Generalized state space averaging for port controlled hamiltonian systems
| Authors: | Batlle Carles, Technical University of Catalonia, Spain
Fossas Enric, Technical University of Catalonia, Spain
Griñó Robert, Technical University of Catalonia, Spain
Martínez Sonia, University of California at Santa Barbara, Spain |
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| Topic: | 2.3 Non-Linear Control Systems |
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| Session: | Nonlinear Control in Physics and Mechanics |
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| Keywords: | variable structure systems,generalized state space,phase space,converters |
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Abstract
Generalized state space averaging (GSSA) is a powerful way totreat analysis and control problems for variable structure systems(VSS). On the other hand, port-controlled hamiltonian systems(PCHS) describe, in a modular, network-like way, theinterconnection of physical systems using the transfer of energyas the unifying concept. In this paper, a relationship between thePCHS structures of a system and its GSSA expansion is establishedfor a class of hamiltonians (which includes the quadratic ones),and this is used to design controls from a GSSA truncation which,under certain restrictions, can be used for the full originalsystem.
