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

Tengfei Liu, Zhong-Ping Jiang, David J. Hill

Research output: Contribution to journalArticle

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 a neighborhood of the origin with its size slightly larger than the quantization error near the origin.

Original languageEnglish (US)
Pages (from-to)145-152
Number of pages8
JournalAutomatica
Volume48
Issue number1
DOIs
StatePublished - Jan 2012

Fingerprint

Feedback control
Nonlinear systems
Control systems
Closed loop systems
Feedback
Controllers

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

A sector bound approach to feedback control of nonlinear systems with state quantization. / Liu, Tengfei; Jiang, Zhong-Ping; Hill, David J.

In: Automatica, Vol. 48, No. 1, 01.2012, p. 145-152.

Research output: Contribution to journalArticle

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