Hamiltonian Representation of Magnetohydrodynamics for Boundary Energy Controls
Authors
Abstract
This chapter shows that basic boundary control strategies for magnetohydrodynamics (MHD) can be derived from a formal system representation, called a port-Hamiltonian system (Van der Schaft and Maschke, 2002). The port-Hamiltonian formulation clarifies collocated input/output pairs used for stabilizing and assigning a global stable point. The controls called passivity-based controls (Arimoto, 1996; Ortega et al., 1998; Van der Schaft, 2000; Duindam et al., 2009) are simple and robust to disturbances. Moreover, port-Hamiltonian systems can be connected while keeping their consistency with respect to energy flows. Finally, we show that port-Hamiltonian systems can be used for boundary controls. In the future, this theory might be specialized, for instance, in order to control disruptions of Tokamak plasmas (Wesson, 2004; Pironti and Walker, 2005; Ariola and Pironti, 2008). This chapter emphasizes the versatility of control system representations.
Citation
- ISBN: 9789535102113
- Publisher: InTech
- DOI: 10.5772/35389
BibTeX
@inbook{Nishida_2012,
title={{Hamiltonian Representation of Magnetohydrodynamics for Boundary Energy Controls}},
ISBN={9789535102113},
DOI={10.5772/35389},
booktitle={{Topics in Magnetohydrodynamics}},
publisher={InTech},
author={Nishida, Gou and Sakamoto, Noboru},
year={2012}
}