Abstract
We study quadratic stabilizability via state and output feedback for switched systems composed of several discrete-time linear time-invariant subsystems, under the assumption that all subsystem matrices are unstable. We derive a sufficient condition expressed as a matrix inequality under which the switched system is quadratically stabilizable via state-based switching strategy, and we show the sufficient condition is also necessary if the number of subsystems is two. When a robust detectability condition is satisfied in addition to the sufficient condition, we construct a quadratically stabilizing switching strategy based on the measurement output.
| Original language | English |
|---|---|
| Pages (from-to) | 2165-2166 |
| Number of pages | 2 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| Publication status | Published - 2001 Dec 1 |
| Externally published | Yes |
| Event | 40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: 2001 Dec 4 → 2001 Dec 7 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization