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

Tengfei Liu, Zhong Ping Jiang, David J. Hill

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
StatePublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
ISSN (Print)1474-6670


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

ASJC Scopus subject areas

  • Control and Systems Engineering


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