| Títol: | Iterative approximation of unstable limit cycles for a class of Abel equations |
| Autor: | Fossas Colet, Enric
Olm Miras, Josep Maria
Sira-Ramírez, Hebertt |
| Altres autors/autores: | Universitat Politècnica de Catalunya. Institut d'Organització i Control de Sistemes Industrials |
| Matèries: | Àrees temàtiques de la UPC::Informàtica::Automàtica i control
Equations, Abelian
Electric current converters
Abel equations
Limit cycles
Contractive mappings
Nonminimum phase systems
Power converters
Convertidors de corrent elèctric |
| Tipus de document: | External research report |
| Descripció: | This report considers the analytical approximation of unstable limit cycles that may appear in Abel equations written in the normal form. The procedure uses an iterative approach that takes advantage of the contraction mapping theorem. Thus, the obtained sequence exhibits uniform convergence to the target periodic solution. The effectiveness of the technique is illustrated through the approximation of an unstable limit cycle that appears in an Abel equation arising in a tracking control problem that affects an elementary, nonminimum phase, second order bilinear power converter. |
| Altres identificadors i accés: | http://hdl.handle.net/2117/1384 |
| Disponible al dipòsit: | E-prints UPC
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