FROM NONLINEAR SYSTEMS TO PORT CONTROLLED HAMILTONIAN SYSTEMS

From Nonlinear Systems to Port Controlled Hamiltonian Systems

This paper gives necessary and sufficient conditions under which an affine nonlinear system is feedback equivalent to a port controlled Hamiltonian system. In particular, we identify the minimum number of linear partial differential equations that need to be solved to achieve this transformation. Copyright c ©2005 IFAC.

Port-controlled Hamiltonian systems: towards a theory for control and design of nonlinear physical systems

It is shown how network modeling of lumped-parameter physical systems naturally leads to a geometrically defined class of systems, called port-controlled Hamiltonian systems with dissipation. The structural properties of these systems are discussed, in particular the existence of Casimir functions and their implications for stability. It is shown how a power-conserving interconnection of port-c...

Discrete port-Hamiltonian systems

Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems...

Moment matching for nonlinear port Hamiltonian and gradient systems ⋆

The problem of moment matching with preservation of port Hamiltonian and gradient structure is studied. Based on the time-domain approach to linear moment matching, we characterize the (subset of) port Hamiltonian/gradient models from the set of parameterized models that match the moments of a given port Hamiltonian/gradient system, at a set of finite points.

Distributed-Parameter Port-Hamiltonian Systems