Quantized nonlinear control-A cyclic-small-gain approach

Tengfei Liu, Zhong Ping Jiang

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

Abstract

The problem of controlling systems through quantized communication channels has recently attracted a lot of attention from the controls community. The strong nonlinear characteristics of quantization such as discontinuity and saturation cause the major difficulties of quantized control. This paper reviews the results available in the literature of quantized control of linear and nonlinear systems, and specifically discusses the design techniques for quantized nonlinear control. With quantization considered as perturbation, robust control design ideas play an important role in quantized nonlinear control. We discuss how the quantized control problems are handled by modifying the robust nonlinear control techniques. In particular, it is shown that the notion of input-to-state stability (ISS) and its small-gain methods are quite powerful for quantized control of high-order nonlinear systems due to the capability of dealing with uncertainty, strong nonlinearity and interconnections. The paper ends with some future research directions of quantized nonlinear control. While many classical tools could be used for the future development, the ISS small-gain methods turn out to be fundamental in handling the complexity caused by quantization.

Original languageEnglish (US)
Title of host publicationProceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2276-2282
Number of pages7
EditionMarch
ISBN (Electronic)9781479958252
DOIs
StatePublished - Mar 2 2015
Event2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 - Shenyang, China
Duration: Jun 29 2014Jul 4 2014

Publication series

NameProceedings of the World Congress on Intelligent Control and Automation (WCICA)
NumberMarch
Volume2015-March

Other

Other2014 11th World Congress on Intelligent Control and Automation, WCICA 2014
CountryChina
CityShenyang
Period6/29/147/4/14

Keywords

  • Input-to-state stability
  • Nonlinear systems
  • Quantized control
  • Small-gain theorem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Computer Science Applications

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  • Cite this

    Liu, T., & Jiang, Z. P. (2015). Quantized nonlinear control-A cyclic-small-gain approach. In Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014 (March ed., pp. 2276-2282). [7053076] (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); Vol. 2015-March, No. March). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/WCICA.2014.7053076