Control of Port-Hamiltonian Systems

Arjan van der Schaft*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review


In this chapter, we will exploit the port-Hamiltonian structure for control, going beyond passivity. We will mainly concentrate on the problem of set-point stabilization. Section 7.1 focusses on control by interconnection, by attaching a controller port-Hamiltonian system to the plant port-Hamiltonian system. Section 7.2 takes a different perspective by emphasizing direct shaping of the Hamiltonian and the structure matrices by state feedback. Other control opportunities will be indicated in Sect. 7.3; see also the Notes at the end of this chapter.

Original languageEnglish
Title of host publicationL2-Gain and Passivity Techniques in Nonlinear Control
Subtitle of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Number of pages25
ISBN (Electronic) 978-3-319-49992-5
ISBN (Print) 978-3-319-49991-8, 978-3-319-84294-3
Publication statusPublished - 2017

Publication series

NameCommunications and Control Engineering
ISSN (Print)0178-5354
ISSN (Electronic)2197-7119

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