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 | |
| 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 | United States |
| City | Seattle |
| Period | 5/24/17 → 5/26/17 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering
Fingerprint Dive into the research topics of 'Stabilization of interconnected switched control-affine systems via a Lyapunov-based small-gain approach'. Together they form a unique fingerprint.
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