output-feedback quantized controller guarantees the input-to-state stability (ISS) property for the closed-loop quantized system. More interestingly, an ISS-Lyapunov function is derived and is used in the implementation of output dynamic quantization, even with a 1-bit quantizer.

KW - Input-To-State Stability (ISS)

KW - Nonlinear Systems

KW - Output-Feedback

KW - Quantized Feedback Control

KW - Small-gain

UR - https://www.scopus.com/pages/publications/80053078979

M3 - Conference Paper

AN - SCOPUS:80053078979

SN - 9789881725592

T3 - Proceedings of the 30th Chinese Control Conference, CCC 2011

SP - 487

EP - 492

BT - Proceedings of the 30th Chinese Control Conference, CCC 2011

PB - IEEE, Institute of Electrical and Electronics Engineers

Y2 - 23 May 2011 through 25 May 2011

ER -

Quantized output-feedback control of nonlinear systems: A cyclic-small-gain approach

Abstract

Publication series

Conference

Keywords

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Cite this