Potential Function Design for Path Following Control of Port-Hamiltonian Systems via Generalized Canonical Transformations

Abstract

This paper describes a procedure to design potential functions for path following control of port-Hamiltonian systems. The conventional path following control method needs to find a time invariant potential function which takes its minimum on the desired path. It is difficult to find such a function for a complex path, since it has to satisfy additional several constraints. Inspired by the results of the existing trajectory tracking control method of port-Hamiltonian systems, we propose an improved path following control method in which a potential function for path following control is acquired by solving simple partial differential equations.