Abstract
Through recent research combining the Geometric Desingularization method and classical control tools, it has been possible to locally stabilize non-hyperbolic points of singularly perturbed control systems. In this letter we propose a simple method to enlarge the region of attraction of a non-hyperbolic point in the aforementioned setting by expanding the geometric analysis around the singularity. In this way, we can synthesize improved controllers that stabilize non-hyperbolic points within a large domain of attraction. Our theoretical results are showcased in a couple of numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 296-301 |
| Number of pages | 6 |
| Journal | IEEE Control Systems Letters |
| Volume | 2 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr-2018 |
| Event | 57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018 - The Fontainebleau in Miami Beach, FL, USA. , Miami Beach, Florida, United States Duration: 17-Dec-2018 → 19-Dec-2018 |
Keywords
- Singular perturbation methods, slow-fast systems, region of attraction, nonlinear control systems