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

Guosong Yang; Daniel Liberzon; Zhong Ping Jiang

doi:10.23919/ACC.2017.7963759

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

Guosong Yang, Daniel Liberzon, Zhong Ping Jiang

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	2017 American Control Conference, ACC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5182-5187
Number of pages	6
ISBN (Electronic)	9781509059928
DOIs	https://doi.org/10.23919/ACC.2017.7963759
State	Published - Jun 29 2017
Event	2017 American Control Conference, ACC 2017 - Seattle, United States Duration: May 24 2017 → May 26 2017

Publication series

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

Other

Other	2017 American Control Conference, ACC 2017
Country/Territory	United States
City	Seattle
Period	5/24/17 → 5/26/17

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.23919/ACC.2017.7963759

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). Article 7963759 (Proceedings of the American Control Conference). 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 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yang, G, Liberzon, D & Jiang, ZP 2017, Stabilization of interconnected switched control-affine systems via a Lyapunov-based small-gain approach. in 2017 American Control Conference, ACC 2017., 7963759, Proceedings of the American Control Conference, 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

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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.",

author = "Guosong Yang and Daniel Liberzon and Jiang, {Zhong Ping}",

note = "Funding Information: This work was supported by the NSF grants ECCS-1231196 and ECCS-1230040. Publisher Copyright: {\textcopyright} 2017 American Automatic Control Council (AACC).; 2017 American Control Conference, ACC 2017 ; Conference date: 24-05-2017 Through 26-05-2017",

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

Abstract

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