Technische Universität Ilmenau

Port-Hamiltonian Systems - Interactive curriculae of TU Ilmenau

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Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).

You can find all details on planned lectures and classes in the course catalogue.

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module properties Port-Hamiltonian Systems in degree program Master Technische Kybernetik und Systemtheorie 2021
module number201156
examination number2400880
departmentDepartment of Mathematics and Natural Sciences
ID of group 2416 (Analysis and Dynamical Systems)
module leaderProf. Dr. Timo Reis
term summer term only
languageDeutsch
credit points5
on-campus program (h)34
self-study (h)116
obligationelective module
examoral examination performance, 30 minutes
details of the certificate
link to Moodle course
teacher
signup details for alternative examinations
maximum number of participants
previous knowledge and experience

Grundvorlesungen in Analysis und Lineare Algebra

learning outcome

Die Studierenden kennen nach der Vorlesung die Grundlagen der port-Hamiltonschen Systeme. Sie besitzen die Fähigkeit, die allgemeinen Resultate auf Spezialfälle anzuwenden. Sie können konkrete Anwendungsbeispiele analysieren. Sie wissen, wie physikalische Systeme mittels port-Hamiltonschen Systemen modelliert werden.

content

Modellierung mit port-Hamiltonschen Systemen
Port-Hamiltonsche System auf Mannigfaltigkeiten
Dirac-Strukturen
Gekoppelte port-Hamiltonsche Systeme
port-Hamiltonsche Systeme Eingangs-Zustands-Ausgangs-Systeme
Steuerung und Regelung port-Hamiltonscher Systeme

media of instruction and technical requirements for education and examination in case of online participation

Tafel, Beamer

literature / references

van der Schaft, Arjan; Jeltsema, Dimitri: "Port-Hamiltonian Systems Theory: An Introductory Overview".
J.C. Willems, "Dissipative dynamical systems. Part I: General theory", Arch. Rat. Mech. and Analysis, 45(5): 321-351, 1972.
J.C. Willems, "Dissipative dynamical systems. Part II: Linear systems with quadratic supply rates", Arch. Rat.Mech. and Analysis, 45(5): 352-393, 1972.
J.C. Willems, "The behavioral approach to open and interconnected systems", Control Systems Magazine, 27, Dec. 2007, pp. 46-99.
J.C. Willems, "Terminals and ports", IEEE Circuits and Systems Magazine, 10(4):8-16, December 2010.

evaluation of teaching