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Robust Regulation for First-Order Port-Hamiltonian Systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


Original languageEnglish
Title of host publicationProceedings of the 15th European Control Conference, Aalborg, Denmark, June 29th - July 1st, 2016
Number of pages6
ISBN (Electronic)978-1-5090-2590-9
Publication statusPublished - 2016
Publication typeA4 Article in a conference publication
EventEuropean Control Conference -
Duration: 1 Jan 1900 → …


ConferenceEuropean Control Conference
Period1/01/00 → …


We present a method for obtaining robust control over a first-order port-Hamiltonian system. The presented method is especially designed for controlling impedance energy-preserving port- Hamiltonian systems. By combining the stabilization results of port-Hamiltonian systems and the theory of robust output regulation for exponentially stable systems, we design a simple finite-dimensional controller for an unstable system that together with output feedback achieves robust output regulation. The method is demonstrated on an example where we implement a robust regulating controller for the one-dimensional wave equation with boundary control and observation.

ASJC Scopus subject areas


  • Robust output regulation, port-Hamiltonian systems

Publication forum classification

Field of science, Statistics Finland