On Factorization, Interconnection and Reduction of Collocated Port-Hamiltonian Systems [PDF]
Based on a geometric interpretation of nonlinear balanced reduction some implications of this approach are analyzed in the case of collocated port-Hamiltonian systems which have a certain balance in its structure.
Ricardo Lopezlena +6 more
core +1 more source
Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
core +3 more sources
A Finite Dimensional Approximation of the shallow water Equations: The port-Hamiltonian Approach [PDF]
We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure.
Ramkrishna Pasumarthy, R.P. +8 more
core +4 more sources
Construction of discrete-time model for port-controlled Hamiltonian systems with applications [PDF]
The issues of constructing a discrete-time model for Hamiltonian systems are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees Hamiltonian conservation ...
Astolfi, A., +4 more
core +1 more source
Geometric Modeling for Control of Thermodynamic Systems
This paper discusses the way that energy and entropy can be regarded as storage functions with respect to supply rates corresponding to the power and thermal ports of the thermodynamic system. Then, this research demonstrates how the factorization of the
Arjan van der Schaft
doaj +1 more source
Sampled Data Systems Passivity and Discrete Port-Hamiltonian Systems [PDF]
In this paper, we present a novel way to approach the interconnection of a continuous and a discrete time physical system. This is done in a way which preserves passivity of the coupled system independently of the sampling time T.
van der Schaft, Arjan +12 more
core +3 more sources
Discrete port-Hamiltonian systems: mixed interconnections [PDF]
Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself.
Talasila, V. +2 more
openaire +2 more sources
Stability of port-Hamiltonian systems with mixed time delays subject to input saturation
In this paper, we investigate the stability of port-Hamiltonian systems with mixed time-varying delays as well as input saturation. Three types of time delays, including state delay, input delay, and output delay, are all assumed to be bounded.
Yufei Chen, Qihuai Liu
doaj +1 more source
Learnability of Linear Port-Hamiltonian Systems
A complete structure-preserving learning scheme for single-input/single-output (SISO) linear port-Hamiltonian systems is proposed. The construction is based on the solution, when possible, of the unique identification problem for these systems, in ways that reveal fundamental relationships between classical notions in control theory and crucial ...
Juan-Pablo Ortega, Daiying Yin
openaire +3 more sources
Energy-Storage Balanced Reduction of Port-Hamiltonian Systems [PDF]
Supported by the framework of dissipativity theory, a procedure based on physical energy to balance and reduce port-Hamiltonian systems with collocated inputs and outputs is presented.
Fujimoto, Kenji +9 more
core +2 more sources

