Stabilization of interconnected switched control-affine systems via a Lyapunov-based small-gain approach

Guosong Yang, Daniel Liberzon, Zhong Ping Jiang

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

Abstract

We study the feedback stabilization of interconnected switched control-affine systems with both input-to-state stable (ISS) and non-ISS modes. Provided that the switching is slow in the sense of average dwell-time and the active time of non-ISS modes is short in proportion, suitable feedback controls are designed to achieve input-to-state practical stability (ISpS) with an arbitrarily small constant. We devise such feedback controls by extending a previous small-gain theorem on stability of interconnected switched systems to the ISpS context, and proposing a novel Lyapunov-based gain-assignment scheme.

Original languageEnglish (US)
Title of host publication2017 American Control Conference, ACC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5182-5187
Number of pages6
ISBN (Electronic)9781509059928
DOIs
StatePublished - Jun 29 2017
Event2017 American Control Conference, ACC 2017 - Seattle, United States
Duration: May 24 2017May 26 2017

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2017 American Control Conference, ACC 2017
CountryUnited States
CitySeattle
Period5/24/175/26/17

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Yang, G., Liberzon, D., & Jiang, Z. P. (2017). Stabilization of interconnected switched control-affine systems via a Lyapunov-based small-gain approach. In 2017 American Control Conference, ACC 2017 (pp. 5182-5187). [7963759] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2017.7963759