Geometric spatial reduction for port-Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Geometric reduction of Hamiltonian systems
Given a foliation S of a manifold M, a distribution Z in M transveral to S and a Poisson bivector Π on M we present a geometric method of reducing this operator on the foliation S along the distribution Z. It encompasses the classical ideas of Dirac (Dirac reduction) and more modern theory of J. Marsden and T. Ratiu, but our method leads to formulas that allow for an explicit calculation of the...
متن کاملInterpolation-based H2 model reduction for port-Hamiltonian systems
Port network modeling of physical systems leads directly to an important class of passive state space systems: port-Hamiltonian systems. We consider here methods for model reduction of large scale port-Hamiltonian systems that preserve port-Hamiltonian structure and are capable of yielding reduced order models that satisfy first-order optimality conditions with respect to an H2 system error met...
متن کاملBalanced realization and model order reduction for port-Hamiltonian systems
This paper is concerned with nonlinear model order reduction for electro-mechanical systems described by port-Hamiltonian formulae. A novel weighted balacend realization and model order reduction procedure is proposed which preserves port-Hamiltonian structure as well as stability, reachability and observability of the original system. This implies that one can utilize the intrinsic physical pr...
متن کاملModel Reduction of port-Hamiltonian Systems as Structured Systems
The goal of this work is to demonstrate that a specific projection-based model reduction method, which provides an H2 error bound, turns out to be applicable to portHamiltonian systems, preserving the port-Hamiltonian structure for the reduced order model, and, as a consequence, passivity.
متن کاملStructure preserving model reduction of port-Hamiltonian systems
It is shown that by use of the Kalman-decomposition an uncontrollable and/or unobservable port-Hamiltonian system is reduced to a controllable/observable system that inherits a port-Hamiltonian structure. Energy and co-energy variable representations for port-Hamiltonian systems are discussed and the reduction procedures are used for both representations. For a general portHamiltonian system in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2019
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2019.01.002