Abstract
This paper addresses the output reachable set estimation problem for continuous-time switched linear systems consisting of Hurwtiz stable subsystems. Based on a common Lyapunov function approach, the output reachable set is estimated by a union of bounding ellipsoids. Then, multiple Lyapunov functions with time-scheduled structure are employed to estimate the output reachable set for switched systems under dwell-time constraint. Furthermore, the safety verification problem of uncertain switched systems is investigated based on the result of output reachable set estimation. First, a sufficient condition ensuring the existence of an approximate bisimulation relation between two switched linear systems with a prescribed precision is proposed. Then, the safety verification for an uncertain switched system can be performed through an alternative safety verification for a switched system with exact parameters. Numerical examples are provided to illustrate our results.
| Original language | English (US) |
|---|---|
| Article number | 7894251 |
| Pages (from-to) | 5380-5387 |
| Number of pages | 8 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 62 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 2017 |
| Externally published | Yes |
Keywords
- Reachable set estimation
- safety verification
- switched system
- uncertain system
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering