Observer Design for a Class of Nonlinear Hamiltonian Systems

Abstract

In this paper, the observer design problem for Port-Controlled Hamiltonian systems is approached. It is considered a particular class of these systems and a full-order order observer is proposed which belongs to the Structure Preserving approach since it is a copy of the original system with an output corrective term. Concerning the class of systems, it corresponds to nonlinear systems that exhibit nonlinearities given by the products between components of the state vector. The fact that this kind of behavior corresponds to a special property of the interconnection matrix is exploited to obtain a representation for the estimation error dynamics that is suitable to formally state the convergence properties of the observer. The usefulness of the contribution is illustrated by solving the speed observation problem for a Permanent Magnet Synchronous Motor.