Geometric control of hybrid systems
| Autor: | Legat, Benoît, Jungers, Raphaël M. |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we present a geometric approach for computing controlled invariant sets for hybrid control systems. While the problem is well studied in the ellipsoidal case, this family is quite conservative for constrained or switched linear systems. We reformulate the invariance of a set as an inequality for its support function that is valid for any convex set. This produces novel algebraic conditions for the invariance of sets with polynomial or piecewise quadratic support function. Comment: 20 pages, 2 figures, submitted to Nonlinear Analysis: Hybrid Systems (NAHS). arXiv admin note: substantial text overlap with arXiv:2101.06990 |
| Databáze: | arXiv |
| Externí odkaz: |
|