Summary

International Symposium on Nonlinear Theory and its Applications

2005

Session Number:3-1-1

Session:

Number:3-1-1-1

Stability and stabilization of mixed lumped and distributed parameter systems

R. Pasumarthy,  A. J. van der Schaft,  

pp.675-678

Publication Date:2005/10/18

Online ISSN:2188-5079

DOI:10.34385/proc.40.3-1-1-1

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Summary:
We study boundary control systems which are represented as port-Hamiltonian systems with respect to an infinite-dimensional Dirac structure. Interconnection of such systems with lumped parameter dissipative systems again defines a port-Hamiltonian system. Typical example is a power-drive consisting of a power converter, transmission line and electrical machine. We study the stability properties of such systems using the total Hamiltonian and other conserved quantities determined by the Dirac structure, and explore their control within this context.