Abstract
Through recent research combining the geometric
desingularization or blow-up method and classical
control tools, it has been possible to locally stabilize nonhyperbolic
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
desingularization or blow-up method and classical
control tools, it has been possible to locally stabilize nonhyperbolic
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 - 2-Apr-2018 |
Keywords
- Singular perturbation methods, slow-fast systems, region of attraction, nonlinear control systems