Abstract
We consider quadratic stabilization for switched systems which are composed of a finite set of linear sub-systems with norm bounded uncertainties. Assuming that no single subsystem has desired quadratic stability, we show that if a convex combination of subsystems is quadratically stable, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is quadratically stable. When the state information is not available, we extend the discussion to design an output-dependent switching law by constructing a robust Luenberger observer.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 4727-4731 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781538612439 |
| DOIs | |
| Publication status | Published - 2018 Jul 6 |
| Event | 30th Chinese Control and Decision Conference, CCDC 2018 - Shenyang, China Duration: 2018 Jun 9 → 2018 Jun 11 |
Other
| Other | 30th Chinese Control and Decision Conference, CCDC 2018 |
|---|---|
| Country | China |
| City | Shenyang |
| Period | 18/6/9 → 18/6/11 |
Keywords
- convex combination
- LMIs
- norm bounded uncertainties
- output-dependent switching
- quadratic stabilization
- state-dependent switching
- Switched linear systems (SLS)
ASJC Scopus subject areas
- Artificial Intelligence
- Computer Science Applications
- Control and Optimization
- Decision Sciences (miscellaneous)
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Cite this
Chang, Y., Fu, B., & Zhai, G. (2018). Quadratic Stabilization of Switched Uncertain Linear Systems. In Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018 (pp. 4727-4731). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2018.8407949