Passive observers for distributed port-Hamiltonian systems

Passive trajectory control for port-Hamiltonian systems

This paper is devoted to trajectory tracking control for port-Hamiltonian systems. The control law presented here is extension of an existing passive velocity field controller for fully actuated mechanical systems. The proposed method employs vector fields on the phase (co-tangent) spaces instead of those on the velocity (tangent) spaces. Since port-Hamiltonian systems can describe a wider clas...

Distributed-Parameter Port-Hamiltonian Systems

Optimality of Passivity-Based Controls for Distributed Port-Hamiltonian Systems

This paper discusses the (inverse) optimality and practical usage of passivitybased controls for distributed port-Hamiltonian systems. We first clarify that passivity-based controls, damping assignment and potential shaping can be derived from a linear quadratic type optimal control problem. Next, we describe the limitation of passivity-based boundary controls and propose a practical usage of t...

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...

Energy-Based Control of Spatially-Discretized Distributed Port-Hamiltonian Systems

The main contribution of this paper is a procedure for the control by energy shaping of high-order port-Hamiltonian systems obtained from the spatial discretization of infinite dimensional dynamics. Beside the intrinsic difficulties related to the large number of state variables, the finite element model is generally given in terms of a Dirac structure and is completely a-causal, which implies ...