On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems

Tobias Malzer; Hubert Rams; Markus Schöberl

doi:10.1016/j.sysconle.2020.104778

On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems

Tobias Malzer, Hubert Rams, Markus Schöberl

Institute of Control Systems

Research output: Contribution to journal › Article › peer-review

Abstract

This contribution deals with energy-based in-domain control of systems governed by partial differential equations with spatial domain up to dimension two. We exploit a port-Hamiltonian system description based on an underlying jet-bundle formalism, where we restrict ourselves to systems with 2nd-order Hamiltonian. A certain power-conserving interconnection enables the application of a dynamic control law based on structural invariants. Furthermore, we use various examples such as beams and plates with in-domain actuation to demonstrate the capability of our approach.

Original language	English
Article number	104778
Number of pages	9
Journal	Systems and Control Letters
Volume	145
DOIs	https://doi.org/10.1016/j.sysconle.2020.104778
Publication status	Published - 2020

Fields of science

202017 Embedded systems
203015 Mechatronics
101028 Mathematical modelling
202 Electrical Engineering, Electronics, Information Engineering
202003 Automation
202027 Mechatronics
202034 Control engineering

JKU Focus areas

Digital Transformation
Sustainable Development: Responsible Technologies and Management

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10.1016/j.sysconle.2020.104778

System-theoretic Analysis and Controller Design for PDEs
Kolar, B. (Researcher), Malzer, T. (Researcher) & Schöberl, M. (PI)
FWF
01.05.2017 → 31.10.2021
Project: Funded research › FWF - Austrian Science Fund

Cite this

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title = "On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems",

abstract = "This contribution deals with energy-based in-domain control of systems governed by partial differential equations with spatial domain up to dimension two. We exploit a port-Hamiltonian system description based on an underlying jet-bundle formalism, where we restrict ourselves to systems with 2nd-order Hamiltonian. A certain power-conserving interconnection enables the application of a dynamic control law based on structural invariants. Furthermore, we use various examples such as beams and plates with in-domain actuation to demonstrate the capability of our approach.",

author = "Tobias Malzer and Hubert Rams and Markus Sch{\"o}berl",

year = "2020",

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language = "English",

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journal = "Systems and Control Letters",

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AU - Malzer, Tobias

AU - Rams, Hubert

AU - Schöberl, Markus

PY - 2020

Y1 - 2020

N2 - This contribution deals with energy-based in-domain control of systems governed by partial differential equations with spatial domain up to dimension two. We exploit a port-Hamiltonian system description based on an underlying jet-bundle formalism, where we restrict ourselves to systems with 2nd-order Hamiltonian. A certain power-conserving interconnection enables the application of a dynamic control law based on structural invariants. Furthermore, we use various examples such as beams and plates with in-domain actuation to demonstrate the capability of our approach.

AB - This contribution deals with energy-based in-domain control of systems governed by partial differential equations with spatial domain up to dimension two. We exploit a port-Hamiltonian system description based on an underlying jet-bundle formalism, where we restrict ourselves to systems with 2nd-order Hamiltonian. A certain power-conserving interconnection enables the application of a dynamic control law based on structural invariants. Furthermore, we use various examples such as beams and plates with in-domain actuation to demonstrate the capability of our approach.

U2 - 10.1016/j.sysconle.2020.104778

DO - 10.1016/j.sysconle.2020.104778

M3 - Article

SN - 1872-7956

VL - 145

JO - Systems and Control Letters

JF - Systems and Control Letters

M1 - 104778

ER -

On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems

Abstract

Fields of science

JKU Focus areas

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Projects

System-theoretic Analysis and Controller Design for PDEs

Cite this