Zero Dynamics for Port-Hamiltonian Systems
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The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems are studied. A complete characterization of the zero dynamics for a port-Hamiltonian systems with invertible feedthrough as another port-Hamiltonian system on the same state space is given. It is shown that the zero dynamics for any port-Hamiltonian system with commensurate wave speeds are well-defined, and are also a port-Hamiltonian system. Examples include wave equations with uniform wave speed on a network. A constructive procedure for calculation of the zero dynamics, that can be used for very large system order, is provided.
Cite this work
Birgit Jacob, Kirsten Morris, Hans Zwart (2017). Zero Dynamics for Port-Hamiltonian Systems. UWSpace. http://hdl.handle.net/10012/12655