Abstract
This paper proposes an approach to build a reduced order model for a Switched Affine (SA) system. The main idea is to transform the SA system into an equivalent Switched Linear (SL) system with state reset, and then apply balanced truncation to each mode and redefine the reset maps so as to best reproduce the free evolution of the system output. A randomized method is proposed for order selection in the case when the input is stochastic and one is interested in reproducing the output of the original SA system over a finite time-horizon. The performance of the approach is shown on a benchmark example.
| Original language | English |
|---|---|
| Title of host publication | HSCC '14 |
| Publisher | Association for Computing Machinery (ACM) |
| Pages | 113-122 |
| Number of pages | 10 |
| ISBN (Print) | 978-1-4503-2732-9 |
| DOIs | |
| Publication status | Published - 2014 |
| Event | 17th International Conference on Hybrid Systems: Computation and Control - Berlin, Germany Duration: 2014 Apr 15 → … |
Conference
| Conference | 17th International Conference on Hybrid Systems: Computation and Control |
|---|---|
| Country/Territory | Germany |
| City | Berlin |
| Period | 2014/04/15 → … |
Subject classification (UKÄ)
- Control Engineering
Free keywords
- Model reduction
- Switched systems
- Randomized algorithms