Name
Abstract | ||
|---|---|---|
In this document, we deal with the local asymptotic stabilization problem of a class of slow–fastsystems (or singularly perturbed Ordinary Differential Equations). The systems studied here have the following properties: (1) they have one fast and an arbitrary number of slow variables, and (2) they have a non-hyperbolic singularity at the origin of arbitrary degeneracy. Our goal is to stabilize such a point. The presence of the aforementioned singularity complicates the analysis and the controller design. In particular, the classical theory of singular perturbations cannot be used. We propose a novel design based on geometric desingularization, which allows the stabilization of a non-hyperbolic point of singularly perturbed control systems. Our results are exemplified on a didactic example and on an electric circuit. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.automatica.2018.10.008 | Automatica |
Keywords | Field | DocType |
Nonlinear control,Slow–fast systems,Singular perturbations | Applied mathematics,Ordinary differential equation,Controller design,Control theory,Singularity,Degeneracy (mathematics),Control system,Electronic circuit,Mathematics,Perturbation (astronomy) | Journal |
Volume | Issue | ISSN |
99 | 1 | 0005-1098 |
Citations | PageRank | References |
2 | 0.36 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hildeberto Jardón-Kojakhmetov | 1 | 2 | 0.70 |
| Jacquelien M. A. Scherpen | 2 | 491 | 95.93 |
| Dunstano del Puerto-Flores | 3 | 10 | 2.93 |