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

Other

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

Fingerprint

Stabilization
Feedback control
Feedback

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] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2017.7963759

Stabilization of interconnected switched control-affine systems via a Lyapunov-based small-gain approach. / Yang, Guosong; Liberzon, Daniel; Jiang, Zhong-Ping.

2017 American Control Conference, ACC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 5182-5187 7963759.

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

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., 7963759, Institute of Electrical and Electronics Engineers Inc., pp. 5182-5187, 2017 American Control Conference, ACC 2017, Seattle, United States, 5/24/17. https://doi.org/10.23919/ACC.2017.7963759
Yang G, Liberzon D, Jiang Z-P. Stabilization of interconnected switched control-affine systems via a Lyapunov-based small-gain approach. In 2017 American Control Conference, ACC 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 5182-5187. 7963759 https://doi.org/10.23919/ACC.2017.7963759
Yang, Guosong ; Liberzon, Daniel ; Jiang, Zhong-Ping. / Stabilization of interconnected switched control-affine systems via a Lyapunov-based small-gain approach. 2017 American Control Conference, ACC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 5182-5187
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