A sector bound approach to feedback control of nonlinear systems with state quantization

Tengfei Liu; Zhong Ping Jiang; David J. Hill

doi:10.3182/20110828-6-IT-1002.01701

A sector bound approach to feedback control of nonlinear systems with state quantization

Tengfei Liu, Zhong Ping Jiang, David J. Hill

Electrical and Computer Engineering

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

Abstract

This paper studies the feedback control problem of nonlinear systems in strict-feedback form with state quantizers, which are static and bounded by sectors. Through a novel set-valued map based recursive control design approach, the quantized control system is transformed into an interconnection of several input-to-state stable (ISS) subsystems. The ISS property of the closed-loop system is guaranteed by the recently developed cyclic-small-gain theorem. With an appropriately designed quantized controller, the output of the quantized control system can be steered to within an arbitrarily small neighborhood of the origin.

Original language	English (US)
Title of host publication	Proceedings of the 18th IFAC World Congress
Publisher	IFAC Secretariat
Pages	4654-4659
Number of pages	6
Edition	1 PART 1
ISBN (Print)	9783902661937
DOIs	https://doi.org/10.3182/20110828-6-IT-1002.01701
State	Published - 2011

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	44
ISSN (Print)	1474-6670

Keywords

Input-to-state stability (ISS)
Nonlinear systems
Sector bound
Small-gain
State quantization

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20110828-6-IT-1002.01701

Cite this

A sector bound approach to feedback control of nonlinear systems with state quantization. / Liu, Tengfei; Jiang, Zhong Ping; Hill, David J.
Proceedings of the 18th IFAC World Congress. 1 PART 1. ed. IFAC Secretariat, 2011. p. 4654-4659 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1).

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

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AB - This paper studies the feedback control problem of nonlinear systems in strict-feedback form with state quantizers, which are static and bounded by sectors. Through a novel set-valued map based recursive control design approach, the quantized control system is transformed into an interconnection of several input-to-state stable (ISS) subsystems. The ISS property of the closed-loop system is guaranteed by the recently developed cyclic-small-gain theorem. With an appropriately designed quantized controller, the output of the quantized control system can be steered to within an arbitrarily small neighborhood of the origin.

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A sector bound approach to feedback control of nonlinear systems with state quantization

Abstract

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Keywords

ASJC Scopus subject areas

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