On the geometrical representation and interconnection of infinite dimensional port controlled Hamiltonian systems

被引:0
|
作者
Ennsbrunner, Helmut [1 ]
Schlacher, Kurt [1 ]
机构
[1] Johannes Kepler Univ, Inst Automat Control & Control Syst, A-4040 Linz, Austria
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This contribution is dedicated to the geometrical representation of infinite dimensional port controlled Hamiltonian systems. After an introduction of the used mathematical framework, a review on a well established geometrical representation of finite dimensional port controlled Hamiltonian systems is given. These results are in the subsequent analysis extended to the infinite dimensional case. After that the interconnection properties of the proposed description is under investigation. Additionally the developed theory is applied to the derivation of a PCH representation of a membrane interconnected with a string. Finally some concluding remarks are given and future interests are defined.
引用
收藏
页码:5263 / 5268
页数:6
相关论文
共 50 条
  • [1] On the Control by Interconnection and Exponential Stabilisation of Infinite Dimensional Port-Hamiltonian Systems
    Macchelli, Alessandro
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 3137 - 3142
  • [2] Port Hamiltonian formulation of infinite dimensional systems II. Boundary control by interconnection
    Macchelli, A
    van der Schaft, AJ
    Melchiorri, C
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3768 - 3773
  • [3] Scattering for infinite dimensional port Hamiltonian systems
    Macchelli, A
    Stramigioli, S
    van der Schaft, A
    Melchiorri, C
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 4581 - 4586
  • [4] Control by Interconnection Beyond the Dissipation Obstacle of Finite and Infinite Dimensional Port-Hamiltonian Systems
    Macchelli, Alessandro
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 2489 - 2494
  • [5] Infinite Dimensional Port Hamiltonian Representation of reaction diffusion processes
    Zhou, W.
    Hamroun, B.
    Le Gorrec, Y.
    Couenne, F.
    IFAC PAPERSONLINE, 2015, 48 (01): : 476 - 481
  • [6] Port controlled Hamiltonian representation of distributed parameter systems
    Maschke, BMJ
    van der Schaft, AJ
    LAGRANGIAN AND HAMILTONIAN METHODS FOR NONLINEAR CONTROL, 2000, : 27 - 37
  • [7] Interconnection of irreversible port Hamiltonian systems☆
    Ramirez, Hector
    Le Gorrec, Yann
    AUTOMATICA, 2024, 170
  • [8] Constructive Interconnection and Damping Assignment for Port-Controlled Hamiltonian Systems
    Nunna, Kameswarie
    Sassano, Mario
    Astolfi, Alessandro
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (09) : 2350 - 2361
  • [9] Distributed Control for Infinite Dimensional Port-Hamiltonian Systems
    Macchelli, Alessandro
    IFAC PAPERSONLINE, 2021, 54 (19): : 52 - 57
  • [10] On the interconnection of irreversible port-Hamiltonian systems
    Ramirez, Hector
    Le Gorrec, Yann
    IFAC PAPERSONLINE, 2023, 56 (01): : 114 - 119