Explicit Port-Hamiltonian Formulation of Bond Graphs with Dependent Storages

被引:1
作者
Pfeifer, Martin [1 ]
Caspart, Sven [2 ]
Muller, Charles [1 ]
Pfeiffer, Silja [1 ]
Krebs, Stefan [1 ]
Hohmann, Soeren [1 ]
机构
[1] Karlsruhe Inst Technol KIT, Inst Control Syst IRS, Kaiserstr 12, D-76131 Karlsruhe, Germany
[2] Karlsruhe Inst Technol KIT, Inst Algebra & Geometry IAG, Kaiserstr 12, D-76131 Karlsruhe, Germany
来源
IFAC PAPERSONLINE | 2020年 / 53卷 / 02期
关键词
Port-Hamiltonian systems; bond graphs; dependent storages; state-space models; model generation; PASSIVITY-BASED CONTROL; OBSERVER DESIGN; INTERCONNECTION;
D O I
10.1016/j.ifacol.2020.12.1570
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Explicit port-Hamiltonian systems (PHSs) are the starting point for many powerful controller and observer design methods. It is well-known that explicit PHSs can be formulated on the basis of bond graphs. Indeed, the port-Hamiltonian formulation of bond graphs without dependent storages has been well investigated. However, little effort has been made towards bond graphs with dependent storages. This is a problem as dependent storages frequently occur in models from many engineering fields. In this paper, we address the explicit port-Hamiltonian formulation of bond graphs with dependent storages. Our idea is to express the port-Hamiltonian dynamics and output as functions of only the system inputs and independent storages. The main result is a rigorous and constructive method to formulate bond graphs containing dependent storages as explicit PHSs. An acadamic example illustrates and verifies our method. Copyright (C) 2020 The Authors.
引用
收藏
页码:5579 / 5585
页数:7
相关论文
共 18 条
  • [1] Borutzky W, 2010, BOND GRAPH METHODOLGY: DEVELOPMENT AND ANALYSIS OF MULTIDISCIPLINARY DYNAMIC SYSTEM MODELS, P1, DOI 10.1007/978-1-84882-882-7
  • [2] Breedveld P.C., 2018, 13 INT C BOND GRAPH
  • [3] DEUFLHARD P, 1995, NUMERICAL ANAL
  • [4] An introduction to interconnection and damping assignment passivity-based control in process engineering
    Doerfler, Florian
    Johnsen, Jorgen K.
    Allgoewer, Frank
    [J]. JOURNAL OF PROCESS CONTROL, 2009, 19 (09) : 1413 - 1426
  • [5] Derivation of Input-State-Output Port-Hamiltonian Systems from bond graphs
    Donaire, Alejandro
    Junco, Sergio
    [J]. SIMULATION MODELLING PRACTICE AND THEORY, 2009, 17 (01) : 137 - 151
  • [6] Duindam V, 2009, MODELING AND CONTROL OF COMPLEX PHYSICAL SYSTEMS: THE PORT-HAMILTONIAN APPROACH, P1, DOI 10.1007/978-3-642-03196-0
  • [7] Falaize A., 2019, PYPHS
  • [8] Golo G, 2003, NONLINEAR AND HYBRID SYSTEM IN AUTOMOTIVE CONTROL, P351
  • [9] Karnopp D. C., 2012, ENGINEERINGPRO COLLE
  • [10] Lopes N., 2016, THESIS U PIERRE MARI