GEOPLEX: GSSA and VSS models
This report describes some aspects of the theory of Variable Structure Systems (VSS). It starts with the state-of-the-art classical methods of control and evolves to a description based on average port Hamiltonian models. In the framework of GEOPLEX, VSS appears due to the fact that some of the plan...
| Autores: | , , , , , |
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/396 |
| Acceso en línea: | https://hdl.handle.net/2117/396 |
| Access Level: | acceso abierto |
| Palabra clave: | Electrical energy GEOPLEX GSSA VSS Convertidors de potència SAA State Space averaging Variable Structure Systems Sliding mode control SMC Convertidores de potencia Sistemas hamiltonianos Sistemes hamiltonians Hamiltonian systems Power converters Control automàtic -- Informes tècnics Àrees temàtiques de la UPC::Energies::Energia elèctrica::Automatització i control de l’energia elèctrica |
| Sumario: | This report describes some aspects of the theory of Variable Structure Systems (VSS). It starts with the state-of-the-art classical methods of control and evolves to a description based on average port Hamiltonian models. In the framework of GEOPLEX, VSS appears due to the fact that some of the plants of interest are controlled using power converters, which are systems, changing between several circuits topologies. In section 2, the basic ideas of Sliding Mode Control (SMC) for VSS are presented, and a somewhat detailed exposition of its application to the control of a power converter is given. Most of section 3 is unpublished material, describing some preliminary results about the relation between (generalized) averaging and the port Hamiltonian description. The fundamentals of State Space Averaging (SSA) and Generalized Space State Averaging (GSSA) are presented, and averaged port Hamiltonian models for second order power converters are introduced. There is a summary of some rigorous mathematical results about GSSA, and a relationship between the Hamiltonians of the GSSA models and the original Hamiltonian is established for systems with quadratic Hamiltonian functions. |
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